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


From: Michael Hennebry
Subject: Re: [Help-glpk] Implementing conditional amount constraints using binary variables
Date: Wed, 3 Jun 2009 10:42:30 -0500 (CDT)
User-agent: Alpine 1.00 (DEB 882 2007-12-20)

On Tue, 2 Jun 2009, Yaron Kretchmer wrote:

I would like to implement the following condition on two variables:
*) If the amount of variable *a* is greater than 0, then the amount of
variable *b* needs to be equal to that of a.

How much greater?
Absent a finite number, I suspect that there is no MILP representation.
If there is only one such pair of variables,
the best solution might be to represent it as two separate problems.

*) If the amount of variable a is zero, then the amount of variable b is not
restricted.

--
Michael   address@hidden
"Pessimist: The glass is half empty.
Optimist:   The glass is half full.
Engineer:   The glass is twice as big as it needs to be."




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