基于随机需求和顾客满意度的多期闭环供应链网络均衡

Multi-period closed-loop supply chain network equilibrium under uncertainty and the resulting demand satisfaction

研究了随机需求下由多个制造商、零售商、需求市场和回收中心组成的多期闭环供应链网络,其中网络各成员的产量、交易量、需求量和需求市场的价格随着时间周期动态地变化,由库存量的调整来延续网络各成员决策的发展。在考虑随机需求和顾客满意度的基础上,分别构建了多期闭环供应链网络中各成员利润最大化的模型,利用均衡理论和变分不等式理论得到其均衡条件,最终得到整个多期闭环供应链网络均衡。通过求解满足等式、不等式约束变分不等式的对数二次逼近预测校正法得到在一定顾客满意度基础上的网络中,各成员每个生产周期的均衡产量、交易量、库存量和需求市场的价格。通过算例验证了模型及算法的有效性,并对顾客满意度灵敏度分析,得到其对网络各成员决策和利润的影响。

This article was designed to develop an equilibrium model of a uncertain multi-period closed-loop supply chain network which was comprised by noncooperative manufacturers, retailers, demand markets and recovery centers. The decision-makers in the network had sufficient information about the future and sought to determine their optimal plans that maximize their profits over the multi-period planning horizon.With the help of equilibrium theory and varia-tional inequality theory, the network structure of the multi-period closed-loop supply chain based on uncertainty and the resulting demand satisfaction was identified and the decision-makers’ equilibrium conditions were derived.An algorithm for solving the variational inequality was designed via logarithmic-quadratic proximal prediction-correction algorithm to compute the equilibrium solution.Finally, numerical examples are solved to test the efficiency of the model and the pro-posed algorithm for finding the above equilibrium, and sensitivity analysis are also be conducted to illustrate the effect of the resulting demand satisfaction on the decision-makers’ strategies, together with their respective profits.