Vehicle Routing Problem with Time Windows and Simultaneous Delivery and Pick-Up Service Based on MCPSO
نویسندگان
چکیده
This paper considers two additional factors of the widely researched vehicle routing problem with time windows VRPTW . The two factors, which are very common characteristics in realworld, are uncertain number of vehicles and simultaneous delivery and pick-up service. Using minimization of the total transport costs as the objective of the extension VRPTW, a mathematic model is constructed. To solve the problem, an efficient multiswarm cooperative particle swarm optimization MCPSO algorithm is applied. And a new encoding method is proposed for the extension VRPTW. Finally, comparing with genetic algorithm GA and particle swarm optimization PSO algorithm, the MCPSO algorithm performs best for solving this problem.
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