本文研究了基于时变随机需求的供应链网络动态均衡。由于需求的不确定性和季节性，网络中的零售商会考虑缺货后悔和存货后悔的负效用，基于长期后悔规避效用做出最优决策。利用变分不等式，刻画了网络中制造商层、考虑长期后悔规避效用的零售商层和需求市场层的均衡决策行为。通过数值算例，基于三种长期后悔情形分析了零售商长期后悔规避行为对其均衡订购量、利润、后悔值的影响。研究结果表明，零售商的长期后悔规避程度在不断增加、保持不变，不断减少这三种情况下，对其均衡订购量、利润、后悔值的影响不同。研究结论将指导供应链网络中企业，基于长期后悔规避制定最优决策。
In this paper, a dynamic equilibrium of a supply chain network, in which the demand is time-varying and random, is studied. Since the demand is uncertain and seasonal, the retailers in the network consider the negative effect of under-stock regret and over-stock regret, and make their optimal decisions based on long-term regret aversion. The optimal decision behaviors of manufactures, retailers considering the long-term regret aversion and demand markets are modeled by the variational inequalities. Numerical examples are given in three long-term regret cases to find the effect of retailers' long-term regret aversion on the equilibrium order quantities, profits and regret values. The results show that the equilibrium order quantities, profits and regret values are different when the degree of retailers' regret aversion are in the increasing case, unchanging case, and decreasing case. These conclusions can provide supposes for the decision makers of the supply chain network to make the best decisions considering the long-term regret aversion.
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