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Re: [Help-glpk] binary boolean
From: |
Andrew Makhorin |
Subject: |
Re: [Help-glpk] binary boolean |
Date: |
Sat, 05 May 2012 23:59:22 +0400 |
> 3. Yet another description (as pointed out by Erwin and Michael)
>
> z >= x
>
> z >= y
>
> z <= x+y
>
> It is a good description, because all inequalities are facet-defined
> (until the mip instance includes other constraints).
>
This case is a CNF description, because
z >= x can be written as z + (1 - x) >= 1
z >= y can be written as z + (1 - y) >= 1
z <= x+y can be written as x + y + (1 - z) >= 1
so it is equivalent to the case 1, where one of the constriants is
redundant.