The Open Vehicle Routing Problem was brought forward several decades ago, but it has still received little attention from researchers for a satisfactory solution. In this paper, a novel real number encoding method of Particle Swarm Optimization (PSO) for Open Vehicle Routing Problem is proposed. The vehicle is mapped into the integer part of the real number; and the sequence of customers in the vehicle is mapped into the decimal fraction of the real number. After decoding, several heurist methods are applied into the post-optimization procedure, such as Nearest Insertion algorithm, GENI algorithm, and 2-Opt. They are used to optimize the inner or outer routes and modify illegal solutions. In the experiments, a number of numerical examples are carried out for testing and verification. The performance of the proposed post-optimization algorithm is analyzed and the particle swarm optimization algorithm is compared with other heuristic methods for the same problem.
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- Particle Swarm Optimization for Open Vehicle Routing Problem
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