# An Efficient Genetic Algorithm to Solve the Intermodal Terminal Location problem

Document Type: Research Paper

Authors

1 Laboratoire de Math&amp;eacute;matiques Appliqu&amp;eacute;es du Havre

2 Modeling and Scientific Computing Laboratory

3 Laboratoire de Math&eacute;matiques Appliqu&eacute;es du Havre

Abstract

The exponential growth of the flow of goods and passengers, fragility of certain products and the need for the optimization of transport costs impose on carriers to use more and more multimodal transport. In addition, the need for intermodal transport policy has been strongly driven by environmental concerns and to benefit from the combination of different modes of transport to cope with the increased economic competition. This research is mainly concerned with the Intermodal Terminal Location Problem introduced recently in scientific literature which consists to determine a set of potential sites to open and how to route requests to a set of customers through the network while minimizing the total cost of transportation. We begin by presenting a description of the problem. Then, we present a mathematical formulation of the problem and discuss the sense of its constraints. The objective function to minimize is the sum of road costs and railroad combined transportation costs. As the Intermodal Terminal Location Problemproblem is NP-hard, we propose an efficient real coded genetic algorithm for solving the problem. Our solutions are compared to CPLEX and also to the heuristics reported in the literature. Numerical results show that our approach outperforms the other approaches.

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Main Subjects

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