随机需求下闭环供应链网络设施竞争选址模型研究

Study on location model of facility competition for closed-loop supply chain network with random demands

利用均衡理论和变分不等式研究工具,建立了随机需求情形下多层竞争型闭环供应链网络均衡模型,并在此基础上,构建了均衡约束数学规划模型,即设施竞争选址模型.利用均衡模型来捕捉由新进设施的进入所引起的网络均衡状态的变化,并将其引入位置决策过程.根据模型特点,提出了遗传算法与修正投影算法相结合的求解策略.最后利用提出的模型和求解算法对算例进行计算与分析,得到了网络竞争趋势变化情况、新设施的位置策略及其生产运营决策.

By using the methods of equilibrium theory and variational inequality,a multi-tiers competitive closed-loop supply chain network equilibrium model with random demands is proposed.Based on this model,a mathematical program with equilibrium constraints for the location model of facility competition is developed.The equilibrium model is used to capture the change of equilibrium state for the network resulting from the entering facilities,and incorporate the effect of changes directly into the location decision model.According to the characteristic of the model,a solution method of integrating the genetic algorithm and the modified projection method is built to solve the problem.Finally,numerical examples are solved and analyzed by using the proposed model and algorithm,the station of competitive developing trends for the network,and the location decision for the entering facilites and the manufacturing and operation decision are obtained.