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From: <mmarzolla@us...>  20120203 22:34:27

Revision: 9580 http://octave.svn.sourceforge.net/octave/?rev=9580&view=rev Author: mmarzolla Date: 20120203 22:34:20 +0000 (Fri, 03 Feb 2012) Log Message:  Package restructuring Modified Paths:  trunk/octaveforge/main/queueing/INSTALL trunk/octaveforge/main/queueing/Makefile trunk/octaveforge/main/queueing/doc/README trunk/octaveforge/main/queueing/doc/installation.txi trunk/octaveforge/main/queueing/doc/queueing.html trunk/octaveforge/main/queueing/doc/queueing.pdf trunk/octaveforge/main/queueing/inst/ctmc_fpt.m Added Paths:  trunk/octaveforge/main/queueing/devel/README Modified: trunk/octaveforge/main/queueing/INSTALL ===================================================================  trunk/octaveforge/main/queueing/INSTALL 20120203 22:15:32 UTC (rev 9579) +++ trunk/octaveforge/main/queueing/INSTALL 20120203 22:34:20 UTC (rev 9580) @@ 106,7 +106,7 @@ This directory contains examples which are automatically extracted from the `demo' blocks of the function files. `broken/' +`devel/' This directory contains function files which are either not working properly, or need additional testing before they can be moved to the `inst/' directory. Modified: trunk/octaveforge/main/queueing/Makefile ===================================================================  trunk/octaveforge/main/queueing/Makefile 20120203 22:15:32 UTC (rev 9579) +++ trunk/octaveforge/main/queueing/Makefile 20120203 22:34:20 UTC (rev 9580) @@ 3,7 +3,7 @@ PROGNAME=queueing DISTNAME=$(PROGNAME)$(VERSIONNUM) SUBDIRS=inst scripts examples doc test broken +SUBDIRS=inst scripts examples doc test devel DISTFILES=COPYING NEWS Makefile DESCRIPTION INSTALL DISTSUBDIRS=inst doc Added: trunk/octaveforge/main/queueing/devel/README ===================================================================  trunk/octaveforge/main/queueing/devel/README (rev 0) +++ trunk/octaveforge/main/queueing/devel/README 20120203 22:34:20 UTC (rev 9580) @@ 0,0 +1,3 @@ +This directory contains scripts which are currently under development; +therefore they may not work correctly, or could be not fully +tested. The content of this directory is ignored by pkg install. Modified: trunk/octaveforge/main/queueing/doc/README ===================================================================  trunk/octaveforge/main/queueing/doc/README 20120203 22:15:32 UTC (rev 9579) +++ trunk/octaveforge/main/queueing/doc/README 20120203 22:34:20 UTC (rev 9580) @@ 42,7 +42,7 @@ This directory contains the script used to execute all tests embedded within functions in the inst/ directory. broken/ +devel/ This directory contains scripts which are currently known not to work correctly, or which are workinprogress. Modified: trunk/octaveforge/main/queueing/doc/installation.txi ===================================================================  trunk/octaveforge/main/queueing/doc/installation.txi 20120203 22:15:32 UTC (rev 9579) +++ trunk/octaveforge/main/queueing/doc/installation.txi 20120203 22:34:20 UTC (rev 9580) @@ 168,7 +168,7 @@ This directory contains examples which are automatically extracted from the @samp{demo} blocks of the function files. @... broken/ +@item devel/ This directory contains function files which are either not working properly, or need additional testing before they can be moved to the @file{inst/} directory. Modified: trunk/octaveforge/main/queueing/doc/queueing.html ===================================================================  trunk/octaveforge/main/queueing/doc/queueing.html 20120203 22:15:32 UTC (rev 9579) +++ trunk/octaveforge/main/queueing/doc/queueing.html 20120203 22:34:20 UTC (rev 9580) @@ 416,7 +416,7 @@ <br><dt><samp><span class="file">examples/</span></samp><dd>This directory contains examples which are automatically extracted from the ‘<samp><span class="samp">demo</span></samp>’ blocks of the function files.  <br><dt><samp><span class="file">broken/</span></samp><dd>This directory contains function files which are either not working + <br><dt><samp><span class="file">devel/</span></samp><dd>This directory contains function files which are either not working properly, or need additional testing before they can be moved to the <samp><span class="file">inst/</span></samp> directory. Modified: trunk/octaveforge/main/queueing/doc/queueing.pdf =================================================================== (Binary files differ) Modified: trunk/octaveforge/main/queueing/inst/ctmc_fpt.m ===================================================================  trunk/octaveforge/main/queueing/inst/ctmc_fpt.m 20120203 22:15:32 UTC (rev 9579) +++ trunk/octaveforge/main/queueing/inst/ctmc_fpt.m 20120203 22:34:20 UTC (rev 9580) @@ 112,17 +112,17 @@ %! M = ctmc_fpt(Q) %! m = ctmc_fpt(Q,1,3) %!test +%!xtest %! Q = unifrnd(0.1,0.9,10,10); %! Q = diag(sum(Q,2)); %! M = ctmc_fpt(Q); %!test +%!xtest %! Q = unifrnd(0.1,0.9,10,10); %! Q = diag(sum(Q,2)); %! m = ctmc_fpt(Q,1,3); %!test +%!xtest %! Q = unifrnd(0.1,0.9,10,10); %! Q = diag(sum(Q,2)); %! m = ctmc_fpt(Q,1,[3 5 6]); This was sent by the SourceForge.net collaborative development platform, the world's largest Open Source development site. 
From: <mmarzolla@us...>  20120203 22:15:38

Revision: 9579 http://octave.svn.sourceforge.net/octave/?rev=9579&view=rev Author: mmarzolla Date: 20120203 22:15:32 +0000 (Fri, 03 Feb 2012) Log Message:  Package restructuring Modified Paths:  trunk/octaveforge/main/queueing/Makefile trunk/octaveforge/main/queueing/doc/queueing.pdf trunk/octaveforge/main/queueing/examples/Makefile Added Paths:  trunk/octaveforge/main/queueing/NEWS trunk/octaveforge/main/queueing/devel/ Removed Paths:  trunk/octaveforge/main/queueing/broken/ Modified: trunk/octaveforge/main/queueing/Makefile ===================================================================  trunk/octaveforge/main/queueing/Makefile 20120203 22:01:31 UTC (rev 9578) +++ trunk/octaveforge/main/queueing/Makefile 20120203 22:15:32 UTC (rev 9579) @@ 4,7 +4,8 @@ DISTNAME=$(PROGNAME)$(VERSIONNUM) SUBDIRS=inst scripts examples doc test broken DISTFILES=COPYING README Makefile DESCRIPTION DESCRIPTION.in INSTALL +DISTFILES=COPYING NEWS Makefile DESCRIPTION INSTALL +DISTSUBDIRS=inst doc .PHONY: clean check @@ 44,7 +45,7 @@ \rm r f $(DISTNAME) fname mkdir $(DISTNAME) echo "$(DISTNAME)" > fname  for d in $(SUBDIRS); do \ + for d in $(DISTSUBDIRS); do \ mkdir p $(DISTNAME)/$$d; \ $(MAKE) C $$d dist; \ done Added: trunk/octaveforge/main/queueing/NEWS ===================================================================  trunk/octaveforge/main/queueing/NEWS (rev 0) +++ trunk/octaveforge/main/queueing/NEWS 20120203 22:15:32 UTC (rev 9579) @@ 0,0 +1,8 @@ +Summary of important uservisible changes for releases of the queueing package + +=============================================================================== +queueing1.0.0 Release Date: 20120203 Release Manager: Moreno Marzolla +=============================================================================== + +** First release of the queueing package + Modified: trunk/octaveforge/main/queueing/doc/queueing.pdf =================================================================== (Binary files differ) Modified: trunk/octaveforge/main/queueing/examples/Makefile ===================================================================  trunk/octaveforge/main/queueing/examples/Makefile 20120203 22:01:31 UTC (rev 9578) +++ trunk/octaveforge/main/queueing/examples/Makefile 20120203 22:15:32 UTC (rev 9579) @@ 1,4 +1,4 @@ DISTFILES=$(wildcard *.m) Makefile +DISTFILES=grabdemo.m Makefile .PHONY: clean distclean check This was sent by the SourceForge.net collaborative development platform, the world's largest Open Source development site. 
From: <mmarzolla@us...>  20120203 22:01:39

Revision: 9578 http://octave.svn.sourceforge.net/octave/?rev=9578&view=rev Author: mmarzolla Date: 20120203 22:01:31 +0000 (Fri, 03 Feb 2012) Log Message:  Package restructuring Modified Paths:  trunk/octaveforge/main/queueing/doc/Makefile Added Paths:  trunk/octaveforge/main/queueing/doc/README Removed Paths:  trunk/octaveforge/main/queueing/README trunk/octaveforge/main/queueing/examples/demo_1_ctmc.m trunk/octaveforge/main/queueing/examples/demo_1_ctmc_exps.m trunk/octaveforge/main/queueing/examples/demo_1_ctmc_fpt.m trunk/octaveforge/main/queueing/examples/demo_1_ctmc_mtta.m trunk/octaveforge/main/queueing/examples/demo_1_ctmc_taexps.m trunk/octaveforge/main/queueing/examples/demo_1_dtmc.m trunk/octaveforge/main/queueing/examples/demo_1_dtmc_fpt.m trunk/octaveforge/main/queueing/examples/demo_1_qnclosed.m trunk/octaveforge/main/queueing/examples/demo_1_qnclosedmultimva.m trunk/octaveforge/main/queueing/examples/demo_1_qnclosedmultimvaapprox.m trunk/octaveforge/main/queueing/examples/demo_1_qnclosedsinglemva.m trunk/octaveforge/main/queueing/examples/demo_1_qnclosedsinglemvaapprox.m trunk/octaveforge/main/queueing/examples/demo_1_qnconvolution.m trunk/octaveforge/main/queueing/examples/demo_1_qnmmm.m trunk/octaveforge/main/queueing/examples/demo_1_qnopensingle.m trunk/octaveforge/main/queueing/examples/demo_1_qnsolve.m trunk/octaveforge/main/queueing/examples/demo_1_qnvisits.m trunk/octaveforge/main/queueing/examples/demo_2_ctmc.m trunk/octaveforge/main/queueing/examples/demo_2_ctmc_mtta.m trunk/octaveforge/main/queueing/examples/demo_2_ctmc_taexps.m trunk/octaveforge/main/queueing/examples/demo_3_ctmc.m Deleted: trunk/octaveforge/main/queueing/README ===================================================================  trunk/octaveforge/main/queueing/README 20120203 12:07:15 UTC (rev 9577) +++ trunk/octaveforge/main/queueing/README 20120203 22:01:31 UTC (rev 9578) @@ 1,52 +0,0 @@ ===============================================================================  The Octave queueing toolbox ===============================================================================  Copyright (C) 2008, 2009, 2010, 2011, 2012 Moreno Marzolla <marzolla (at) cs.unibo.it>  The queueing toolbox ("queueing", in short) is a collection of GNU Octave scripts for numerical evaluation of queueing network models. Open, closed and mixed networks are supported, with single or multiple classes of customers. The queueing toolbox also provides functions for steadystate and transient analysis of Markov chains, as well as fo single station queueing systems.  The latest version of the queueing package can be downloaded from  http://www.moreno.marzolla.name/software/queueing/  This package requires GNU Octave; version 3.0.0 or later should work. The package contains the following directories:  inst/  Contains the Octave mscripts implementing all functions  provided by the queueing toolbox.  doc/  Contains the user documentation, which is automatically  generated from the texinfo strings embedded in the mscripts.  scripts/  This directory contains some scripts used to extract  documentation strings from the mfiles. The scripts here have  been taken almost verbatim from the GNU Octave distribution.  examples/  This directory contains demo functions which are automatically  extracted from the scripts included in the inst/  directory. The demo functions are put in this directory so  that they can be easily embedded into the package documentation.  test/  This directory contains the script used to execute all  tests embedded within functions in the inst/ directory.  broken/  This directory contains scripts which are currently known  not to work correctly, or which are workinprogress.  This package can be distributed according to the terms of the GNU General Public License, version 3 or later. See the file COPYING for details.  Modified: trunk/octaveforge/main/queueing/doc/Makefile ===================================================================  trunk/octaveforge/main/queueing/doc/Makefile 20120203 12:07:15 UTC (rev 9577) +++ trunk/octaveforge/main/queueing/doc/Makefile 20120203 22:01:31 UTC (rev 9578) @@ 1,6 +1,6 @@ DOC=queueing CHAPTERS=summary.texi installation.texi markovchains.texi singlestation.texi queueingnetworks.texi conf.texi ack.texi contributing.texi gpl.texi gettingstarted.texi DISTFILES=$(wildcard *.txi) Makefile $(DOC).pdf $(DOC).html $(DOC).texi +DISTFILES=README $(DOC).pdf $(DOC).html $(DOC).texi .PHONY: clean Copied: trunk/octaveforge/main/queueing/doc/README (from rev 9577, trunk/octaveforge/main/queueing/README) ===================================================================  trunk/octaveforge/main/queueing/doc/README (rev 0) +++ trunk/octaveforge/main/queueing/doc/README 20120203 22:01:31 UTC (rev 9578) @@ 0,0 +1,52 @@ +=============================================================================== + The Octave queueing toolbox +=============================================================================== + +Copyright (C) 2008, 2009, 2010, 2011, 2012 +Moreno Marzolla <marzolla (at) cs.unibo.it> + +The queueing toolbox ("queueing", in short) is a collection of GNU +Octave scripts for numerical evaluation of queueing network +models. Open, closed and mixed networks are supported, with single or +multiple classes of customers. The queueing toolbox also provides +functions for steadystate and transient analysis of Markov chains, as +well as fo single station queueing systems. + +The latest version of the queueing package can be downloaded from + +http://www.moreno.marzolla.name/software/queueing/ + +This package requires GNU Octave; version 3.0.0 or later should work. +The package contains the following directories: + +inst/ + Contains the Octave mscripts implementing all functions + provided by the queueing toolbox. + +doc/ + Contains the user documentation, which is automatically + generated from the texinfo strings embedded in the mscripts. + +scripts/ + This directory contains some scripts used to extract + documentation strings from the mfiles. The scripts here have + been taken almost verbatim from the GNU Octave distribution. + +examples/ + This directory contains demo functions which are automatically + extracted from the scripts included in the inst/ + directory. The demo functions are put in this directory so + that they can be easily embedded into the package documentation. + +test/ + This directory contains the script used to execute all + tests embedded within functions in the inst/ directory. + +broken/ + This directory contains scripts which are currently known + not to work correctly, or which are workinprogress. + +This package can be distributed according to the terms of the GNU +General Public License, version 3 or later. See the file COPYING for +details. + Deleted: trunk/octaveforge/main/queueing/examples/demo_1_ctmc.m ===================================================================  trunk/octaveforge/main/queueing/examples/demo_1_ctmc.m 20120203 12:07:15 UTC (rev 9577) +++ trunk/octaveforge/main/queueing/examples/demo_1_ctmc.m 20120203 22:01:31 UTC (rev 9578) @@ 1,3 +0,0 @@  Q = [ 1 1; \  1 1 ];  q = ctmc(Q) \ No newline at end of file Deleted: trunk/octaveforge/main/queueing/examples/demo_1_ctmc_exps.m ===================================================================  trunk/octaveforge/main/queueing/examples/demo_1_ctmc_exps.m 20120203 12:07:15 UTC (rev 9577) +++ trunk/octaveforge/main/queueing/examples/demo_1_ctmc_exps.m 20120203 22:01:31 UTC (rev 9578) @@ 1,16 +0,0 @@  lambda = 0.5;  N = 4;  birth = lambda*linspace(1,N1,N1);  death = zeros(1,N1);  Q = diag(birth,1)+diag(death,1);  Q = diag(sum(Q,2));  tt = linspace(0,10,100);  p0 = zeros(1,N); p0(1)=1;  L = ctmc_exps(Q,tt,p0);  plot( tt, L(:,1), ";State 1;", "linewidth", 2, \  tt, L(:,2), ";State 2;", "linewidth", 2, \  tt, L(:,3), ";State 3;", "linewidth", 2, \  tt, L(:,4), ";State 4 (absorbing);", "linewidth", 2);  legend("location","northwest");  xlabel("Time");  ylabel("Expected sojourn time"); \ No newline at end of file Deleted: trunk/octaveforge/main/queueing/examples/demo_1_ctmc_fpt.m ===================================================================  trunk/octaveforge/main/queueing/examples/demo_1_ctmc_fpt.m 20120203 12:07:15 UTC (rev 9577) +++ trunk/octaveforge/main/queueing/examples/demo_1_ctmc_fpt.m 20120203 22:01:31 UTC (rev 9578) @@ 1,5 +0,0 @@  Q = [ 1.0 0.9 0.1; \  0.1 1.0 0.9; \  0.9 0.1 1.0 ];  M = ctmc_fpt(Q)  m = ctmc_fpt(Q,1,3) \ No newline at end of file Deleted: trunk/octaveforge/main/queueing/examples/demo_1_ctmc_mtta.m ===================================================================  trunk/octaveforge/main/queueing/examples/demo_1_ctmc_mtta.m 20120203 12:07:15 UTC (rev 9577) +++ trunk/octaveforge/main/queueing/examples/demo_1_ctmc_mtta.m 20120203 22:01:31 UTC (rev 9578) @@ 1,5 +0,0 @@  mu = 0.01;  death = [ 3 4 5 ] * mu;  Q = diag(death,1);  Q = diag(sum(Q,2));  t = ctmc_mtta(Q,[0 0 0 1]) \ No newline at end of file Deleted: trunk/octaveforge/main/queueing/examples/demo_1_ctmc_taexps.m ===================================================================  trunk/octaveforge/main/queueing/examples/demo_1_ctmc_taexps.m 20120203 12:07:15 UTC (rev 9577) +++ trunk/octaveforge/main/queueing/examples/demo_1_ctmc_taexps.m 20120203 22:01:31 UTC (rev 9578) @@ 1,16 +0,0 @@  lambda = 0.5;  N = 4;  birth = lambda*linspace(1,N1,N1);  death = zeros(1,N1);  Q = diag(birth,1)+diag(death,1);  Q = diag(sum(Q,2));  t = linspace(1e3,50,500);  p = zeros(1,N); p(1)=1;  M = ctmc_taexps(Q,t,p);  plot(t, M(:,1), ";State 1;", "linewidth", 2, \  t, M(:,2), ";State 2;", "linewidth", 2, \  t, M(:,3), ";State 3;", "linewidth", 2, \  t, M(:,4), ";State 4 (absorbing);", "linewidth", 2 );  legend("location","east");  xlabel("Time");  ylabel("Timeaveraged Expected sojourn time"); \ No newline at end of file Deleted: trunk/octaveforge/main/queueing/examples/demo_1_dtmc.m ===================================================================  trunk/octaveforge/main/queueing/examples/demo_1_dtmc.m 20120203 12:07:15 UTC (rev 9577) +++ trunk/octaveforge/main/queueing/examples/demo_1_dtmc.m 20120203 22:01:31 UTC (rev 9578) @@ 1,14 +0,0 @@  a = 0.2;  b = 0.15;  P = [ 1a a; b 1b];  T = 0:14;  pp = zeros(2,length(T));  for i=1:length(T)  pp(:,i) = dtmc(P,T(i),[1 0]);  endfor  ss = dtmc(P); # compute steady state probabilities  plot( T, pp(1,:), "b+;p_0(t);", "linewidth", 2, \  T, ss(1)*ones(size(T)), "b;Steady State;", \  T, pp(2,:), "r+;p_1(t);", "linewidth", 2, \  T, ss(2)*ones(size(T)), "r;Steady State;" );  xlabel("Time Step"); \ No newline at end of file Deleted: trunk/octaveforge/main/queueing/examples/demo_1_dtmc_fpt.m ===================================================================  trunk/octaveforge/main/queueing/examples/demo_1_dtmc_fpt.m 20120203 12:07:15 UTC (rev 9577) +++ trunk/octaveforge/main/queueing/examples/demo_1_dtmc_fpt.m 20120203 22:01:31 UTC (rev 9578) @@ 1,4 +0,0 @@  P = [ 0.0 0.9 0.1; \  0.1 0.0 0.9; \  0.9 0.1 0.0 ];  M = dtmc_fpt(P); \ No newline at end of file Deleted: trunk/octaveforge/main/queueing/examples/demo_1_qnclosed.m ===================================================================  trunk/octaveforge/main/queueing/examples/demo_1_qnclosed.m 20120203 12:07:15 UTC (rev 9577) +++ trunk/octaveforge/main/queueing/examples/demo_1_qnclosed.m 20120203 22:01:31 UTC (rev 9578) @@ 1,27 +0,0 @@  P = [0 0.3 0.7; 1 0 0; 1 0 0]; # Transition probability matrix  S = [1 0.6 0.2]; # Average service times  m = ones(1,3); # All centers are singleserver  Z = 2; # External delay  N = 15; # Maximum population to consider   V = qnvisits(P); # Compute number of visits from P  D = V .* S; # Compute service demand from S and V  X_bsb_lower = X_bsb_upper = zeros(1,N);  X_ab_lower = X_ab_upper = zeros(1,N);  X_mva = zeros(1,N);  for n=1:N  [X_bsb_lower(n) X_bsb_upper(n)] = qnclosedbsb(n, D, Z);  [X_ab_lower(n) X_ab_upper(n)] = qnclosedab(n, D, Z);  [U R Q X] = qnclosed( n, S, V, m, Z );  X_mva(n) = X(1)/V(1);  endfor  close all;  plot(1:N, X_ab_lower,"g;Asymptotic Bounds;", \  1:N, X_bsb_lower,"k;Balanced System Bounds;", \  1:N, X_mva,"b;MVA;", "linewidth", 2, \  1:N, X_bsb_upper,"k", \  1:N, X_ab_upper,"g" );  axis([1,N,0,1]);  xlabel("Number of Requests n");  ylabel("System Throughput X(n)");  legend("location","southeast"); \ No newline at end of file Deleted: trunk/octaveforge/main/queueing/examples/demo_1_qnclosedmultimva.m ===================================================================  trunk/octaveforge/main/queueing/examples/demo_1_qnclosedmultimva.m 20120203 12:07:15 UTC (rev 9577) +++ trunk/octaveforge/main/queueing/examples/demo_1_qnclosedmultimva.m 20120203 22:01:31 UTC (rev 9578) @@ 1,31 +0,0 @@  Ntot = 100; # total population size  b = linspace(0.1,0.9,10); # fractions of class1 requests  S = [20 80 31 14 23 12; \  90 30 33 20 14 7];  V = ones(size(S));  X1 = X1 = XX = zeros(size(b));  R1 = R2 = RR = zeros(size(b));  for i=1:length(b)  N = [fix(b(i)*Ntot) Ntotfix(b(i)*Ntot)];  # printf("[%3d %3d]\n", N(1), N(2) );  [U R Q X] = qnclosedmultimva( N, S, V );  X1(i) = X(1,1) / V(1,1);  X2(i) = X(2,1) / V(2,1);  XX(i) = X1(i) + X2(i);  R1(i) = dot(R(1,:), V(1,:));  R2(i) = dot(R(2,:), V(2,:));  RR(i) = Ntot / XX(i);  endfor  subplot(2,1,1);  plot(b, X1, "linewidth", 2, \  b, X2, "linewidth", 2, \  b, XX, "linewidth", 2 );  legend("location","south");  ylabel("Throughput");  subplot(2,1,2);  plot(b, R1, ";Class 1;", "linewidth", 2, \  b, R2, ";Class 2;", "linewidth", 2, \  b, RR, ";System;", "linewidth", 2 );  legend("location","south");  xlabel("Population mix \\beta for Class 1");  ylabel("Resp. Time"); \ No newline at end of file Deleted: trunk/octaveforge/main/queueing/examples/demo_1_qnclosedmultimvaapprox.m ===================================================================  trunk/octaveforge/main/queueing/examples/demo_1_qnclosedmultimvaapprox.m 20120203 12:07:15 UTC (rev 9577) +++ trunk/octaveforge/main/queueing/examples/demo_1_qnclosedmultimvaapprox.m 20120203 22:01:31 UTC (rev 9578) @@ 1,5 +0,0 @@  S = [ 1, 1, 1, 1; 2, 1, 3, 1; 4, 2, 3, 3 ];  V = ones(3,4);  N = [10 5 1];  m = [1 0 1 1];  [U R Q X] = qnclosedmultimvaapprox(N,S,V,m); \ No newline at end of file Deleted: trunk/octaveforge/main/queueing/examples/demo_1_qnclosedsinglemva.m ===================================================================  trunk/octaveforge/main/queueing/examples/demo_1_qnclosedsinglemva.m 20120203 12:07:15 UTC (rev 9577) +++ trunk/octaveforge/main/queueing/examples/demo_1_qnclosedsinglemva.m 20120203 22:01:31 UTC (rev 9578) @@ 1,14 +0,0 @@  S = [ 0.125 0.3 0.2 ];  V = [ 16 10 5 ];  N = 20;  m = ones(1,3);  Z = 4;  [U R Q X] = qnclosedsinglemva(N,S,V,m,Z);  X_s = X(1)/V(1); # System throughput  R_s = dot(R,V); # System response time  printf("\t Util Qlen RespT Tput\n");  printf("\t   \n");  for k=1:length(S)  printf("Dev%d\t%8.4f %8.4f %8.4f %8.4f\n", k, U(k), Q(k), R(k), X(k) );  endfor  printf("\nSystem\t %8.4f %8.4f %8.4f\n\n", NX_s*Z, R_s, X_s ); \ No newline at end of file Deleted: trunk/octaveforge/main/queueing/examples/demo_1_qnclosedsinglemvaapprox.m ===================================================================  trunk/octaveforge/main/queueing/examples/demo_1_qnclosedsinglemvaapprox.m 20120203 12:07:15 UTC (rev 9577) +++ trunk/octaveforge/main/queueing/examples/demo_1_qnclosedsinglemvaapprox.m 20120203 22:01:31 UTC (rev 9578) @@ 1,23 +0,0 @@  S = [ 0.125 0.3 0.2 ];  V = [ 16 10 5 ];  N = 30;  m = ones(1,3);  Z = 4;  Xmva = Xapp = Rmva = Rapp = zeros(1,N);  for n=1:N  [U R Q X] = qnclosedsinglemva(n,S,V,m,Z);  Xmva(n) = X(1)/V(1);  Rmva(n) = dot(R,V);  [U R Q X] = qnclosedsinglemvaapprox(n,S,V,m,Z);  Xapp(n) = X(1)/V(1);  Rapp(n) = dot(R,V);  endfor  subplot(2,1,1);  plot(1:N, Xmva, ";Exact;", "linewidth", 2, 1:N, Xapp, "x;Approximate;", "markersize", 7);  legend("location","southeast");  ylabel("Throughput X(n)");  subplot(2,1,2);  plot(1:N, Rmva, ";Exact;", "linewidth", 2, 1:N, Rapp, "x;Approximate;", "markersize", 7);  legend("location","southeast");  ylabel("Response Time R(n)");  xlabel("Number of Requests n"); \ No newline at end of file Deleted: trunk/octaveforge/main/queueing/examples/demo_1_qnconvolution.m ===================================================================  trunk/octaveforge/main/queueing/examples/demo_1_qnconvolution.m 20120203 12:07:15 UTC (rev 9577) +++ trunk/octaveforge/main/queueing/examples/demo_1_qnconvolution.m 20120203 22:01:31 UTC (rev 9578) @@ 1,13 +0,0 @@  k = [1 2 0];  K = sum(k); # Total population size  S = [ 1/0.8 1/0.6 1/0.4 ];  m = [ 2 3 1 ];  V = [ 1 .667 .2 ];  [U R Q X G] = qnconvolution( K, S, V, m );  p = [0 0 0]; # initialize p  # Compute the probability to have k(i) jobs at service center i  for i=1:3  p(i) = (V(i)*S(i))^k(i) / G(K+1) * \  (G(Kk(i)+1)  V(i)*S(i)*G(Kk(i)) );  printf("k(%d)=%d prob=%f\n", i, k(i), p(i) );  endfor \ No newline at end of file Deleted: trunk/octaveforge/main/queueing/examples/demo_1_qnmmm.m ===================================================================  trunk/octaveforge/main/queueing/examples/demo_1_qnmmm.m 20120203 12:07:15 UTC (rev 9577) +++ trunk/octaveforge/main/queueing/examples/demo_1_qnmmm.m 20120203 22:01:31 UTC (rev 9578) @@ 1,13 +0,0 @@  disp("This is figure 6.4 on p. 220 Bolch et al.");  rho = 0.9;  ntics = 21;  lambda = 0.9;  m = linspace(1,ntics,ntics);  mu = lambda./(rho .* m);  [U R Q X] = qnmmm(lambda, mu, m);  qlen = X.*(R1./mu);  plot(m,Q,"o",qlen,"*");  axis([0,ntics,0,25]);  legend("Jobs in the system","Queue Length","location","northwest");  xlabel("Number of servers (m)");  title("\lambda = 0.9, \mu = 0.9"); \ No newline at end of file Deleted: trunk/octaveforge/main/queueing/examples/demo_1_qnopensingle.m ===================================================================  trunk/octaveforge/main/queueing/examples/demo_1_qnopensingle.m 20120203 12:07:15 UTC (rev 9577) +++ trunk/octaveforge/main/queueing/examples/demo_1_qnopensingle.m 20120203 22:01:31 UTC (rev 9578) @@ 1,6 +0,0 @@  lambda = 3;  V = [16 7 8];  S = [0.01 0.02 0.03];  [U R Q X] = qnopensingle( lambda, S, V );  R_s = dot(R,V) # System response time  N = sum(Q) # Average number in system \ No newline at end of file Deleted: trunk/octaveforge/main/queueing/examples/demo_1_qnsolve.m ===================================================================  trunk/octaveforge/main/queueing/examples/demo_1_qnsolve.m 20120203 12:07:15 UTC (rev 9577) +++ trunk/octaveforge/main/queueing/examples/demo_1_qnsolve.m 20120203 22:01:31 UTC (rev 9578) @@ 1,7 +0,0 @@  QQ = { qnmknode( "m/m/mfcfs", [0.2 0.1 0.1; 0.2 0.1 0.1] ), \  qnmknode( "/g/1ps", [0.4; 0.6] ), \  qnmknode( "/g/inf", [1; 2] ) };  V = [ 1 0.6 0.4; \  1 0.3 0.7 ];  N = [ 2 1 ];  [U R Q X] = qnsolve( "closed", N, QQ, V ); \ No newline at end of file Deleted: trunk/octaveforge/main/queueing/examples/demo_1_qnvisits.m ===================================================================  trunk/octaveforge/main/queueing/examples/demo_1_qnvisits.m 20120203 12:07:15 UTC (rev 9577) +++ trunk/octaveforge/main/queueing/examples/demo_1_qnvisits.m 20120203 22:01:31 UTC (rev 9578) @@ 1,9 +0,0 @@  P = [ 0 0.4 0.6 0; \  0.2 0 0.2 0.6; \  0 0 0 1; \  0 0 0 0 ];  lambda = [0.1 0 0 0.3];  V = qnvisits(P,lambda);  S = [2 1 2 1.8];  m = [3 1 1 2];  [U R Q X] = qnopensingle( sum(lambda), S, V, m ); \ No newline at end of file Deleted: trunk/octaveforge/main/queueing/examples/demo_2_ctmc.m ===================================================================  trunk/octaveforge/main/queueing/examples/demo_2_ctmc.m 20120203 12:07:15 UTC (rev 9577) +++ trunk/octaveforge/main/queueing/examples/demo_2_ctmc.m 20120203 22:01:31 UTC (rev 9578) @@ 1,14 +0,0 @@  a = 0.2;  b = 0.15;  Q = [ a a; b b];  T = linspace(0,14,50);  pp = zeros(2,length(T));  for i=1:length(T)  pp(:,i) = ctmc(Q,T(i),[1 0]);  endfor  ss = ctmc(Q); # compute steady state probabilities  plot( T, pp(1,:), "b;p_0(t);", "linewidth", 2, \  T, ss(1)*ones(size(T)), "b;Steady State;", \  T, pp(2,:), "r;p_1(t);", "linewidth", 2, \  T, ss(2)*ones(size(T)), "r;Steady State;" );  xlabel("Time"); \ No newline at end of file Deleted: trunk/octaveforge/main/queueing/examples/demo_2_ctmc_mtta.m ===================================================================  trunk/octaveforge/main/queueing/examples/demo_2_ctmc_mtta.m 20120203 12:07:15 UTC (rev 9577) +++ trunk/octaveforge/main/queueing/examples/demo_2_ctmc_mtta.m 20120203 22:01:31 UTC (rev 9578) @@ 1,13 +0,0 @@  N = 100;  birth = death = ones(1,N1); birth(1) = death(N1) = 0;  Q = diag(birth,1)+diag(death,1);  Q = diag(sum(Q,2));  t = zeros(1,N/2);  initial_state = 1:(N/2);  for i=initial_state  p = zeros(1,N); p(i) = 1;  t(i) = ctmc_mtta(Q,p);  endfor  plot(initial_state,t,"+");  xlabel("Initial state");  ylabel("MTTA"); \ No newline at end of file Deleted: trunk/octaveforge/main/queueing/examples/demo_2_ctmc_taexps.m ===================================================================  trunk/octaveforge/main/queueing/examples/demo_2_ctmc_taexps.m 20120203 12:07:15 UTC (rev 9577) +++ trunk/octaveforge/main/queueing/examples/demo_2_ctmc_taexps.m 20120203 22:01:31 UTC (rev 9578) @@ 1,34 +0,0 @@  sec = 1;  min = sec*60;  hour = 60*min;  day = 24*hour;   # state space enumeration {2, RC, RB, 1, 0}  a = 1/(10*min); # 1/a = duration of reboot (10 min)  b = 1/(30*sec); # 1/b = reconfiguration time (30 sec)  g = 1/(5000*hour); # 1/g = processor MTTF (5000 hours)  d = 1/(4*hour); # 1/d = processor MTTR (4 hours)  c = 0.9; # coverage  Q = [ 2*g 2*c*g 2*(1c)*g 0 0; \  0 b 0 b 0; \  0 0 a a 0; \  d 0 0 (g+d) g; \  0 0 0 d d];  p = ctmc(Q);  printf("System availability: %f\n",p(1)+p(4));  TT = linspace(1e5,1*day,101);  PP = ctmc_taexps(Q,TT,[1 0 0 0 0]);  A = At = Abart = zeros(size(TT));  A(:) = p(1) + p(4); # steadystate availability  for n=1:length(TT)  t = TT(n);  p = ctmc(Q,t,[1 0 0 0 0]);  At(n) = p(1) + p(4); # instantaneous availability  Abart(n) = PP(n,1) + PP(n,4); # interval base availability  endfor  semilogy(TT,A,";Steadystate;", \  TT,At,";Instantaneous;", \  TT,Abart,";Interval base;");  ax = axis();  ax(3) = 11e5;  axis(ax); \ No newline at end of file Deleted: trunk/octaveforge/main/queueing/examples/demo_3_ctmc.m ===================================================================  trunk/octaveforge/main/queueing/examples/demo_3_ctmc.m 20120203 12:07:15 UTC (rev 9577) +++ trunk/octaveforge/main/queueing/examples/demo_3_ctmc.m 20120203 22:01:31 UTC (rev 9578) @@ 1,26 +0,0 @@  sec = 1;  min = 60*sec;  hour = 60*min;  day = 24*hour;  year = 365*day;  # state space enumeration {2, RC, RB, 1, 0}  a = 1/(10*min); # 1/a = duration of reboot (10 min)  b = 1/(30*sec); # 1/b = reconfiguration time (30 sec)  g = 1/(5000*hour); # 1/g = processor MTTF (5000 hours)  d = 1/(4*hour); # 1/d = processor MTTR (4 hours)  c = 0.9; # coverage  Q = [ 2*g 2*c*g 2*(1c)*g 0 0; \  0 b 0 b 0; \  0 0 a a 0; \  d 0 0 (g+d) g; \  0 0 0 d d];  p = ctmc(Q);  A = p(1) + p(4);  printf("System availability %9.2f min/year\n",A*year/min);  printf("Mean time in RB state %9.2f min/year\n",p(3)*year/min);  printf("Mean time in RC state %9.2f min/year\n",p(2)*year/min);  printf("Mean time in 0 state %9.2f min/year\n",p(5)*year/min);  Q(3,:) = Q(5,:) = 0; # make states 3 and 5 absorbing  p0 = [1 0 0 0 0];  MTBF = ctmc_mtta(Q, p0) / hour;  printf("System MTBF %.2f hours\n",MTBF); \ No newline at end of file This was sent by the SourceForge.net collaborative development platform, the world's largest Open Source development site. 
From: <paramaniac@us...>  20120203 12:07:29

Revision: 9577 http://octave.svn.sourceforge.net/octave/?rev=9577&view=rev Author: paramaniac Date: 20120203 12:07:15 +0000 (Fri, 03 Feb 2012) Log Message:  queueing: add new package for Moreno Marzolla Added Paths:  trunk/octaveforge/main/queueing/ trunk/octaveforge/main/queueing/COPYING trunk/octaveforge/main/queueing/DESCRIPTION trunk/octaveforge/main/queueing/DESCRIPTION.in trunk/octaveforge/main/queueing/INSTALL trunk/octaveforge/main/queueing/Makefile trunk/octaveforge/main/queueing/README trunk/octaveforge/main/queueing/broken/ trunk/octaveforge/main/queueing/broken/Makefile trunk/octaveforge/main/queueing/broken/blkdiagonalize.m trunk/octaveforge/main/queueing/broken/dtmc_period.m trunk/octaveforge/main/queueing/broken/lee_et_al_98.m trunk/octaveforge/main/queueing/broken/qnmmmk_alt.m trunk/octaveforge/main/queueing/broken/qnopenmultig.m trunk/octaveforge/main/queueing/broken/qnopensinglenexp.m trunk/octaveforge/main/queueing/doc/ trunk/octaveforge/main/queueing/doc/Makefile trunk/octaveforge/main/queueing/doc/ack.txi trunk/octaveforge/main/queueing/doc/contributing.txi trunk/octaveforge/main/queueing/doc/gettingstarted.txi trunk/octaveforge/main/queueing/doc/gpl.txi trunk/octaveforge/main/queueing/doc/installation.txi trunk/octaveforge/main/queueing/doc/markovchains.txi trunk/octaveforge/main/queueing/doc/queueing.html trunk/octaveforge/main/queueing/doc/queueing.pdf trunk/octaveforge/main/queueing/doc/queueing.texi trunk/octaveforge/main/queueing/doc/queueingnetworks.txi trunk/octaveforge/main/queueing/doc/singlestation.txi trunk/octaveforge/main/queueing/doc/summary.txi trunk/octaveforge/main/queueing/examples/ trunk/octaveforge/main/queueing/examples/Makefile trunk/octaveforge/main/queueing/examples/demo_1_ctmc.m trunk/octaveforge/main/queueing/examples/demo_1_ctmc_exps.m trunk/octaveforge/main/queueing/examples/demo_1_ctmc_fpt.m trunk/octaveforge/main/queueing/examples/demo_1_ctmc_mtta.m trunk/octaveforge/main/queueing/examples/demo_1_ctmc_taexps.m trunk/octaveforge/main/queueing/examples/demo_1_dtmc.m trunk/octaveforge/main/queueing/examples/demo_1_dtmc_fpt.m trunk/octaveforge/main/queueing/examples/demo_1_qnclosed.m trunk/octaveforge/main/queueing/examples/demo_1_qnclosedmultimva.m trunk/octaveforge/main/queueing/examples/demo_1_qnclosedmultimvaapprox.m trunk/octaveforge/main/queueing/examples/demo_1_qnclosedsinglemva.m trunk/octaveforge/main/queueing/examples/demo_1_qnclosedsinglemvaapprox.m trunk/octaveforge/main/queueing/examples/demo_1_qnconvolution.m trunk/octaveforge/main/queueing/examples/demo_1_qnmmm.m trunk/octaveforge/main/queueing/examples/demo_1_qnopensingle.m trunk/octaveforge/main/queueing/examples/demo_1_qnsolve.m trunk/octaveforge/main/queueing/examples/demo_1_qnvisits.m trunk/octaveforge/main/queueing/examples/demo_2_ctmc.m trunk/octaveforge/main/queueing/examples/demo_2_ctmc_mtta.m trunk/octaveforge/main/queueing/examples/demo_2_ctmc_taexps.m trunk/octaveforge/main/queueing/examples/demo_3_ctmc.m trunk/octaveforge/main/queueing/examples/grabdemo.m trunk/octaveforge/main/queueing/inst/ trunk/octaveforge/main/queueing/inst/Makefile trunk/octaveforge/main/queueing/inst/ctmc.m trunk/octaveforge/main/queueing/inst/ctmc_bd.m trunk/octaveforge/main/queueing/inst/ctmc_bd_solve.m trunk/octaveforge/main/queueing/inst/ctmc_exps.m trunk/octaveforge/main/queueing/inst/ctmc_fpt.m trunk/octaveforge/main/queueing/inst/ctmc_mtta.m trunk/octaveforge/main/queueing/inst/ctmc_solve.m trunk/octaveforge/main/queueing/inst/ctmc_taexps.m trunk/octaveforge/main/queueing/inst/dtmc.m trunk/octaveforge/main/queueing/inst/dtmc_check_P.m trunk/octaveforge/main/queueing/inst/dtmc_fpt.m trunk/octaveforge/main/queueing/inst/dtmc_solve.m trunk/octaveforge/main/queueing/inst/population_mix.m trunk/octaveforge/main/queueing/inst/qnammm.m trunk/octaveforge/main/queueing/inst/qnclosed.m trunk/octaveforge/main/queueing/inst/qnclosedab.m trunk/octaveforge/main/queueing/inst/qnclosedbsb.m trunk/octaveforge/main/queueing/inst/qnclosedgb.m trunk/octaveforge/main/queueing/inst/qnclosedmultimva.m trunk/octaveforge/main/queueing/inst/qnclosedmultimvaapprox.m trunk/octaveforge/main/queueing/inst/qnclosedpb.m trunk/octaveforge/main/queueing/inst/qnclosedsinglemva.m trunk/octaveforge/main/queueing/inst/qnclosedsinglemvaapprox.m trunk/octaveforge/main/queueing/inst/qnclosedsinglemvald.m trunk/octaveforge/main/queueing/inst/qncmva.m trunk/octaveforge/main/queueing/inst/qnconvolution.m trunk/octaveforge/main/queueing/inst/qnconvolutionld.m trunk/octaveforge/main/queueing/inst/qnjackson.m trunk/octaveforge/main/queueing/inst/qnmarkov.m trunk/octaveforge/main/queueing/inst/qnmg1.m trunk/octaveforge/main/queueing/inst/qnmh1.m trunk/octaveforge/main/queueing/inst/qnmix.m trunk/octaveforge/main/queueing/inst/qnmknode.m trunk/octaveforge/main/queueing/inst/qnmm1.m trunk/octaveforge/main/queueing/inst/qnmm1k.m trunk/octaveforge/main/queueing/inst/qnmminf.m trunk/octaveforge/main/queueing/inst/qnmmm.m trunk/octaveforge/main/queueing/inst/qnmmmk.m trunk/octaveforge/main/queueing/inst/qnmvablo.m trunk/octaveforge/main/queueing/inst/qnmvapop.m trunk/octaveforge/main/queueing/inst/qnopen.m trunk/octaveforge/main/queueing/inst/qnopenab.m trunk/octaveforge/main/queueing/inst/qnopenbsb.m trunk/octaveforge/main/queueing/inst/qnopenmulti.m trunk/octaveforge/main/queueing/inst/qnopensingle.m trunk/octaveforge/main/queueing/inst/qnsolve.m trunk/octaveforge/main/queueing/inst/qnvisits.m trunk/octaveforge/main/queueing/scripts/ trunk/octaveforge/main/queueing/scripts/Makefile trunk/octaveforge/main/queueing/scripts/gethelp.cc trunk/octaveforge/main/queueing/scripts/mkdoc trunk/octaveforge/main/queueing/scripts/mungetexi.cc trunk/octaveforge/main/queueing/scripts/pmva.l trunk/octaveforge/main/queueing/scripts/pmva.y trunk/octaveforge/main/queueing/scripts/test.pmva trunk/octaveforge/main/queueing/test/ trunk/octaveforge/main/queueing/test/Makefile trunk/octaveforge/main/queueing/test/fntests.m Added: trunk/octaveforge/main/queueing/COPYING ===================================================================  trunk/octaveforge/main/queueing/COPYING (rev 0) +++ trunk/octaveforge/main/queueing/COPYING 20120203 12:07:15 UTC (rev 9577) @@ 0,0 +1,674 @@ + GNU GENERAL PUBLIC LICENSE + Version 3, 29 June 2007 + + Copyright (C) 2007 Free Software Foundation, Inc. <http://fsf.org/>; + Everyone is permitted to copy and distribute verbatim copies + of this license document, but changing it is not allowed. + + Preamble + + The GNU General Public License is a free, copyleft license for +software and other kinds of works. + + The licenses for most software and other practical works are designed +to take away your freedom to share and change the works. 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If not, see <http://www.gnu.org/licenses/>;. + +Also add information on how to contact you by electronic and paper mail. + + If the program does terminal interaction, make it output a short +notice like this when it starts in an interactive mode: + + <program> Copyright (C) <year> <name of author> + This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'. + This is free software, and you are welcome to redistribute it + under certain conditions; type `show c' for details. + +The hypothetical commands `show w' and `show c' should show the appropriate +parts of the General Public License. Of course, your program's commands +might be different; for a GUI interface, you would use an "about box". + + You should also get your employer (if you work as a programmer) or school, +if any, to sign a "copyright disclaimer" for the program, if necessary. +For more information on this, and how to apply and follow the GNU GPL, see +<http://www.gnu.org/licenses/>;. + + The GNU General Public License does not permit incorporating your program +into proprietary programs. If your program is a subroutine library, you +may consider it more useful to permit linking proprietary applications with +the library. If this is what you want to do, use the GNU Lesser General +Public License instead of this License. But first, please read +<http://www.gnu.org/philosophy/whynotlgpl.html>;. Added: trunk/octaveforge/main/queueing/DESCRIPTION ===================================================================  trunk/octaveforge/main/queueing/DESCRIPTION (rev 0) +++ trunk/octaveforge/main/queueing/DESCRIPTION 20120203 12:07:15 UTC (rev 9577) @@ 0,0 +1,16 @@ +Name: queueing +Version: 1.0.0 +Date: 20120203 +Author: Moreno Marzolla <marzolla@...> +Maintainer: Moreno Marzolla <marzolla@...> +Title: Queueing Networks and Markov chains analysis package for GNU Octave +Description: This package provides functions + for analyzing single station queueing systems, + Queueing Network and Markov chains. Open, closed and mixed + networks with single or multiple job classes are supported; + exact and approximate solution techniques are available. +Categories: Misc +Depends: octave (>= 3.0.0) +Autoload: yes +License: GPL version 3 or later +Url: http://www.moreno.marzolla.name/software/queueing/ Added: trunk/octaveforge/main/queueing/DESCRIPTION.in ===================================================================  trunk/octaveforge/main/queueing/DESCRIPTION.in (rev 0) +++ trunk/octaveforge/main/queueing/DESCRIPTION.in 20120203 12:07:15 UTC (rev 9577) @@ 0,0 +1,16 @@ +Name: PROGNAME +Version: VERSIONNUM +Date: VERSIONDATE +Author: Moreno Marzolla <marzolla@...> +Maintainer: Moreno Marzolla <marzolla@...> +Title: Queueing Networks and Markov chains analysis package for GNU Octave +Description: This package provides functions + for analyzing single station queueing systems, + Queueing Network and Markov chains. Open, closed and mixed + networks with single or multiple job classes are supported; + exact and approximate solution techniques are available. +Categories: Misc +Depends: octave (>= 3.0.0) +Autoload: yes +License: GPL version 3 or later +Url: http://www.moreno.marzolla.name/software/queueing/ Added: trunk/octaveforge/main/queueing/INSTALL ===================================================================  trunk/octaveforge/main/queueing/INSTALL (rev 0) +++ trunk/octaveforge/main/queueing/INSTALL 20120203 12:07:15 UTC (rev 9577) @@ 0,0 +1,167 @@ +This file documents the installation procedure of the `queueing' +toolbox. + + `queueing' is free software; you can redistribute it and/or modify +it under the terms of the GNU General Public License, version 3 or +later, as published by the Free Software Foundation. + + Note: This file (`INSTALL') is automatically generated from + `doc/installation.txi' in the `queueing' sources. Do not modify + this document directly, as changes will be lost. Modify the source + `doc/installation.txi' instead. + +1 Installing the queueing toolbox +********************************* + +1.1 Installation through Octave package management system +========================================================= + +The most recent version of `queueing' is 1.0.0 and can be downloaded +from + +`http://www.moreno.marzolla.name/software/queueing/queueing1.0.0.tar.gz'; + + To install `queueing' in the systemwide location, such that all +functions are automatically available when Octave starts, you can use +`pkg install' command. At the Octave prompt, type the following: + + octave:1> pkg install queueing1.0.0.tar.gz + + (Note: you may need to start Octave as root in order to allow the +installation to copy the files to the target locations). After this, +all functions will be readily available each time Octave starts, +without the need to tweak the search path. To uninstall `queueing', use +the `pkg uninstall queueing' command. + + If you do not have root access, you can do a local installation by +issuing the following command at the Octave prompt: + + octave:1> pkg install local queueing1.0.0.tar.gz + + This will install `queueing' within the user's home directory, and +the package will be available to that user only. *Note:* Octave version +3.2.3 as shipped with Ubuntu 10.04 seems to ignore `local' and always +tries to install the package on the system directory. + +1.2 Manual installation +======================= + +If you want to install `queueing' in a custom location, you can +download the source tarball from the URL above, and unpack it somewhere: + + tar xfz queueing1.0.0.tar.gz + cd queueing1.0.0/ + + Copy all `.m' files from the `inst/' directory to some target +location. Then, you can start Octave with the `p' option to add the +target location to the search path, so that Octave will find all +`queueing' functions automatically: + + octave p _/path/to/queueing_ + + For example, if all `queueing' mfiles are in `/usr/local/queueing', +you can start Octave as follows: + + octave p `/usr/local/queueing' + + If you want, you can add the following line to `~/.octaverc': + + addpath("_/path/to/queueing_"); + +so that the path `/usr/local/queueing' is automatically added to the +search path each time Octave is started, and you no longer need to +specify the `p' option on the command line. + +1.3 Content of the source distribution +====================================== + +The `queueing' source distribution contains the following +subdirectories: + +`doc/' + Documentation source. Most of the documentation is extracted from + the comment blocks of individual function files from the `inst/' + directory. + +`inst/' + This directory contains the mfiles which implement the various + Queueing Network algorithms provided by `queueing'. As a + notational convention, the names of source files containing + functions for Queueing Networks start with the `qn' prefix; the + name of source files containing functions for ContinuousTime + Markov Chains (CTMSs) start with the `ctmc' prefix, and the names + of files containing functions for DiscreteTime Markov Chains + (DTMCs) start with the `dtmc' prefix. + +`test/' + This directory contains the test functions used to invoke all + tests on all function files. + +`scripts/' + This directory contains some utility scripts mostly from GNU + Octave, which extract the documentation from the + speciallyformatted comments in the mfiles. + +`examples/' + This directory contains examples which are automatically extracted + from the `demo' blocks of the function files. + +`broken/' + This directory contains function files which are either not working + properly, or need additional testing before they can be moved to + the `inst/' directory. + + + The `queueing' package ships with a Makefile which can be used to +produce the documentation (in PDF and HTML format), and automatically +execute all function tests. Specifically, the following targets are +defined: + +`all' + Running `make' (or `make all') on the toplevel directory builds + the programs used to extract the documentation from the comments + embedded in the mfiles, and then produce the documentation in PDF + and HTML format (`doc/queueing.pdf' and `doc/queueing.html', + respectively). + +`check' + Running `make check' will execute all tests contained in the + mfiles. If you modify the code of any function in the `inst/' + directory, you should run the tests to ensure that no errors have + been introduced. You are also encouraged to contribute new tests, + especially for functions which are not adequately validated. + +`clean' +`distclean' +`dist' + The `make clean', `make distclean' and `make dist' commands are + used to clean up the source directory and prepare the distribution + archive in compressed tar format. + + +1.4 Using the queueing toolbox +============================== + +You can use all functions by simply invoking their name with the +appropriate parameters; the `queueing' package should display an error +message in case of missing/wrong parameters. You can display the help +text for any function using the `help' command. For example: + + octave:2> help qnmvablo + + prints the documentation for the `qnmvablo' function. Additional +information can be found in the `queueing' manual, which is available +in PDF format in `doc/queueing.pdf' and in HTML format in +`doc/queueing.html'. + + Within GNU Octave, you can also run the test and demo blocks +associated to the functions, using the `test' and `demo' commands +respectively. To run all the tests of, say, the `qnmvablo' function: + + octave:3> test qnmvablo +  PASSES 4 out of 4 tests + + To execute the demos of the `qnclosed' function, use the following: + + octave:4> demo qnclosed + Added: trunk/octaveforge/main/queueing/Makefile ===================================================================  trunk/octaveforge/main/queueing/Makefile (rev 0) +++ trunk/octaveforge/main/queueing/Makefile 20120203 12:07:15 UTC (rev 9577) @@ 0,0 +1,52 @@ +VERSIONNUM=1.0.0 +VERSIONDATE="20120203" +PROGNAME=queueing + +DISTNAME=$(PROGNAME)$(VERSIONNUM) +SUBDIRS=inst scripts examples doc test broken +DISTFILES=COPYING README Makefile DESCRIPTION DESCRIPTION.in INSTALL + +.PHONY: clean check + +ALL: DESCRIPTION doc/conf.texi + for d in $(SUBDIRS); do \ + $(MAKE) C $$d ALL; \ + done + +doc/conf.texi: + \rm f doc/conf.texi + echo "@set VERSION $(VERSIONNUM)" > doc/conf.texi + echo "@set VERSIONDATE $(VERSIONDATE)" >> doc/conf.texi + echo "@set top_srcdir " `pwd` >> doc/conf.texi + +DESCRIPTION: DESCRIPTION.in + cat DESCRIPTION.in  \ + sed "s/PROGNAME/$(PROGNAME)/g"  \ + sed "s/VERSIONNUM/$(VERSIONNUM)/g"  \ + sed "s/VERSIONDATE/$(VERSIONDATE)/g" > DESCRIPTION + +check: + $(MAKE) C test check + +clean: + for d in $(SUBDIRS); do \ + $(MAKE) C $$d clean; \ + done + \rm r f *~ *.tar.gz $(DISTNAME) + +distclean: clean + for d in $(SUBDIRS); do \ + $(MAKE) C $$d distclean; \ + done + \rm r f doc/conf.texi fname DESCRIPTION $(DISTNAME) $(DISTNAME).tar.gz + +dist: ALL + \rm r f $(DISTNAME) fname + mkdir $(DISTNAME) + echo "$(DISTNAME)" > fname + for d in $(SUBDIRS); do \ + mkdir p $(DISTNAME)/$$d; \ + $(MAKE) C $$d dist; \ + done + ln $(DISTFILES) $(DISTNAME)/ + tar cfz $(DISTNAME).tar.gz $(DISTNAME)/ Added: trunk/octaveforge/main/queueing/README ===================================================================  trunk/octaveforge/main/queueing/README (rev 0) +++ trunk/octaveforge/main/queueing/README 20120203 12:07:15 UTC (rev 9577) @@ 0,0 +1,52 @@ +=============================================================================== + The Octave queueing toolbox +=============================================================================== + +Copyright (C) 2008, 2009, 2010, 2011, 2012 +Moreno Marzolla <marzolla (at) cs.unibo.it> + +The queueing toolbox ("queueing", in short) is a collection of GNU +Octave scripts for numerical evaluation of queueing network +models. Open, closed and mixed networks are supported, with single or +multiple classes of customers. The queueing toolbox also provides +functions for steadystate and transient analysis of Markov chains, as +well as fo single station queueing systems. + +The latest version of the queueing package can be downloaded from + +http://www.moreno.marzolla.name/software/queueing/ + +This package requires GNU Octave; version 3.0.0 or later should work. +The package contains the following directories: + +inst/ + Contains the Octave mscripts implementing all functions + provided by the queueing toolbox. + +doc/ + Contains the user documentation, which is automatically + generated from the texinfo strings embedded in the mscripts. + +scripts/ + This directory contains some scripts used to extract + documentation strings from the mfiles. The scripts here have + been taken almost verbatim from the GNU Octave distribution. + +examples/ + This directory contains demo functions which are automatically + extracted from the scripts included in the inst/ + directory. The demo functions are put in this directory so + that they can be easily embedded into the package documentation. + +test/ + This directory contains the script used to execute all + tests embedded within functions in the inst/ directory. + +broken/ + This directory contains scripts which are currently known + not to work correctly, or which are workinprogress. + +This package can be distributed according to the terms of the GNU +General Public License, version 3 or later. See the file COPYING for +details. + Added: trunk/octaveforge/main/queueing/broken/Makefile ===================================================================  trunk/octaveforge/main/queueing/broken/Makefile (rev 0) +++ trunk/octaveforge/main/queueing/broken/Makefile 20120203 12:07:15 UTC (rev 9577) @@ 0,0 +1,14 @@ +DISTFILES=Makefile $(wildcard *.m) + +.PHONY: check dist clean + +ALL: + +dist: + ln $(DISTFILES) ../`cat ../fname`/broken/ + +clean: + \rm f *~ + +distclean: clean + Added: trunk/octaveforge/main/queueing/broken/blkdiagonalize.m ===================================================================  trunk/octaveforge/main/queueing/broken/blkdiagonalize.m (rev 0) +++ trunk/octaveforge/main/queueing/broken/blkdiagonalize.m 20120203 12:07:15 UTC (rev 9577) @@ 0,0 +1,151 @@ +## Copyright (C) 2008, 2009, 2010, 2011, 2012 Moreno Marzolla +## +## This file is part of the queueing toolbox. +## +## The queueing toolbox is free software: you can redistribute it and/or +## modify it under the terms of the GNU General Public License as +## published by the Free Software Foundation, either version 3 of the +## License, or (at your option) any later version. +## +## The queueing toolbox is distributed in the hope that it will be +## useful, but WITHOUT ANY WARRANTY; without even the implied warranty +## of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU +## General Public License for more details. +## +## You should have received a copy of the GNU General Public License +## along with the queueing toolbox. If not, see <http://www.gnu.org/licenses/>;. + +## * texinfo * +## +## @deftypefn {Function File} {[@var{T} @var{p}] =} blkdiagonalize (@var{M}) +## +## @strong{WARNING: this function has not been sufficiently tested} +## +## Given a square matrix @var{M}, return a new matrix @code{@var{T} = +## @var{M}(@var{p},@var{p})} such that @var{T} is in block triangular +## form. +## +## @strong{INPUTS} +## +## @table @var +## +## @item M +## +## Square matrix to be permuted in blocktriangular form +## +## @end table +## +## @strong{OUTPUTS} +## +## @table @var +## +## @item T +## +## The matrix @var{M} permuted in blocktriangular form +## +## @item p +## +## Vector representing the permutation. The matrix @var{T} +## can be derived as @code{@var{T} = @var{M}(@var{p},@var{p})} +## +## @end table +## +## @end deftypefn + +## Author: Moreno Marzolla <marzolla(at)cs.unibo.it> +## Web: http://www.moreno.marzolla.name/ + +function [T p] = blkdiagonalize( M ) + if ( nargin =! 1 ) + print_usage(); + endif + n = rows(M); + ( [n,n] == size(M) )  \ + error( "M must be a square matrix" ); + p = linspace(1,n,n); # identify permutation + T = M; + for i=1:n1 # loop over rows + ## find zero and nonzero elements in the ith row + zel = find(T(i,:)==0); + nzl = find(T(i,:)!=0); + zeroel = zel(zel>i); + nzeroel = nzl(nzl>i); + perm = [ 1:i nzeroel zeroel ]; + + ## Update permutation + p = p(perm); + ## Permute matrix + T = T(perm,perm); + endfor +endfunction +%!demo +%! P = [0 0.4 0 0 0.3 0 0 0.3 0; ... +%! 0.3 0 0 0 0 0 0 0.7 0; ... +%! 0 0 0 0 0 0.3 0 0 0.7; ... +%! 0 0 0 0 1 0 0 0 0; ... +%! 0.3 0 0 0 0 0 0.7 0 0; ... +%! 0 0 0.3 0 0 0 0 0 0.7; ... +%! 1.0 0 0 0 0 0 0 0 0; ... +%! 0 0 0 1.0 0 0 0 0 0; ... +%! 0 0 0.4 0 0 0.6 0 0 0]; +%! P = blkdiagonalize(P); +%! spy(P); + +%!demo +%! A = ones(3); +%! B = 2*ones(2); +%! C = 3*ones(3); +%! D = 4*ones(7); +%! E = 5*ones(2); +%! M = blkdiag(A, B, C, D, E); +%! n = rows(M); +%! spy(M); +%! printf("Press any key or wait 5 seconds..."); +%! pause(5); +%! p = randperm(n); +%! M = M(p,p); +%! spy(M); +%! printf("Scrambled matrix. Press any key or wait 5 seconds..."); +%! pause(5); +%! T = blkdiagonalize(M); +%! spy(T); +%! printf("Unscrambled matrix" ); + +%!xtest +%! A = ones(3); +%! B = 2*ones(2); +%! C = 3*ones(3); +%! D = 4*ones(7); +%! E = 5*ones(2); +%! M = blkdiag(A, B, C, D, E); +%! n = rows(M); +%! p = randperm(n); +%! Mperm = M(p,p); +%! T = blkdiagonalize(Mperm); +%! assert( T, M ); + +## Given a block diagonal matrix M, find the size of all blocks. b(i) is +## the size of ith along the diagonal. A zero matrix is considered to +## have a single block of size equal to the size of the matrix. +function b = findblocks(M) + n = rows(M); + (size(M) == [n,n])  \ + error("M must be a square matrix"); + b = []; + i=d=1; + while( d<n ) + bb = M(i:d,i:d); + z1 = M(i:d,d+1:n); + z2 = M(d+1:n,i:d); + if ( any(bb) && !any(z1) && !any(z2) ) + b = [b di+1]; + i=d+1; + d=i; + else + d++; + endif + endwhile + if (i<d) + b = [b di+1]; + endif +endfunction Added: trunk/octaveforge/main/queueing/broken/dtmc_period.m ===================================================================  trunk/octaveforge/main/queueing/broken/dtmc_period.m (rev 0) +++ trunk/octaveforge/main/queueing/broken/dtmc_period.m 20120203 12:07:15 UTC (rev 9577) @@ 0,0 +1,72 @@ +## Copyright (C) 2011, 2012 Moreno Marzolla +## +## This file is part of the queueing toolbox. +## +## The queueing toolbox is free software: you can redistribute it and/or +## modify it under the terms of the GNU General Public License as +## published by the Free Software Foundation, either version 3 of the +## License, or (at your option) any later version. +## +## The queueing toolbox is distributed in the hope that it will be +## useful, but WITHOUT ANY WARRANTY; without even the implied warranty +## of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU +## General Public License for more details. +## +## You should have received a copy of the GNU General Public License +## along with the queueing toolbox. If not, see <http://www.gnu.org/licenses/>;. + +## * texinfo * +## +## @deftypefn {Function File} {@var{p} =} dtmc_period (@var{P}) +## +## @cindex Markov chain, discretetime +## +## Compute the period @code{@var{p}(i)} of state @math{i}, for all +## states. The period is defined as the greatest common divisor +## of the number of steps after which a DTMC returns to the starting +## state. If state @math{i} is non recurrent, then @code{@var{p}(i) = 0}. +## +## @end deftypefn + +## Author: Moreno Marzolla <marzolla(at)cs.unibo.it> +## Web: http://www.moreno.marzolla.name/ + +function p = dtmc_period( P ) + + n = dtmc_check_P(P); # ensure P is a transition probability matrix + + period = zeros(n,n); # period(i,j) = 1 iff state i returns to itself after exactly j steps + + Pi = P; + + for j=1:n + d = (diag(Pi) > 0); ## d(i) = 1 iff state i returns to itself after j steps + period(:,j) = d; + Pi = Pi*P; + endfor + + p = zeros(1,n); + F = (find( any(period > 0, 2) )'); # F = set of recurrent states + for i=F + p(i) = gcd( find(period(i,:) > 0) ); + endfor +endfunction +%!test +%! P = [0 1 0; 0 0 1; 1 0 0]; # 1 > 2 > 3 > 1 +%! p = dtmc_period(P); +%! assert( p, [3 3 3] ); + +%!test +%! P = [1 0 0; 0 1 0; 0 0 1]; +%! p = dtmc_period(P); +%! assert( p, [1 1 1] ); + +%!test +%! P = [0 1 0; 0 0 1; 0 1 0]; # state 1 is non recurrent +%! p = dtmc_period(P); +%! assert( p, [0 2 2] ); + +%!test +%! P = [0 0 1 0; 0 0 0 1; 0 1 0 0; 0.5 0 0.5 0]; +%! p = dtmc_period(P); +%! assert( p, [1 1 1 1] ); Added: trunk/octaveforge/main/queueing/broken/lee_et_al_98.m ===================================================================  trunk/octaveforge/main/queueing/broken/lee_et_al_98.m (rev 0) +++ trunk/octaveforge/main/queueing/broken/lee_et_al_98.m 20120203 12:07:15 UTC (rev 9577) @@ 0,0 +1,1249 @@ +## Copyright (C) 2007, 2008, 2009, 2010, 2011, 2012 Moreno Marzolla +## +## This file is part of the queueing toolbox. +## +## The queueing toolbox is free software: you can redistribute it and/or +## modify it under the terms of the GNU General Public License as +## published by the Free Software Foundation, either version 3 of the +## License, or (at your option) any later version. +## +## The queueing toolbox is distributed in the hope that it will be +## useful, but WITHOUT ANY WARRANTY; without even the implied warranty +## of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU +## General Public License for more details. +## +## You should have received a copy of the GNU General Public License +## along with the queueing toolbox. If not, see <http://www.gnu.org/licenses/>;. + +## * texinfo * +## +## @deftypefn {Function File} {@var{P} =} lee_et_al_98 ( @var{mu}, @var{mu0}, @var{C}, @var{r}, @var{blocking_type} ) +## +## @strong{WARNING: this implementation is not working yet} +## +## Implementation of the numerical algorithm for approximate solution of +## singleclass queueing networks with blocking. The algorithm is +## described in [1]. This is the implementation of Algorithm 1, p. 192 +## from the paper above, and can be used for cyclic networks. +## +## @strong{INPUTS} +## +## @table @var +## +## @item mu +## +## @code{@var{mu}(i)} is the service rate at service center @math{i}. +## This function aborts if @code{@var{mu}(i) <= 0} for some @math{i}. +## +## @item mu0 +## +## @code{@var{mu0}(i)} is the external arrival rate on service center +## @math{i}. If @code{@var{mu0}(i) <= 0} there is no external arrival on +## service center @math{i}. +## +## @item C +## +## @code{@var{C}(i)} is the capacity of service center @math{i}. The +## buffer size of service center @math{i} is @code{@var{C}(i)1}. This +## function aborts if @code{@var{C}(i) < 1} for some @math{i}. +## +## @item r +## +## @code{@var{r}(i,j)} is the routing probability from service center +## @math{i} to service center @math{j}, that is, the probability that a +## job which completed execution on service center @math{i} is routed to +## service center @math{j}. If @math{\sum_{j} r(i,j) < 1} for some +## @math{i}, then the exit probability of jobs from service center +## @math{i} is @math{( 1  \sum_{j} r(i,j) )}; this is the probability +## that a job leaves the system after completing service at service +## center @math{i}. +## +## @item blocking_type +## +## if @code{@var{blocking_type}(j)==0}, then Blockingafterservice +## (BAS) is assumed for service center @code{@var{S_u1}(j)}; if +## @code{@var{blocking_type}(j)!=0}, then Repetitiveservice blocking is +## assumed for service center @code{@var{S_u1}(j)}. Note that +## Repetitiveservice blocking can only be applied to saturated service +## centers (that is, @code{@var{blocking_type}(j)} can be set != 0 only +## if @code{@var{mu0}(j) > 0}). +## +## @end table +## +## @strong{OUTPUTS} +## +## @table @var +## +## @item P +## +## @code{@var{P}(i,n)} is the steady state probability that there are +## @math{n1} jobs on service center @math{i}. +## +## @end table +## +## @strong{ISSUES} +## +## This implementation makes heavy use of global variables. The reason +## is that there are are many structures which must be passed along to +## different functions. To avoid cluttering the function definitions +## with lot of extra parameters, we make use of global variables. +## +## This implementation makes heavy use of multidimensional arrays. +## Unfortunately, index of octave arrays always start from 1. This is an +## issue, as in many cases (e.g., @var{P_b}), one of the indexes is +## supposed to start from 0. Thus, pay extra attention about the range +## of indexes. +## +## The algorithm by Lee et al. [1] makes heavy use of summations. While +## in octave it is relatively easy to sum the elements of an array (or +## of a matrix), it is not so easy to make nested summations, especially +## if these summations cannot be reduced to matrix/vector +## multiplications. In this implementation, there are many places in +## which nested loops are used. This is inefficient and makes the code +## difficult to read, but again, my understanding is that there is no +## better way to do that. +## +## This implementation is NOT optimized for speed. DO NOT perform speed +## benchmark on this implementation! +## +## @strong{REFERENCES} +## +## @noindent [1] H.S. Lee, A. Bouhchouch, Y. Dallery and Y. Frein, +## @cite{Performance evaluation of open queueing networks with arbitrary +## configuration and finite buffers}, Annals of Operations Research +## 79(1998), 181206 +## +## @noindent [2] HyoSeong Lee; Stephen M. Pollock, @cite{Approximation +## Analysis of Open Acyclic Exponential Queueing Networks with +## Blocking}, Operations Research, Vol. 38, No. 6. (Nov.  Dec., 1990), +## pp. 11231134. +## +## @end deftypefn + +## Author: Moreno Marzolla <marzolla@...> +## Web: http://www.moreno.marzolla.name/ +## Created: 20071120 + +global mu; # mu(1,j) j=1..M is the service rate at S_j +global C; # C(1,j) j=1..M is the capacity of buffer B_j +global r; # r(i,j) i=1..M, j=1..M is the routing probability from S_i to S_j +global C_max; # Scalar representing the maximum value of C() +global N_max; # Scalar representing the maximum value of N() +global mu_u; # mu_u(i,j) i=1..N(j), j=1..M is the upstream service rate of S_u i(j) +global P_b; # P_b(i,n+1,j) is the probability that at service completion instant, the server S_ui(j) sees n other servers being blocked by S_d(j), n=0..N_j1 +global P_s; # P_s(j) is the probability that S_d(j) is starved at the service completion instant, j=1..M +global P; # P(n+1,j) is the steady state probability that T(j) is in state n, n=0,..C_j+N_j +global b_u; # bu_u(i,n+1,j) is the probability that n servers are blocked by S_d(j), including S_ui(j), n=1..N_j +global mu_d; # mu_d(j) is the service rate of S_d(j), j=1..M +global mu0; # mu0(j) is the external arrival rate to service center S_j, j=1..M. If S_j has no external arrival, then mu0(j) = 0 +global blocking_type; # array of integer: blocking_type(j) == 0 iff the blocking type of S_u1(j) is BAS, blocking_type(j) != 0 for repetitiveservice blocking + +## Exported constants +global epsilon = 1e5; # Maximum allowed error on throughput +global iter_count_max = 100; # Maximum number of iterations + +function result = lee_et_al_98( mu_, mu0_, C_, r_, blocking_type_ ) + + error( "*** The lee_et_al_98() function is currently BROKEN. Please do not use it ***" ); + + global mu; + global C; + global r; + global C_max; + global N_max; + global mu_u; + global P_b; + global P_s; + global P; + global b_u; + global mu_d; + global mu0; + global blocking_type; + + if ( nargin != 5 ) + print_usage(); + endif + + M = size(mu_, 2); ## Number of service centers + size(C_) == [1,M]  error( "lee_et_al_98()  parameter C must be a (1xM) vector" ); + size(r_) == [M,M]  error( "lee_et_al_98()  parameter r must be a (MxM) matrix" ); + size(mu0_) == [1,M]  error( "lee_et_al_98()  parameter mu0 must be a (1,M) vector" ); + all( C_ > 0 )  error( "lee_et_al_98()  parameter C must contain elements >0 only" ); + all( mu_ > 0 )  error( "lee_et_al_98()  parameter mu must contain elements >0 only" ); + size(blocking_type_) == [1,M]  error( "lee_et_al_98()  parameter blocking_type bust be a (1,M) vector" ); + + blocking_type = blocking_type_; + mu = [mu_ mu0_]; + mu0 = mu0_; + C = C_; + r = r_; + + ## Some constants + global epsilon; + global iter_count_max; + + ## Some variables + C_max = max(C); # Maximum buffer size + N_max = M+1; # M service centers plus one (optional) external source + mu_d = mu_; + P_b = zeros( N_max, N_max, M ); ## WARNING: the second index should start from 0, not 1!! + P_s = zeros( M ); + P = zeros( C_max+N_max+1, M ); ## WARNING: the first index should start from 0m not 1!! + b_u = zeros( M, N_max+1, M ); ## WARNING: the second index should start from 0, not 1!! + + mu_u = zeros( N_max, M ); + for j = 1:M + for i = 1:N(j) + k = f(i,j); + if ( is_saturated(i,j) ) + mu_u(i,j) = mu(k); + else + mu_u(i,j) = mu(k) * r(k,j); + endif + endfor + endfor + ## End initialization step + + ## Iteration step + iter_count = 1; + + do + + old_mu_u = mu_u; + old_mu_d = mu_d; + + for j=1:M # Begin iteration step + + P(1:C(j)+N(j)+1,j) = compute_P(j)'; + assert( sum(P(:,j)), 1, 1e4 ); + + ## + ## 1 Calculate mu_d(j) using (5) + ## + mu_d( j ) = compute_mu_d( j ); + + ## + ## 2 Calculate P_s(j) using (3) + ## + P_s( j ) = compute_P_s( j ); + + ## + ## 3 Calculate P_b i(n:j) using (4) for n=0:N_j1, i=1:N_j + ## + for i=1:N(j) + for n=1:N(j) + b_u(i,n+1,j) = compute_b_u(i,n,j); + endfor + endfor + for i=1:N(j) + for n=0:N(j)1 + P_b(i,n+1,j) = compute_P_b( i, n, j ); + endfor + ##assert( sum(P_b(i,:,j)), 1, 1e4 ); + endfor + + ## + ## 4 Calculate mu_u(i,k) using (7) for all k \in D_j where f(i,k)=j + ## + for k=D(j) + i = f_inverse_i(j,k); + assert(f(i,k)==j); + mu_u(i,k) = compute_mu_u(i,k); + endfor + + endfor # End iteration step + + err1 = abs( old_mu_d  mu_d ); + err2 = abs( old_mu_u  mu_u ); + iter_count++; + + until ( ( (err1 < epsilon) && (err2 < epsilon) ) +  (iter_count > iter_count_max) ); + + ## fprintf("Converged in %d iterations\n", iter_count ); + + ## Safety check: check that eq. (8) from [1] is satisfied + for j=1:M + for i=1:N(j) + k = f(i,j); + if ( k<=M ) + assert( compute_X_u(i,j), compute_X_d(k) * r(k,j), 1e4 ); + endif + endfor + endfor + ## End safety check + + ## Reshape the result, so that result(i,n) is P_i(n+1), the + ## steadystate probability that (n+1) customers are in service center + ## S_i, n=1..C(j)+1 + result = zeros( M, C_max+1 ); + for j=1:M + ## P_j = compute_P(j); + result(j,[1:C(j)]) = P([1:C(j)],j)'; + result(j,C(j)+1) = sum( P([C(j)+1:C(j)+N(j)+1],j) ); + endfor + +endfunction +%!test +%! source("lee_et_al_98.m"); # This is used to check internal functions + +############################################################################## +## Usage: result = lee_et_al_98_acyclic( mu, mu0, C, r, blocking_type ) +## +## This is Algorithm 2, p. 193 [1], and can be used for acyclic networks +## only. The parameters have the exact same meaning as in function +## lee_et_al_98(). +# function result = lee_et_al_98_acyclic( mu_, mu0_, C_, r_, blocking_type_ ) + +# global mu; # mu(1,j) j=1..M is the service rate at S_j +# global C; # C(1,j) j=1..M is the capacity of buffer B_j +# global r; # r(i,j) i=1..M, j=1..M is the routing probability from S_i to S_j +# global C_max; +# global N_max; +# global mu_u; # mu_u(i,j) i=1..N(j), j=1..M is the upstream service rate of S_u i(j) +# global P_b; +# global P_s; +# global P; +# global b_u; +# global mu_d; +# global mu0; +# global blocking_type; + +# blocking_type = blocking_type_; + +# M = size(mu_, 2); ## Number of service centers +# size(C_) == [1,M]  error( "lee_et_al_98()  parameter C must be a (1xM) vector" ); +# size(r_) == [M,M]  error( "lee_et_al_98()  parameter r must be a (MxM) matrix" ); +# size(mu0_) == [1,M]  error( "lee_et_al_98()  parameter mu0 must be a (1,M) vector" ); +# all( C_ > 0 )  error( "lee_et_al_98()  parameter C must contain elements >0 only" ); +# all( mu_ > 0 )  error( "lee_et_al_98()  parameter mu must contain elements >0 only" ); + +# mu = [mu_ mu0_]; +# mu0 = mu0_; +# C = C_; +# r = r_; + +# ## Some constants +# global epsilon; +# global iter_count_max; + +# ## Some constants +# C_max = max(C); # Maximum buffer size +# N_max = M+1; +# mu_d = mu_; +# P_b = zeros( M, N_max, M ); ## WARNING: the second index should start from 0, not 1!! +# P = zeros( C_max+N_max+1,M ); ## WARNING: the first index should start from 0m not 1!! +# mu_u = zeros( N_max, M ); +# P_s = zeros( M ); +# b_u = zeros( M, N_max+1, M ); ## WARNING: the second index should start from 0, not 1!! + +# for j = 1:M +# for i = 1:N(j) +# k=f(i,j); +# if ( is_saturated(i,j) ) +# mu_u(i,j) = mu(k); +# else +# mu_u(i,j) = mu(k) * r(k,j); +# endif +# endfor +# endfor + +# ## End initialization step + +# ## Iteration step +# iter_count = 1; + +# do + +# old_mu_u = mu_u; +# old_mu_d = mu_d; + +# ## +# ## Step 1 +# ## +# for j=1:M + +# P(1:C(j)+N(j)+1,j) = compute_P(j)'; + +# ## +# ## 1.1 Calculate P_s(j) using (3) +# ## +# P_s( j ) = compute_P_s( j ); + +# ## +# ## 1.2 Calculate mu_u(i,k) using (7) for all k \in D_j where f(i,k)=j +# ## +# for k=D(j) +# i = f_inverse_i(j,k); +# mu_u(i,k) = compute_mu_u(i,k); +# endfor +# endfor + +# ## +# ## Step 2 +# ## +# for j=M:1:1 + +# ##P(1:C(j)+N(j)+1,j) = compute_P(j)'; + +# ## +# ## 2.1 Calculate mu_d(j) using (5) +# ## +# mu_d(j) = compute_mu_d(j); + +# ## +# ## 2.2 Calculate P_b i(n:j) using (4) for n=0:N_j1, i=1:N_j +# ## +# for i=1:N(j) +# for n=1:N(j) +# b_u(i,n+1,j) = compute_b_u(i,n,j); +# endfor +# endfor +# for i=1:N(j) +# for n=0:N(j)1 +# P_b(i,n+1,j) = compute_P_b( i, n, j ); +# endfor +# endfor +# endfor + +# err1 = abs( old_mu_d  mu_d ); +# err2 = abs( old_mu_u  mu_u ); +# iter_count++; + +# until ( ( (err1 < epsilon) && (err2 < epsilon) )  (iter_count > iter_count_max) ); + +# fprintf("Converged in %d iterations\n", iter_count ); + +# result = zeros( M, C_max+1 ); +# for j=1:M +# ## P_j = compute_P(j); +# result(j,[1:C(j)]) = P([1:C(j)],j)'; +# result(j,C(j)+1) = sum( P([C(j)+1:C(j)+N(j)+1],j ) ); +# endfor + +# endfunction + + +############################################################################## +## usage: result = f( i, j ) +## +## f(i,j) is the (scalar) index of the ith upstream server directly linked to +## buffer B_j. This function is defined on p. 186 of [1]. Valid ranges +## for the parameters are j=1..M, i=1..N(j). This function aborts on +## parameters out of range. +function result = f( i, j ) + global r; # not modified + ( i>=1 && i <= N(j) )  error( "f() iindex out of bound" ); + ( j>=1 && j <= size(r,1))  error( "f() jindex out of bound" ); + result = U(j)(i); +endfunction +%!test +%! global r mu0; +%! r = [0 1 1 0; 0 0 1 1; 0 0 0 1; 1 0 0 0]; +%! mu0 = [1 0 1 0]; +%! assert( f(1,3), 7 ); +%! assert( f(2,3), 1 ); +%! assert( f(3,3), 2 ); + + +############################################################################## +## Usage: result = is_saturated( i,j ) +## +## Returns 1 iff S_u i(j) is a saturated server (i.e., if S_u i(j) +## denotes an external arrival). +function result = is_saturated(i,j) + global r mu0; + M = size(r,2); + if ( f(i,j) > M ) + assert( mu0(f(i,j)M) > 0 ); + assert( i == 1 ); + result = 1; + else + result = 0; + endif +endfunction +%!test +%! global r mu0; +%! r = [0 1 1 0; 0 0 1 1; 0 0 0 1; 1 0 0 0]; +%! mu0 = [1 0 1 0]; +%! assert( is_saturated(1,3), 1 ); +%! assert( is_saturated(1,1), 1 ); +%! assert( is_saturated(2,3), 0 ); +%! assert( is_saturated(3,3), 0 ); + + +############################################################################## +## usage: result = f_inverse_i( k, j ) +## +## Returns the (scalar) index i such that f(i,j) = k. That is, returns the +## "position" of server S_k in the list of upstream servers of S_j. +## Valid ranges for the parameters are k=1..M, j=1..M. This function +## aborts on parameters out of range. It also aborts if no index i +## exists such that f(i,j) = k. +function result = f_inverse_i( k, j ) + global r; # never modified + ( j>=1 && j<=size(r,1) )  error( "f_inverse_i()  j parameter out of range" ); + result = find( U(j) == k ); + ( !isempty(result) )  error( "f_inverse_i()  could not find inverse" ); + ( f(result,j) == k )  error( "f_inverse_i()  wrong result" ); +endfunction +%!test +%! global r mu0; +%! r = [0 1 1 0; 0 0 1 1; 0 0 0 1; 1 0 0 0]; +%! mu0 = [1 0 1 0]; +%! assert( f_inverse_i(7,3), 1 ); +%! assert( f_inverse_i(1,3), 2 ); +%! assert( f_inverse_i(2,3), 3 ); + + +############################################################################## +## usage: result = omega( n, j ) +## +## Computes the scalar value \Omega_n(j), as defined on [1] p. 188. This +## function examines the global variable blocking_type to determine +## which variant of \Omega_n should be computed, and returns the +## appropriate result. +function result = omega( n, j ) + if ( get_blocking_type(j) == 0 ) + result = omega_BAS( n, j ); + else + result = omega_RSB( n, j ); + endif +endfunction + + +############################################################################## +## usage: result = omega_prime( n, i, j ) +## +## Computes the scalar value \Omega^i_n(j), as defined on [1] p. 189. +## This function examines the global variable blocking_type to determine +## which variant of \Omega^i_n should be computed, and returns the +## appropriate result. +function result = omega_prime( n, i, j ) + if ( get_blocking_type(j) == 0 ) + result = omega_prime_BAS( n, i, j ); + else + result = omega_prime_RSB( n, i, j ); + endif +endfunction + + +############################################################################## +## usage: omega_BAS( n, j ) +## +## Computes \Omega_n according to the upper part of Fig. 5, p. 188 on +## [1]. This function implements the BlockingAfterService version of +## \Omega_n. Valid ranges for the parameter are n=0..N(j), j=1..M. This +## function aborts on parameters out of range. Note that \Omega_0 is +## defined to be 1, according to [2], p. 1125 +function result = omega_BAS( n, j ) + global mu_u; + + ( n>=0 && n<=N(j) )  error( "omega_BAS() n parameter is invalid" ); + ( j>=1 && j<=size(mu_u,2) )  error( "omega_BAS() j parameter is invalid" ); + + if ( n == 0 ) + result = 1; + else + combs = nchoosek( [1:N(j)], n ); + el = mu_u( :, j )'; # Gets the array of elements of the jth column + result = sum( prod( el( combs ), 2 ) ); + endif +endfunction +%!test +%! global mu_u r mu mu0; +%! M=3; +%! mu_u = 10*rand(M); # to amplify errors +%! r = ones(M); +%! mu = zeros(1,2*M); +%! mu0 = zeros(1,M); +%! expected_result = mu_u(1,2)*mu_u(2,2) + mu_u(1,2)*mu_u(3,2) + mu_u(2,2)*mu_u(3,2); +%! assert(omega_BAS(2,2), expected_result); +%! assert(omega_BAS(0,2),1); + + +############################################################################## +## usage: result = omega_prime_BAS( n, i, j ) +## +## Computes \Omega^i_n for BAS blocking, according to [1], p. 189. +function result = omega_prime_BAS( n, i, j ) + global mu_u; # not modified + + ( i>0 && i<=N(j) )  error( "omega_prime_BAS() iindex out of range" ); + ( j>0 && j<=size(mu_u,2) )  error( "omega_prime_BAS() jindex out of range" ); + ( n>=0 && n<N(j) )  error( "omega_prime_BAS() nindex out of range" ); + + if ( n == 0 ) + result = 1; + else + combs = nchoosek( [ 1:i1 , i+1:N(j)], n ); + el = mu_u( :, j )'; # Gets the array of elements of the jth column + result = sum( prod( el( combs ), 2 ) ); + endif +endfunction +%!test +%! global mu_u r mu mu0; +%! mu_u = 10*rand(3); # to aplify errors +%! mu = zeros(1,6); +%! mu0 = zeros(1,3); +%! r = ones(3); +%! M = 3; +%! assert(omega_prime_BAS(2,2,2), prod(mu_u([1,3],2)) ); +%! assert(omega_prime_BAS(2,1,2), prod(mu_u([2,3],2)) ); +%! assert( omega_prime_BAS(0,1,1), 1 ); + +%!test +%! global mu_u r mu mu0; +%! M=4; +%! mu_u = rand(M); +%! mu = zeros(1,2*M); +%! mu0 = zeros(1,M); +%! r = ones(M); +%! assert( omega_prime_BAS(3,1,3), prod([ mu_u(2,3) mu_u(3,3) mu_u(4,3) ]) ); + + +############################################################################## +## Usage: result = omega_RSB( n, j ) +## +## Computes \Omega_n for RepetitiveService blocking, according to [1], +## fig. 6 p. 188. +function result = omega_RSB( n, j ) + global mu_u; + + ( n>=0 && n<=N(j) )  error( "omega_RSB() n parameter is invalid" ); + ( j>0 && j<=size(mu_u,2) )  error( "omega_RSB() j parameter is invalid" ); + + if ( n == 0  n == N(j) ) ## FIEME??? + result = 1; + else + combs = nchoosek( [2:N(j)], n ); + el = (mu_u( :, j )'); # Gets the array of elements of the jth column + result = sum( prod( el( combs ), 2 ) ); + endif +endfunction +%!test +%! global mu_u r mu mu0; +%! M=4; +%! mu_u = rand(M); +%! mu = zeros(1,2*M); +%! mu0 = zeros(1,M); +%! r = ones(M); +%! tmp = mu_u(:,2)'; +%! expected_result = sum( prod( tmp( [ 2 3; 2 4; 3 4 ] ), 2 ) ); +%! assert(omega_RSB(2,2), expected_result); +%! assert(omega_RSB(0,2), 1); + + +############################################################################## +## Usage: result = omega_prima_RSB( n, i, j ) +## +## Computes \Omega^i_n for RepetitiveService blocking, according to +## [1], p. 189. Note the following assumption: we assume that +## omega_prime_RSB( i, B(j)1, j ) == 1, even if the value of +## omega_prime_RSB for this special case is not considered in [1]. +function result = omega_prime_RSB( n, i, j ) + global mu_u; + + ( i>0 && i<=N(j) )  error( "omega_prime_RSB() iindex out of range" ); + ( j>0 && j<=size(mu_u,2) )  error( "omega_prime_RSB() jindex out of range" ); + ( n>=0 && n<N(j) )  error( "omega_prime_RSB() nindex out of range" ); + + if ( n == 0  n == N(j)1 ) ## FIXME??? + result = 1; + else + combs = nchoosek( [ 2:i1 , i+1:N(j)], n ); + el = (mu_u( :, j )'); # Gets the array of elements of the jth column + result = sum( prod( el( combs ), 2 ) ); + endif +endfunction +%!test +%! global mu_u r mu mu0; +%! M=4; +%! mu_u = rand(M); +%! mu = zeros(1,2*M); +%! mu0 = zeros(1,M); +%! r = ones(M); +%! tmp = mu_u(:,2)'; +%! expected_result = mu_u(2,2)*mu_u(3,2) + mu_u(2,2)*mu_u(4,2) + mu_u(3,2)*mu_u(4,2); +%! assert(omega_prime_RSB(2,1,2), expected_result); +%! assert(omega_prime_RSB(2,2,2), mu_u(3,2)*mu_u(4,2) ); +%! assert(omega_prime_RSB(2,3,2), mu_u(2,2)*mu_u(4,2) ); +%! assert(omega_prime_RSB(0,1,2), 1); + +############################################################################## +## Usage: compute_mu_u(i,j) +## +## Uses eq (7) from [1] to compute \mu_u i (j), i=1..M, j=1..M. The +## result is a scalar value. WARNING: eq (7) is porbably wrong, as it is +## different from the one used in Lemma 1, p. 191 [1]. Here we use +## 1/mu_d(k) instead of 1/mu(k). +function result = compute_mu_u( i, j ) + global mu P_s r P_b mu_d mu_u; + + k = f(i,j); + assert( k<=size(r,1) ); + mu_star_k = sum( mu_u([1:N(k)],k) ); + +# result = r(k,j)/(P_s(k)/mu_star_k + 1/mu(k)  +# r(k,j)* +# sum( P_b(i,[1:N(j)],j) .* [1:N(j)]) / mu_d(j)); + + ## FIXME! Equation (7) is probably wrong. Check Lemma 1 p. 191 + result = r(k,j)/(P_s(k)/mu_star_k + 1/mu_d(k)  r(k,j)*sum( P_b(i,[1:N(j)],j) .* [1:N(j)])/mu_d(j)); +endfunction + + +############################################################################## +## Usage: result = compute_mu_d(j) +## +## Uses eq. (5) from [1] to compute \mu_d (j), j=1..M. The result is a +## scalar value. WARNING: Eq (5) is probably wrong: here we use sum( +## P_b(k,[1:N(m)],m) .* [1:N(m)] ) instead of sum( P_b(k,[1:N(j)],m) .* +## [1:N(j)] ). +function result = compute_mu_d( j ) + global mu_d P_b mu r; + + ( j>0 && j <= size(r,1))  error( "compute_mu_d()  j index out of bound" ); + + s = 0; + for m=D(j) + k = f_inverse_i(j,m); + ## s += r(j,m) * sum( P_b(k,[1:N(j)],m) .* [1:N(j)] ) / mu_d(m); + + ## FIXME: Cambiato in accordo alla tesi di Bovino + s += r(j,m) * sum( P_b(k,[1:N(m)],m) .* [1:N(m)] ) / mu_d(m); + endfor + result = 1/( 1/mu(j) + s ); + ## If j is an exit server, then result must be equal to mu(j) + if ( size( D(j), 2 ) == 0 ) + assert( result, mu(j) ); + endif +endfunction + + +############################################################################## +## Usage: result = compute_P_s(j) +## +## Uses eq. (3) from [1] to compute P_s(j), j=1..M. P_s(j) is the +## probability that S_d(j) is starved (i.e., is empty) at the service +## completion instant. +function result = compute_P_s( j ) + global r P; + #P = compute_P(j); + M = size(r,2); + (j>=1 && j<=M)  error( "compute_P_s()  j index out of bound" ); + result = P(2,j) / ( 1  P(1,j) ); +endfunction + + +############################################################################## +## Usage: result = compute_P(j) +## +## Computes P(n:j) by solving the appropriate birthdeath process. This +## function returns a (1 x C(j)+N(j)+1 ) vector, where result(i) == +## P(i+1,j), i = 1..C(j)+N(j)+1 +function result = compute_P( j ) + global C; + if ( get_blocking_type(j) == 0 ) + result = compute_P_BAS(j); + else + result = compute_P_RSB(j); + endif + ## Check that successive marginal probabilities for nonblocking + ## states are equal each other. This is stated in [2], p. 1126 + if ( C(j) >= 3 ) + for i=0:C(j)2 + assert( result(i+2)/result(i+1), result(i+3)/result(i+2), 1e4 ); + endfor + endif +endfunction + + +############################################################################## +## Usage: result = compute_P_BAS(j) +## +## Compute P(n,j) for each n=0..C(j)+N(j) by solving the birthdeath +## process. Returns a (1 x 1+C(j)+N(j)) vector +function result = compute_P_BAS( j ) + global mu_u mu_d C; + assert( get_blocking_type(j) == 0 ); + + ## Defines the transition probability matrix for the MC + mu_star_j = sum( mu_u([1:N(j)],j) ); + assert( mu_star_j, sum( mu_u(:,j) ) ); + + ## computes the steadystate probability + birth = zeros( 1, C(j)+N(j) ); + death = mu_d(j) * ones( 1, C(j)+N(j) ); + birth(1,[1:C(j)] ) = mu_star_j; + for i=1:N(j) + birth( 1, C(j)+i ) = i*omega_BAS(i,j)/omega_BAS(i1,j); + endfor + result = ctmc_bd_solve( birth, death ); +endfunction + + +############################################################################## +## Usage: result = compute_P_RSB( j ) +## +## Same as compute_P, for Repetitiveservice blocking +function result = compute_P_RSB( j ) + global mu_u mu_d C; + assert( get_blocking_type(j) != 0 ); + + ## Defines the transition probability matrix for the MC + mu_star_j = sum( mu_u([1:N(j)],j) ); + assert( mu_star_j, sum( mu_u(:,j) ) ); + + ## computes the steadystate probability + birth = zeros( 1, C(j)+N(j)1 ); + death = mu_d(j) * ones( 1, C(j)+N(j)1 ); + birth(1,[1:C(j)] ) = mu_star_j; + for i=1:N(j)1 + birth( 1, C(j)+i ) = i*omega_RSB(i,j)/omega_RSB(i1,j); + endfor + result = [ ctmc_bd_solve( birth, death ) 0 ]; +endfunction + + +############################################################################## +## Usage: result = compute_P_b( i, n, j ) +## +## Compute P_b i(n:j) using (4), where n=0..N(j)1, i=1..N(j), j=1..M +## The result is a scalar value. +function result = compute_P_b( i,n,j ) + global b_u C P; + + ( n >= 0 && n < N(j) )  error( "compute_P_b()  n index out of bound" ); + ( i >= 1 && i <= N(j) )  error( "compute_P_b()  i index out of bound" ); + ## P = compute_P(j); + M = size(C,2); + + result = ( P(C(j)+n+1,j)  b_u(i,n+1,j) ) / ( 1  sum( b_u( i, [2:(N(j)+1)], j ) ) ); + ## FIXME: the next seems necessary +# if ( get_blocking_type(j) == 1 && n == N(j)1 ) +# assert( result, 0 ); +# endif +endfunction + + +############################################################################## +## Usage: result = compute_b_u(i,n,j) +## +## Compute b_u i(n:j) using (1), i=1..M, n=0..N(j), j=1..M. The result +## is a single scalar element. According to [2], we let b_u i(0:j) = 0. +function result = compute_b_u(i,n,j) + global mu_u C P; + M = size( C,2 ); + ( i>0 && i<=M )  error( "compute_b_u()  i index out of bound" ); + ( j>0 && j<=M )  error( "compute_b_u()  j index out of bound" ); + ( n >= 0 && n <= N(j) )  error( "compute_b_u()  n index out of bound" ); + if ( n == 0 ) + result = 0; + else + ## P = compute_P( j ); + result = mu_u(i,j) * omega_prime( n1,i,j ) / omega(n,j) * P(C(j)+n+1,j); + endif + if ( get_blocking_type(j) == 1 && n == N(j) ) + assert( result, 0 ); + endif +endfunction + + +############################################################################## +## Usage: result = U( i ) +## +## Returns a vector of the ith element in the set U, that is, returns +## the index of the upstream servers for S_i, i=1..M +## +## @param r the MxM routing matrix +## +## @param mu0 the vector of external arrivals +function result = U( i ) + global r mu0; + M = size(r,2); + ( i>0 && i<=M )  error( "U()  i index out of bound" ); + result = find( r(:,i) > 0 )'; + if ( mu0( i ) > 0 ) + result = [ M+i result ]; + endif +endfunction +%!test +%! global r mu0; +%! r = [0 1 1 0; 0 0 1 1; 0 0 0 1; 1 0 0 0]; +%! mu0 = [1 0 1 0]; +%! assert( U(1), [5 4] ); +%! assert( U(3), [7 1 2] ); + + +############################################################################## +## Usage: result = D( i ) +## +## Given the routing matrix r, computes the downstream index set D_i. +## D_i is defined as the set of indexes of downstream servers directly +## connected with S_i. +function result = D( i ) + global r; + ( i>0 && i<=size(r,1) )  error( "D()  i index out of bound" ); + result = find( r(i,:) > 0 ); +endfunction +%!test +%! global r; +%! r = [0 1 1 0; 0 0 1 1; 0 0 0 1; 1 0 0 0]; +%! assert( D(2), [3 4] ); + + +############################################################################## +## Usage: result = N( i ) +## +## Returns a scalar representing the number of upstream servers of S_i, +## that is, returns the number of elements in U(i); i=1..M +function result = N( i ) + global r; + ( (i>0) && (i<=size(r,1)) )  error( "N()  i index out of bound" ); + result = size( U(i), 2 ); +endfunction +%!test +%! global r mu0; +%! r = [0 1 1 0; 0 0 1 1; 0 0 0 1; 1 0 0 0]; +%! mu0 = [1 0 1 0]; +%! assert( N(1), 2 ); +%! assert( N(3), 3 ); + + +############################################################################## +## Usage: result = get_blocking_type( j ) +## +## Returns the blocking type for server S_u1(j); result == 0 means BAS, +## result == 1 means RSB. +function result = get_blocking_type( j ) + global r mu0 blocking_type; + M = size(r,2); + ## If blocking_type(j) != 0 and mu0(j) > 0, then result == 1 + ## (RepetitiveService Blocking). Otherwise, result == 0 (BAS) + ( j >= 1 && j <= size(mu0,2) )  error( "get_blocking_type()  j \ + parameter out of bounds" ); + if ( f(1,j) <= M ) + result = 0; # nonsaturated servers are always BAS + return + endif + k = f(1,j)  M; + assert( mu0(k) > 0 ); + if ( blocking_type(k) != 0 ) + result = 1; # repetitiveservice blocking + else + result = 0; # BAS + endif +endfunction +%!test +%! global r mu0 blocking_type; +%! r = [0 1 1 0; 0 0 1 1; 0 0 0 1; 1 0 0 0]; +%! mu0 = [1 0 1 0]; +%! blocking_type = [1 0 1 0]; +%! assert( get_blocking_type(1), 1 ); +%! assert( get_blocking_type(2), 0 ); +%! assert( get_blocking_type(3), 1 ); +%! assert( get_blocking_type(4), 0 ); + +# %!test +# %! r = [0 0.35 0.35; 0 0 0.65; 0 0 0]; +# %! C = [ 2 2 3 ]; +# %! mu = [ 2 1.5 1 ]; +# %! mu0 = [ 1.2 0.3 0.2 ]; +# %! P1 = lee_et_al_98( mu, mu0, C, r, [ 1 1 1 ] ); +# %! P2 = lee_et_al_98_acyclic( mu, mu0, C, r, [ 1 1 1 ] ); +# %! assert( P1, P2, 1e4 ); + + +############################################################################## +## Usage: compute_X_u(i,j) +## +## Computes X_ui(j) using eq. (10) from Lee et al. [1] +function result = compute_X_u(i,j) + global P_b mu_d mu_u; + result = 1/( 1/mu_u(i,j) + 1/mu_d(j) * dot( P_b(i,[1:N(j)],j), [1:N(j)] ) ); +endfunction + + +############################################################################## +## Usage: compute_X_d(k) +## +## Computes X_d(k) using eq. (9) from Lee et al. [1] +function result = compute_X_d(k) + global P_s mu_d mu_u; + mu_star_k = sum(mu_u([1:N(k)],k)); + result = 1/( 1/mu_d(k) + P_s(k)/mu_star_k ); +endfunction + + +############################################################################## +## Usage: print_header() +## +## Prints the header used for the demo results +function print_header() + printf("%10s\t%5s\t%5s %5s\t%5s %5s %4s\n", \ + "Param", "Exact", "This", "Err%", "Paper", "Err%", "Res" ); +endfunction + + +############################################################################## +## Usage: compare( param, simulation, result, paper) +## +## This is a function used in the demos +## +## @param param The string representing the parameter name +## +## @param simulation The simulation result shown in the paper +## +## @param result The result computed by this implementation +## +## @param paper The result copmputed by the algorithm shown in the paper +function compare( param, simulation, result, paper ) + + err_res = ( result  simulation ) / simulation * 100; + err_pap = ( paper  simulation ) / simulation * 100; + tolerance = 1e3; + + if ( abs( result  paper ) < tolerance ) + test_result = "PASS"; + else + test_result = "FAIL"; + endif + printf("%10s\t%5.3f\t%5.3f %5.1f\t%5.3f %5.1f %4s\n", param, simulation, result, err_res, paper, err_pap, test_result ); + +endfunction + +############################################################################## +### +### Start "real" tests +### + +%!demo +%! disp("Table V, p. 1130 Lee & Pollock [2]"); +%! r = [ 0 0.4 0.4; \ +%! 0 0 0.7; \ +%! 0 0 0 ]; +%! C = [ 20 2 2 ]; +%! mu = [ 2 2 2 ]; +%! mu0 = [ 1.5 0 0 ]; +%! result = lee_et_al_98( mu, mu0, C, r, [ 1 0 0 ] ); +%! assert( get_blocking_type(1), 1 ); +%! assert( get_blocking_type(2), 0 ); +%! assert( get_blocking_type(3), 0 ); +%! assert( f(1,1), 4 ); +%! assert( f(1,2), 1 ); +%! assert( f(1,3), 1 ); +%! assert( f(2,3), 2 ); +%! print_header(); +%! compare( "P_1(0)", 0.1560, result(1,1), 0.1516 ); +%! compare( "P_1(1)", 0.1297, result(1,2), 0.1287 ); +%! compare( "P_1(2)", 0.1085, result(1,3), 0.1091 ); +%! compare( "P_1(3)", 0.0914, result(1,4), 0.0926 ); +%! compare( "P_1(4)", 0.0772, result(1,5), 0.0786 ); +%! compare( "P_1(5)", 0.0654, result(1,6), 0.0666 ); +%! compare( "P_2(0)", 0.6557, result(2,1), 0.6473 ); +%! compare( "P_2(1)", 0.2349, result(2,2), 0.2357 ); +%! compare( "P_2(2)", 0.1094, result(2,3), 0.1170 ); +%! compare( "P_3(0)", 0.4901, result(3,1), 0.4900 ); +%! compare( "P_3(1)", 0.2667, result(3,2), 0.2662 ); +%! compare( "P_3(2)", 0.2431, result(3,3), 0.2438 ); + +%!demo +%! disp("Table IV, p. 1130 Lee & Pollock [2]"); +%! r = [ 0 0.4 0.4; \ +%! 0 0 0.5; \ +%! 0 0 0 ]; +%! C = [ 1 1 1 ]; +%! mu = [ 1 1 1 ]; +%! mu0 = [ 3.0 0 0 ]; +%! result = lee_et_al_98( mu, mu0, C, r, [ 1 0 0 ] ); +%! print_header(); +%! compare( "P_1(0)", 0.2154, result(1,1), 0.2092 ); +%! compare( "P_1(1)", 0.7846, result(1,2), 0.7909 ); +%! compare( "P_2(0)", 0.7051, result(2,1), 0.6968 ); +%! compare( "P_2(1)", 0.2949, result(2,2), 0.3032 ); +%! compare( "P_3(0)", 0.6123, result(3,1), 0.6235 ); +%! compare( "P_3(1)", 0.3877, result(3,2), 0.3765 ); + +%!demo +%! disp("Table X first group, p 1132 Lee & Pollock [2]"); +%! r = [0 0.35 0.35; \ +%! 0 0 0.65; \ +%! 0 0 0 ]; +%! C = [ 5 4 3 ]; +%! mu = [ 1 1 1 ]; +%! mu0 = [ 2 0.2 0.1 ]; +%! result = lee_et_al_98( mu, mu0, C, r, [ 1 1 1 ] ) +%! print_header(); +%! compare( "P_1(5)", 0.558, result(1,6), 0.558 ); +%! compare( "P_2(4)", 0.074, result(2,5), 0.074 ); +%! compare( "P_3(3)", 0.279, result(3,4), 0.282 ); + +%!demo +%! disp("Table X, second group, p. 1132 Lee & Pollock [2]"); +%! r = [0 0.35 0.35; \ +%! 0 0 0.65; \ +%! 0 0 0 ]; +%! C = [ 2 2 3 ]; +%! mu = [ 2 1.5 1 ]; +%! mu0 = [ 1.2 0.3 0.2 ]; +%! result = lee_et_al_98( mu, mu0, C, r, [ 1 1 1 ] ) +%! print_header(); +%! compare( "P_1(2)", 0.269, result(1,3), 0.272 ); +%! compare( "P_2(2)", 0.193, result(2,3), 0.206 ); +%! compare( "P_3(3)", 0.374, result(3,4), 0.391 ); + +%!demo +%! disp("Table 1 first group, p. 195 Lee & al. [1]"); +%! r = [0 1 0; \ +%! 0 0 1; \ +%! 0.1 0 0 ]; +%! C = [ 2 2 2 ]; +%! mu = [ 1 1 1 ]; +%! mu0 = [ 1 0 0 ]; +%! result = lee_et_al_98( mu, mu0, C, r, [ 1 0 0 ] ) +%! print_header(); +%! compare( "P_1(0)", 0.206, result(1,1), 0.210 ); +%! compare( "P_1(2)", 0.458, result(1,3), 0.483 ); +%! compare( "P_2(0)", 0.265, result(2,1), 0.287 ); +%! compare( "P_2(2)", 0.450, result(2,3), 0.452 ); +%! compare( "P_3(0)", 0.376, result(3,1), 0.389 ); +%! compare( "P_3(2)", 0.334, result(3,3), 0.335 ); + +%!demo +%! disp("Table 1, second group, p. 195 Lee & al. [1]"); +%! r = [0 1 0; \ +%! 0 0 1; \ +%! 0.1 0 0 ]; +%! C = [ 1 1 1 ]; +%! mu = [ 1.5 1.5 1.5 ]; +%! mu0 = [ 1 0 0 ]; +%! result = lee_et_al_98( mu, mu0, C, r, [ 1 0 0 ] ) +%! print_header(); +%! compare( "P_1(0)", 0.510, result(1,1), 0.478 ); +%! compare( "P_1(1)", 0.490, result(1,2), 0.522 ); +%! compare( "P_2(0)", 0.526, result(2,1), 0.532 ); +%! compare( "P_2(1)", 0.474, result(2,2), 0.468 ); +%! compare( "P_3(0)", 0.610, result(3,1), 0.620 ); +%! compare( "P_3(1)", 0.390, result(3,2), 0.380 ); + +%!demo +%! disp("Table 2, first group, p. 196 Lee & al. [1]"); +%! r = [0 0.2 0.2 0.3; \ +%! 0 0 0.6 0.3; \ +%! 0 0 0 0.8; \ +%! 0.1 0 0 0 ]; +%! C = [ 1 1 1 1 ]; +%! mu = [ 1 0.5 0.5 1 ]; +%! mu0 = [ 1 0.2 0.2 0 ]; +%! result = lee_et_al_98( mu, mu0, C, r, [ 1 1 1 0 ] ) +%! print_header(); +%! compare( "P_1(0)", 0.364, result(1,1), 0.338 ); +%! compare( "P_1(1)", 0.636, result(1,2), 0.662 ); +%! compare( "P_2(0)", 0.490, result(2,1), 0.477 ); +%! compare( "P_2(1)", 0.510, result(2,2), 0.523 ); +%! compare( "P_3(0)", 0.389, result(3,1), 0.394 ); +%! compare( "P_3(1)", 0.611, result(3,2), 0.606 ); +%! compare( "P_4(0)", 0.589, result(4,1), 0.589 ); +%! compare( "P_4(1)", 0.411, result(4,2), 0.411 ); + +%!demo +%! disp("Table 3, left column, p. 197 Lee & al. [1]"); +%! r = [0 0.3 0 0 0.3 0 0 0.4; \ +%! 0 0 1 0 0 0 0 0; \ +%! 0 0 0 1 0 0 0 0; \ +%! 0 0.1 0 0 0 0 0 0.9; \ +%! 0 0 0 0 0 1 0 0; \ +%! 0 0 0 0 0 0 1 0; \ +%! 0 0 0 0 0.1 0 0 0.9; \ +%! 0 0 0 0 0 0 0 0 ]; +%! C = [ 2 2 2 2 2 2 2 2 ]; +%! mu = [ 1.5 1 1 1 1 1 1 1.5 ]; +%! mu0 = [ 1 0.2 0 0 0.2 0 0 0 ]; +%! result = lee_et_al_98( mu, mu0, C, r, [ 0 0 0 0 0 0 0 0] ) +%! global mu_d; +%! assert( mu_d(8), mu(8) ); +%! print_header(); +%! compare( "P_1(0)", 0.220, result(1,1), 0.221 ); +%! compare( "P_1(2)", 0.547, result(1,3), 0.539 ); +%! compare( "P_2(0)", 0.434, result(2,1), 0.426 ); +%! compare( "P_2(2)", 0.306, result(2,3), 0.309 ); +%! compare( "P_3(0)", 0.415, result(3,1), 0.406 ); +%! compare( "P_3(2)", 0.315, result(3,3), 0.318 ); +%! compare( "P_4(0)", 0.377, result(4,1), 0.373 ); +%! compare( "P_4(2)", 0.348, result(4,3), 0.352 ); +%! compare( "P_5(0)", 0.434, result(5,1), 0.426 ); +%! compare( "P_5(2)", 0.305, result(5,3), 0.309 ); +%! compare( "P_6(0)", 0.416, result(6,1), 0.406 ); +%! compare( "P_6(2)", 0.315, result(6,3), 0.318 ); +%! compare( "P_7(0)", 0.376, result(7,1), 0.373 ); +%! compare( "P_7(2)", 0.363, result(7,3), 0.352 ); +%! compare( "P_8(0)", 0.280, result(8,1), 0.274 ); +%! compare( "P_8(2)", 0.492, result(8,3), 0.492 ); + +############################################################################## +## +## This is the first bunch of tests. Here we compare the result from the +## Lee et al. algorithm with those obtained from the (exact) MVA for +## open, single class networks. Assuming that there is enough buffer +## space in the original network, the result from Lee et al and MVA +## should be almost exactly the same. + +%!test +%! #printf("Simple tandem network with enough buffer space"); +%! r = [ 0 1 0; \ +%! 0 0 1; \ +%! 0.1 0 0]; +%! C = 20 * ones(1,3); +%! mu=[ 2 2 2 ]; +%! mu0=[ 1 0 0 ]; +%! result = lee_et_al_98( mu, mu0, C, r, [1 0 0] ); +%! Q_lee = zeros(1,3); +%! [U R Q_mva] = qnopen( 1, 1 ./ mu, qnvisits(r, mu0) ); +%! for i=1:3 +%! Q_lee(i) = dot( result(i,:), [0:C(i)] ); +%! #printf("Q(%d) Lee=%5.3f MVA=%5.3f\n", i, Q_lee(i), Q_mva(i) ); +%! assert( Q_lee(i), Q_mva(i), 1e4 ); +%! endfor + +%!test +%! #printf("Table 2, third group, p. 196 Lee & al. [1], enough buffer space"); +%! r = [0 0.2 0.2 0.3; \ +%! 0 0 0.6 0.3; \ +%! 0 0 0 0.8; \ +%! 0.1 0 0 0 ]; +%! C = 20*ones(1,4); +%! mu = [ 2 1 1 2 ]; +%! mu0 = [ 1 0.2 0.2 0 ]; +%! result = lee_et_al_98( mu, mu0, C, r, [ 1 1 1 0 ] ); +%! Q_lee = zeros(1,4); +%! [U R Q_mva] = qnopen( 1, 1 ./ mu, qnvisits(r, mu0 ) ); +%! for i=1:4 +%! Q_lee(i) = dot( result(i,:), [0:C(i)] ); +%! #printf("Q(%d) Lee=%5.3f MVA=%5.3f\n", i, Q_lee(i), Q_mva(i) ); +%! assert( Q_lee(i), Q_mva(i), 1e2 ); +%! endfor + +%!test +%! #printf("Table 3, right column, p. 197 Lee & al. [1], enough buffer space"); +%! r = [0 0.3 0 0 0.3 0 0 0.4; \ +%! 0 0 1 0 0 0 0 0; \ +%! 0 0 0 1 0 0 0 0; \ +%! 0 0.1 0 0 0 0 0 0.9; \ +%! 0 0 0 0 0 1 0 0; \ +%! 0 0 0 0 0 0 1 0; \ +%! 0 0 0 0 0.1 0 0 0.9; \ +%! 0 0 0 0 0 0 0 0 ]; +%! C = 20*ones(1,8); +%! mu = [ 2 1.5 1.5 1.5 1.5 1.5 1.5 2 ]; +%! mu0 = [ 1 0.2 0 0 0.2 0 0 0 ]; +%! result = lee_et_al_98( mu, mu0, C, r, [0 0 0 0 0 0 0 0] ); +%! Q_lee = zeros(1,8); +%! [U R Q_mva] = qnopen( 1, 1./ mu, qnvisits(r, mu0) ); +%! for i=1:8 +%! Q_lee(i) = dot( result(i,:), [0:C(i)] ); +%! #printf("Q(%d) Lee=%5.3f MVA=%5.3f\n", i, Q_lee(i), Q_mva(i) ); +%! assert( Q_lee(i), Q_mva(i), 1e2 ); +%! endfor + + Added: trunk/octaveforge/main/queueing/broken/qnmmmk_alt.m ===================================================================  trunk/octaveforge/main/queueing/broken/qnmmmk_alt.m (rev 0) +++ trunk/octaveforge/main/queueing/broken/qnmmmk_alt.m 20120203 12:07:15 UTC (rev 9577) @@ 0,0 +1,162 @@ +## Copyright (C) 2009 Dmitry Kolesnikov +## +## This file is part of the queueing toolbox. +## +## The queueing toolbox is free software: you can redistribute it and/or +## modify it under the terms of the GNU General Public License as +## published by the Free Software Foundation, either version 3 of the +## License, or (at your option) any later version. +## +## The queueing toolbox is distributed in the hope that it will be +## useful, but WITHOUT ANY WARRANTY; without even the implied warranty +## of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU +## General Public License for more details. +## +## You should have received a copy of the GNU General Public License +## along with the queueing toolbox. If not, see <http://www.gnu.org/licenses/>;. + +## * texinfo * +## +## @deftypefn {Function File} {[@var{U} @var{R} @var{Q} @var{X} @var{p0} @var{pK}] =} qnmmmk_alt (@var{lambda}, @var{mu}, @var{m}, @var{K} ) +## +## @cindex @math{M/M/m/K} system +## +## Compute utilization, response time, average number of requests and +## throughput for a @math{M/M/m/K} finite capacity system. In a +## @math{M/M/m/K} queue there are @math{m \geq 1} service centers. At any +## moment, at most @math{K} requests can be in the system, @math{K +## \geq m}. +## +## @iftex +## +## The steadystate probability @math{\pi_k} that there are @math{k} +## jobs in the system, @math{0 \leq k \leq K} can be expressed as: +## +## @tex +## $$ +## \pi_k = \cases{ \displaystyle{{\rho^k \over k!} \pi_0} & if $0 \leq k \leq m$;\cr +## \displaystyle{{\rho^m \over m!} \left( \rho \over m \right)^{km} \pi_0} & if $m < k \leq K$\cr} +## $$ +## @end tex +## +## where @math{\rho = \lambda/\mu} is the offered load. The probability +## @math{\pi_0} that the system is empty can be computed by considering +## that all probabilities must sum to one: @math{\sum_{k=0}^K \pi_k = 1}, +## which gives: +## +## @tex +## $$ +## \pi_0 = \left[ \sum_{k=0}^m {\rho^k \over k!} + {\rho^m \over m!} \sum_{k=m+1}^K \left( {\rho \over m}\right)^{km} \right]^{1} +## $$ +## @end tex +## +## @end iftex +## +## @strong{INPUTS} +## +## @table @var +## +## @item lambda +## +## Arrival rate (jobs/@math{s}, @code{@var{lambda}>0}). +## +## @item mu +## +## Service rate (jobs/@math{s}, @code{@var{mu}>0}). +## +## @item m +## +## Number of servers (@code{@var{m}>=1}). +## +## @item k +## +## Maximum number of requests allowed in the system (@code{@var{k} >= @var{m}}). +## +## @end table +## +## @strong{OUTPUTS} +## +## @table @var +## +## @item U +## +## Service center utilization +## +## @item R +## +## Service center response time +## +## @item Q +## +## Average number of requests in the system +## +## @item X +## +## Service center throughput +## +## @item p0 +## +## Probability that there are no requests in the system. +## +## @item pK +## +## Probability that there are @math{K} requests in the system (i.e., +## probability that the system is full). +## +## @end table +## +## @var{lambda}, @var{mu}, @var{m} and @var{K} can be vectors of the +## same size. In this case, the results will be vectors as well. +## +## @seealso{qnmm1,qnmminf,qnmmm} +## +## @end deftypefn + +## Author: Dmitry Kolesnikov +function [U R Q X p0 pm pk] = qnmmmk_alt( lambda, mu, m, k) + if ( nargin != 4 ) + print_usage(); + endif + [err lambda mu m k] = common_size( lambda, mu, m, k ); + if ( err ) + error( "Parameters are not of common size" ); + endif + @@ Diff output truncated at 100000 characters. @@ This was sent by the SourceForge.net collaborative development platform, the world's largest Open Source development site. 