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Re: [Help-glpk] [Fwd: Binary programming and simplex]


From: caseyh
Subject: Re: [Help-glpk] [Fwd: Binary programming and simplex]
Date: Thu, 03 Nov 2011 18:25:12 -0400
User-agent: Internet Messaging Program (IMP) 4.3.3

With Linear Programming you get fractional answers; UNLESS the coefficient matrix is totally unimodular and the b vector has all integer components.

One of the input settings (VARTYPE?) sets the decision variable result to integers or real numbers.


Quoting Andrew Makhorin <address@hidden>:

-------- Forwarded Message --------
From: Francesco Arneodo <address@hidden>
To: address@hidden
Subject: Binary programming and simplex
Date: Thu, 3 Nov 2011 16:27:17 +0100

Hello,
I am using GLPK to solve a binary problem with 11,000 variables.
I use the simplex method and it seems to work fine. However, I thought
that binary problems are best solved with the branch and cut method
and I have difficulty in understanding how the simplex tackles a
binary problem.
What GLPK does? I mean, it really uses the simplex method, or seeing
that it's a binary problem automatically switches to branch and cut?
Thanks,



Francesco Arneodo
INFN - Laboratori Nazionali del Gran Sasso
Assergi 67100 L'Aquila - Italy
tel. +39 0862 437-207 mobile (-825)
fax +39 0862 437570
Skype: frnz65





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