关键词: 闭环供应链, 回收率, 再制造成本差异, 分岔, 稳定性, 博弈分析

Abstract: To explore the price decision problem in the dual-channel closed-loop supply chain,the single period static game model and the dynamic game model with two delays were built on the recovery rate and the remanufacturing cost difference.The optimal strategy analytic formula was given by using the method of operational research and optimization under the centralized decision and decentralized decision of the static model.The influence of the remanufacturing cost difference on the optimal strategy was analyzed.Moreover,the local asymptotic stability conditions of the system and the analytical formula of the bifurcation point were given by dynamic model using the nonlinear dynamics theory and the system complexity theory.The influence of delay parameter,recovery rate,remanufacturing cost difference and price adjustment speed on the stability and complexity of the system was revealed through simulation.The variable feedback control method was used to control the unstable system effectively.The study showed that the increase of remanufacturing cost could reduce the retail price and increase the recovery rate as well as profit.And the delay parameter and price adjustment speed should be moderate to prevent the system from losing stability.

Key words: closed-loop supply chain, recovery rate, remanufacturing cost difference, bifurcation, stability, game analysis