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Re: Re[Help-glpk] strict varibale to set


From: Andrew Makhorin
Subject: Re: Re[Help-glpk] strict varibale to set
Date: Fri, 28 Aug 2009 19:08:39 +0400

> It's possible to restrict the values of a variable to a specific set?. I
> wish to do something like this:

> set S;
> set I;
> var x{i in I} in S;

> But doesn't work. Currently I'm simulating this behaviour using binary
> varibles but maybe there is a more direct way to do it.

In mip there is no way other than using auxiliary binary variables.
For example, if x can take on only values 1.2, 3.4, and 5.6, one could
model that as follows:

   x = 1.2 * z1 + 3.4 * z2 + 5.6 * z3

   z1 + z2 + z3 = 1

where z1, z2, z3 are binary variables.





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