TWO MODELS OF THE CAPACITATED VEHICLE ROUTING PROBLEM

Two models of the capacitated vehicle routing problem

Two models of the capacitated vehicle routing problem

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The aim of the Capacitated Vehicle Routing Problem (CVRP) is to find a set of minimum total cost routes for a fleet of capacitated vehicles based at a single depot, to serve a set of customers.There exist various integer linear programming models of the CVRP.One of the main differences lies in the way to eliminate here sub-tours, i.e.

cycles that do not go through the depot.In this paper, we describe a well-known flow formulation of CVRP, where sub-tour elimination constraints have a cardinality exponentially growing with the number of customers.Then we present a mixed linear programming formulation with polynomial cardinality of sub-tour elimination constraints.Both quadruple topical ointment for dogs of the models were implemented and compared on several benchmarks.

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