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Re: [Help-glpk] Implementing conditional amount constraints using binary


From: Xypron
Subject: Re: [Help-glpk] Implementing conditional amount constraints using binary variables
Date: Wed, 03 Jun 2009 22:24:11 +0200
User-agent: Mozilla/5.0 (X11; U; Linux i686; en-US; rv:1.8.1.21) Gecko/20090402 SeaMonkey/1.1.16

Hello Yaron,

param M := 1000;
var a, >=0, <= M;
var b, >=0, <= M;
var x, binary;

minimize opt: a - .3 * b;
s.t. c0: a <= x * M;
s.t. c1: a - b <= ( 1 - x ) * M;
s.t. c2: b - a <= ( 1 - x ) * M;

solve;
display a, b, x;
end;

Best regards

Xypron

Yaron Kretchmer wrote:
Both a and b can be bounded by a  large M.
So let me reformulate my problem:

0 <= a <= M

if a > 0 : a=b

if a=0 : 0<=b<=M

Thanks
Kretch






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