基于微分对策的第三方回收再制造闭环供应链回收策略研究

摘要

动态环境下，研究了第三方回收的再制造闭环供应链最优控制策略。建立产品回收率为状态变量的微分方程，分别构建了集中式决策和第三方回收下的闭环供应链模型，利用最优控制和微分对策理论求解并得到供应链各方的最优控制策略。对最优策略进行分析发现：（1）系统的产品回收率随时间的推移而增加；（2）产品的零售价格和批发价格随时间减小，最优回收努力投入随时间增加；（3）相对于集中式决策，第三方回收下闭环供应链系统的产品回收率较低，产品市场价格较高，而市场需求较小。%　　The dynamic model of third-party collecting closed-loop supply chain with product remanufacturing is proposed.By build the differential equation about return rate , which is function of the investment in the reverse channel, dynamic models of centralized collecting and third-party collecting are developed.The optimal control strategy is found by the differential game approach .Some results are found.First, the product return rate increa-ses with the time; second, the retail price and wholesale price decrease with the time , and the third-party’ s optimal collecting investment increases with the time;third, return rate of third-party collecting is lower than that of centralized collecting, because the retail price is higher, but the market demand is lower.