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[Help-glpk] Division


From: Kasper Tordrup
Subject: [Help-glpk] Division
Date: Wed, 19 Oct 2011 12:47:03 +0200

Hi Guys
I find myself in need of a constraint that should look like this:

s.t. phase{u in U, j in 1..3}: sum{s in S} ((ps[s] * y[s,j,u]) / o[s,u]) = d[j,u];

But since division with o[s,u] is not linear I can't do that.
So can anyone explain how one could make the constraint linear?

set S;
set U;
param ps {s in S}, integer, > 0;
var y {s in S, j in 1..3, u in U}, binary;
var o {s in S, u in U}, integer, >= 0;
var d {j in 1..3, u in U}, integer, >= 0;

Regards,
Kasper

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