零售商竞争下基于微分对策的制造商回收控制策略

Differential Game model of Manufacturer Collecting Closed-Loop Supply Chain with Competing Retailers

围绕零售商竞争下闭环供应链系统中制造商的最优回收控制策略,构建制造商回收的闭环供应链微分对策模型,求解得出供应链各方的最优控制策略。研究发现:当回收成本系数不那么低时系统存在稳态均衡,仅在一定的最优控制策略下系统收敛到稳态均衡。此时,系统的产品回收率随时间推移而增大;制造商的最优回收投入随时间推移而增大,而最优批发价格则随时间推移而减小;零售商的最优零售价格随时间推移而减小,产品销售速率则随时间推移而增大。制造商的最优控制策略及系统的产品回收率与零售商之间的市场份额分配无关。市场份额在两个零售商之间的分配情况仅影响各自的价格策略及利润情况。

The differential game model of manufacturer collecting closed-loop supply chain with product remanufacturing is proposed.By building the differential equation about return rate,which is function of the investment in the reverse channel,differential game model of manufacturer collecting supply chain with competing retailers is developed.The optimal control strategy is found by the differential game approach.Some results are found.The product return rate increases with time;the optimal collecting investment of manufacturer increases with time and wholesale price of manufacturer decreases with time;the retail prices of the retailers decrease with time.And the optimal control strategy has nothing to do with the market proportion in the competing retailers.The market proportion only affects the retail price strategy and profit for the retailers.