Geoffrey Coram - 2007-01-12

spConfig.h says that defining MODIFIED_MARKOWITZ has this affect:

* First, under modified
* Markowitz, the search for a pivot can be terminated early if a
* adequate (in terms of sparsity) pivot candidate is found.

It seems this will only happen if there is a huge number of ties of Markowitz product is found, i.e.,
  if (NumberOfTies >= MinMarkowitzProduct * TIES_MULTIPLIER)

So, with TIES_MULTIPLIER = 5 (by default), one could have 20 ties of MMP=4 and this would terminate the search without finding a possible MP of 1 that comes later.

-Geoffrey