VRP Model and a Heuristic Algorithm Based on Strategy of Replenishment on the Way with Regions-integrated

Li Yan-hui, Liu Xiang, Shen Dan
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Abstract

It is necessary to consider the maximum load of truck and replenishment location in the regions-integrated distribution routes planning. After stating the assumptions, a mixed integer nonlinear programming model was built to solve the vehicle routing problem (VRP) based on the strategy of replenishment on the way with regions-integrated. Since the problem is NP-hard and existing algorithms can not be used directly, according to the model's specific configuration, a heuristic algorithm was developed based on the geometrical analysis, by which the replenishment locations on the way and the distribution route can be ascertained by secondary search and batch insert. Finally, a numerical example was given to demonstrate the algorithm operation, it showed that the decision model was practical and the algorithm was valid
基于区域集成的途中补货策略的VRP模型及启发式算法
在区域一体化配送路线规划中,需要考虑货车最大载重和补货位置。在给出假设条件的基础上,建立了一个混合整数非线性规划模型,用于求解基于区域集成的途中补货策略的车辆路径问题。针对该问题具有NP-hard性质,且现有算法不能直接应用的特点,根据模型的具体配置,提出了一种基于几何分析的启发式算法,通过二次搜索和批量插入来确定途中补货位置和配送路线。最后,给出了一个数值算例,验证了该决策模型的实用性和算法的有效性
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