Model and Algorithm for Vehicle Routing Problem with Backhauls and Time Windows
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摘要: 在分析具有回送运输和时间窗的车辆路径问题特点的基础上,建立了该问题的优化数学模型,并通过设置与发货点距离为零的虚拟集货点使问题简化.在此基础上,构造了求解问题的改进遗传算法.在算法中,结合问题的特点设计了确保个体编码有效性的OX交叉算子,并采用基于Metropolis判别准则的复制算子,确保个体多样性和避免算法过早收敛.算例表明算法有效可行.Abstract: The characteristic of vehicle routing problem with backhauls and time windows was analyzed.An optimization model was proposed.The problem was simplified by setting a virtual collecting depot,from which the distance to the consignment depot is zero.To solve the model,an improved genetic algorithm was presented.An OX-crossover operator was designed to keep individual codes valid,and the reproduction operator based on Metropolis criteria was used to guarantee the diversity of individuals and to avoid premature convergence.Experimental computation indicates that the algorithm is valid and feasible.
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Key words:
- genetic algorithm /
- vehicle routing problem /
- backhaul /
- time window /
- model
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