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[Help-glpk] 0-1 Integer Programming problem

From: Gaurav Khanna
Subject: [Help-glpk] 0-1 Integer Programming problem
Date: Sun, 24 Jul 2005 23:59:07 -0700 (PDT)


I am trying to solve a 0-1 linear optimization problem
with linear constraints. I am explaining the problem i
am facing with a small example. lets say there are
three variables i am solving for Xij, Yij and Zij.
Each of the X,Y, and Z are indexed by i and j where i
varies from 1 to 10, j varies from 1 to 100. The
function f is defined as

f = (for all i  max( C1*Xij + C2*Yij)) and the goal
function is min(f) subject to a set of constraints on
Xij and Yij. Is this possible to do in GLPK.? The
reason i am asking this is because GLPK requires
entering the coeffecients for each of the terms in the
goal function .However, here i cant determine the
coefficients since my goal function which is to be
minimized is itself a maximum over multiple functions.


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