>> Does any of you know if there is a free
>> library that implements a solver for
>> the transportation problem?
> 
> The transportation problem is a particular case of the minimum cost
> flow problem, which can be solved either with the standard simplex or
> with a specialized algorithm like the network simplex. Currently glpk
> includes the api routine glp_mincost_okalg that implements the
> out-of-kilter algorithm. For more details see the document "Graph and
> Network Routines" (doc/graphs.pdf) included in the glpk distribution.

See also the following page:
http://people.brunel.ac.uk/~mastjjb/jeb/or/netflow.html



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