制造商分担创新产品回收成本的闭环供应链微分博弈  

Differential Game of Closed-loop Supply Chain with Manufacturer Sharing the Cost Recovery of Innovative Products

作　　者：刘浪[1] 刘振威 陈烁 LIU Lang;LIU Zhen-wei;CHEN Shuo(East China Jiaotong University,Nanchang 300013,China;Zhejiang Business Technology Institute,Ningbo 315012,China)

机构地区：[1]华东交通大学,南昌330013 [2]浙江工商职业技术学院,宁波315012

出　　处：《电子科技大学学报(社科版)》2023年第6期67-76,共10页Journal of University of Electronic Science and Technology of China(Social Sciences Edition)

基　　金：国家自然科学基金资助项目(72162015);江西省社会科学基金项目(21GL17)。

摘　　要：【目的/意义】在创新产品的闭环供应链中,研究制造商分担回收成本对创新产品的扩散的影响,以期寻找创新产品进入市场后的批发价格、零售价格及回收商的回收努力的最优路径和制造商最优的成本分担比例。【设计/方法】使用Bass模型刻画创新产品进入市场后需求量的变化路径,利用微分博弈和最优控制理论进行求解,分析了不同市场情形和回收成本分担对供应链的影响。【结论/发现】在消费偏好系数和模仿系数较低的市场情形下,通过广告努力提高消费偏好系数和模仿系数能获得较高的收益,且制造商需要承担较高的回收成本来获得最大利润;而在偏好系数和模仿系数较高的市场情形下,通过广告努力提高消费偏好系数和模仿系数的边际效益较小,但制造商的最优回收成本分担比例相对较低,且制造商、零售商及供应链的利润会相对更高。闭环供应链中的决策要比开环供应链的决策更复杂,制造商分担回收努力成本能提高供应链上所有参与者的利润,且在各种市场情形下都存在一个制造商最优的成本分担比例。[Purpose/Significance]In the closed-loop supply chain of innovative products,this paper discusses the influence of manufacturers sharing recycling costs on the diffusion of innovative products.It is to identify the optimal paths for wholesale and retail prices,as well as the recycling efforts of recyclers,after the entry of innovative products into the market.Furthermore,the manufacturers’optimal cost-sharing ratio is to be determined.[Design/Methodology]The trajectory of demand changes for innovative products upon entering the market is characterized by using the Bass model.Differential game theory and optimal control theory are used for resolution,and the impact of various market scenarios and recycling cost-sharing on the supply chain are analyzed in the study.[Conclusions/Findings]The results show that higher revenue can be obtained by taking advantage of advertising efforts to improve consumption preference coefficient and imitation coefficient in the market with low consumption preference coefficient and imitation coefficient,and manufacturers need to bear higher recovery costs to obtain the maximum profit in this case.While in the market with high preference coefficient and imitation coefficient,small marginal benefit of improving consumption preference coefficient and imitation coefficient through advertising effort can be obtained,but the optimal cost-sharing ratio of manufacturers will be relatively low followed by relatively higher profits of manufacturers,retailers and supply chains.Besides,the decision-making in the closedloop supply chain is more complicated than that in the open-loop supply chain.Also,the results show that the cost of recovery effort shared by manufacturers can improve the profit of all participants in the supply chain,and there is an optimal cost-sharing ratio among manufacturers under various market conditions.

关 键 词：BASS模型 闭环供应链 微分博弈 第三方回收 回收成本分担 

分 类 号：F713[经济管理—产业经济]