风险共担配送中心选址模型解的定理分析

Analysis of solution theorem for distribution center location model based on risk sharing

为适应现代市场中供应链条间的激烈竞争,将库存理论引入到配送中心选址模型构建中,结合实际建设配送中心的情况,在LMPR模型基础上,从优化角度将配送中心建设成本设为配送中心规模的线性函数,构建非线性0-1整数规划模型,构建基于可变建设成本的风险共担配送中心选址模型;并利用反证法,证明模型解的定理。研究结果表明:在LMRP模型基础上扩展的基于可变建设成本的风险共担选址模型不仅考虑了配送链条上的库存成本,而且根据需求实际情况,将配送中心规模设定为满足需求的线性函数,对于配送中心选址及包括建设成本在内的各项成本计算更为精确;利用此定理,可直接根据网络距离,判断配送中心的配送最优路径。

In order to adapt to the intense competition of the supply chains in the modern market, the inventory theory was introduced into the study of the distribution center location model. Ac-cording to the actual situation, on the basis of LMPR model,the distribution center construction cost was considered in the linear function of the scale of distribution center for the optimization. A nonlinear 0-1 integer programming model was established, and risk sharing distribution center location model was also established based on variable construction cost. The reduction to absurdi-ty was used to prove the solution theorem of the model. The results show that the risk sharing distribution center location model developed from LMPR model and based on variable construc- tion cost not only considers the inventory cost of distribution chain, but also sets the scale of dis-tribution center to meet the demand of linear function according to the actual demand situation, which makes the distribution center location and costs calculation including construction cost more accurate. This solution theorem can determine the optimal distribution path according to the network distance. 1 fig, 12 refs.