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在LMRPVCC问题优化模型基础上,在目标函数与约束条件中引入运输补偿成本项及服务半径Dr,将模型扩展为引入补偿策略的LMRPVCC选址-库存问题的非线性整数规划模型。利用所设计的粒子群算法对Daskin和Shen的文章中的49节点、88节点算例求解,并对补偿系数W、服务半径Dr及运输成本系数β进行敏感性分析,认为服务半径Dr越小,超出服务半径的零售商数量越多,配送中心需额外支出的补偿费用越高;服务半径Dr越大,超出服务半径的零售商数量越少,配送中心需支出的补偿费用越少。补偿成本系数W、运输成本系数β与模型目标函数值正相关。
Based on LMRPVCC problem optimization model, transportation compensation cost and service radius Dr are introduced into the objective function and constraint, and the model is extended to LMRPVCC location-inventory nonlinear programming model with compensation strategy. The particle swarm optimization algorithm was used to solve the 49 nodes and 88 nodes in Daskin and Shen’s article. The sensitivity analysis of compensation coefficient W, service radius Dr and transportation cost coefficient β was carried out. The smaller the service radius Dr, The greater the number of retailers that exceed the service radius, the higher the cost of distribution center for extra expenses; the larger the service radius Dr, the smaller the number of retailers that exceed the service radius, the less the distribution center to pay the compensation costs. The compensation cost coefficient W and the transportation cost coefficient β are positively correlated with the model objective function value.