
From:  Robert Anderson 
Subject:  Re: [Helpglpk] How to find all solutions of binary problem? 
Date:  Sun, 08 Jan 2006 19:17:35 0800 
Useragent:  Mozilla Thunderbird 1.0 (Windows/20041206) 
Andrew Makhorin wrote:
Whether or not they are "equivalent" is IMO irrelevant wrt the need to know the number and identity of such solutions.I searched the archives for "multiple solutions" and found good info for realvalued solutions but none for ILP. Is it possible to get glpsol to generate all binary solutions?Formally all optimal solutions are equivalent. If you suppose that they are not equivalent, you should introduce additional constraints (and/or modify the objective function) to determine solution having desirable properties.
You may need to have this enumeration to even know what kinds of extra constraints may be required to select between "equivalent" solutions in the not yet quite fully specified problem.
The number and structure and relation of such multiple solutions can be by itself important information.
Bob
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