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Multicommodity transportation and supply problem withstepwise constant cost function

A new model has been developed for multicommodity transportation and supply chain

problems including stepwise constant costs. The model is expressed as an MILP

problem. The modelling equations are presented here. The new model has been tested

on multicommodity problem of SABMiller Europe, and compared to other methods

from the literature. A feasibility checking method has been developed for large scale

MILP problems having binary variables in the objetive function only. This feasibility

checking is made by solving a special relaxed LP problem; and the most probable

physical reason is pointed out by the feasibility check results in case of infeasibility.

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