At 4:18pm -0500 Thu, 14 Nov 2013, Joseph Mundy wrote:
It is possible in glpk to represent variables with multiple bounds
that are disjoint? For example,

1<= x <=2 or 5<=x<=7. It seems that two different linear programs
must be formulated.

Yes, it is generally possible.  Consider:

    1 * b       <= x <= 2*b
    5 * (1 - b) <= x <= 7 * (1 - b)

where 'b' is a binary variable. I don't know if GLPK supports multiple bounds directly on variables, but you can certainly incorporate the disjointness as standard constraints.

Kevin

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