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[Help-glpk] [Q] General network model question


From: Ted Poe
Subject: [Help-glpk] [Q] General network model question
Date: Mon, 4 Jun 2007 05:32:10 -0700 (PDT)

All,

I've been wracking my head over a network flow model issue, googled all
around, and still can't determine if I can model something
successfully.

I have a simple three-node network to be evaluated over 365 days: one
source, one sink, and one node which serves as a reservoir.  The source
can serve the sink or the reservoir.  The source and the reservoir can
serve the sink.  The flow from the source to the sink, directly, is
insufficient at peak times, so the reservoir serves as the additional
supply.  The variable costs to move along the arcs are fixed.

Alone, this is a trivial model, however, the commodity flowing has a
time-varying value and therefore the cost of the supply in the
reservoir can change daily.  Additionally, I'd like to determine the
optimal sizes of the three arcs and the reservoir since the larger they
are, the more expensive they are.

Has anyone seen an example or a reference that could help me get this
modelled properly?

Thanks,
Ted





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