Four indexes transportation problem with interval cost parameter for goods allocation planning

Building on a case study that we generalize, we use a model of interval four indexes transportation problem (4ITP: origin, destination, goods types, vehicle types) and find a solution on the minimum transportation cost for the distribution planning between manufacturers and customers. The 4ITP with real variables and deterministic parameters was solved for all cases where the problem is degenerated or not and the SEC is satisfied or not. From this result, we develop a resolution algorithm on the coupling of mathematical model and particle swarm optimization method to solve the 4ITP with interval cost parameter. This will be programmed in FORTRAN 95 and tested on small, medium and large instances. From the AAS's industrial database, which is the first rank subcontractor for Airbus in France, we use an algorithm to determine the input database for the mix model 4ITP. This obtained result will be coupled with the interval four indexes model for the implementation in industry.