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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