Modelling and solving logistical problems with combinatorial optimization: case Parmatic

Abstract

This paper deals with various logistical optimisation problems by modelling them with modified versions of, or problems related to, the Vehicle Routing Problem. The problem is modelled as an Asymmetrical Capacitated Vehicle Routing Problem with multiple vehicles, the number of vehicles being found from solving the Bin Packing Problem. First, a linear programming formulation is constructed. Then an object-oriented programming implementation is derived from the original formulation, and implemented into a tool used to solve an empirical case from a construction company. The tool used is a Java-based application developed by the author

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