On Tue, 5 Jun 2018, Jan van Rijn wrote:

I need to add two things:
- It is my conjecture that there should be an additional constraint, i.e.,
y[r,c] > 0 (Otherwise non-selected rows could participate towards a lower
score)

Correct,

- M[r,c] should contain positive values (which guarantees that y[r,c] == 1
iff x[r] - SUM x[s] == 1)

I'm pretty sure that is not necessary.
the y's depend only on the x's and the order of the M values.
In any case, I think the zeros in your original problem
will not be much of an issue.
Consistent tie-breaking is important.

--
Michael   [email protected]
"Sorry but your password must contain an uppercase letter, a number,
a haiku, a gang sign, a heiroglyph, and the blood of a virgin."
                                                             --  someeecards

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