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中国管理科学 ›› 2022, Vol. 30 ›› Issue (11): 207-215.doi: 10.16381/j.cnki.issn1003-207x.2020.0544

• 论文 • 上一篇    下一篇

基于绩效的产品维修服务合同最优设计与比较分析——考虑零部件过期的影响

万光羽1, 李冬2   

  1. 1.湖南大学经济与贸易学院,湖南 长沙410082; 2.中山大学管理学院,广东 广州510275
  • 收稿日期:2020-03-30 修回日期:2020-07-23 出版日期:2022-11-20 发布日期:2022-11-28
  • 通讯作者: 李冬(1984-),男(汉族),山东曲阜人,中山大学管理学院,助理教授,博士,研究方向:运营管理,Email:lidong9@mail.sysu.edu.cn. E-mail:lidong9@mail.sysu.edu.cn
  • 基金资助:
    国家自然科学基金资助项目(71801228,71802076);湖南省自然科学青年基金资助项目(2022JJ30176)

Optimal Design of Performance-based Contracts for Product Repair Service in the Presence of Component Expiry

WAN Guang-yu1, LI Dong2   

  1. 1. School of Economics & Trade, Hunan University, Changsha 410082, China;2. Sun Yat-sen Business School, Sun Yat-sen University, Guangzhou 510275, China
  • Received:2020-03-30 Revised:2020-07-23 Online:2022-11-20 Published:2022-11-28
  • Contact: 李冬 E-mail:lidong9@mail.sysu.edu.cn

摘要: 基于绩效的合同 (Performance-based Contracts-PBC) 是近年来在产品售后维修服务领域出现的全新商业模式。PBC 改变了传统上供应商通过提供维修活动和销售零件获取收益的方式,将供应商最终实现的产品可用率作为客户付款的标准。在 PBC 模式下,供应商以提高产品可用率为目标,其运营管理决策需要重新审视。备件库存对维修服务十分重要,直接影响故障修复时间。而零部件过期会影响备件库存的正常补货,降低产品可用率。本文基于 Stackelberg 博弈框架,建立了两种不同惩罚机制PBC合同的供应链动态博弈模型,得出了供应商的最优合同设计方案和用户的最优产品订购批量,分析了博弈均衡策略之间的相互作用,探讨了备件过期应对策略对供应链成员最优利润的影响。结果表明,不同的惩罚机制会对供应链成员的决策产生不同的影响。相对于基于备件缺货数量的惩罚机制,基于用户停机损失的惩罚机制对供应商提高产品可用率具有更加强烈的激励效应。然而,这种惩罚机制会导致供应商对备件库存过度投资,并减少用户的产品购买数量,进而会降低供应链成员的最优利润。同时,一个有意思的结果是在基于备件缺货数量的惩罚机制下,供应链均衡状态中惩罚金额与批发价格有联动特征,使得罚金的大小不会对产品订单数量和备件库存数量产生单独的影响。

关键词: 产品维修;售后服务;绩效合同;零部件过期;供应链博弈

Abstract: Recently, Performance-based Contracts (PBC) have become a prevalent business model in the after-sales service area. Traditionally, the supplier receives payment based on providing failure repair activities and selling parts. However, under PBC the supplier is compensated based on realized product availability. Hence, the supplier needs to reconsider its operational decision to increase product uptime and avoid under-performance penalty. Spare parts are key to product failure repair and its availability affects repair rate and final product performance. When components face obsolescence risk, resourcing spare parts may become unfeasible and thus inventory management for obsolete parts is of highly importance. In this paper, a game-theoretic model is built to capture a setting when product quantity and PBC terms are contracted between a supplier and a customer. Two different penalty schemes in PBC are considered- penalty based on spare parts stockout (PBC-B) vs. penalty based on lost revenue caused by system downtime (PBC-L). It can be found that that these two types of PBC lead to divergent equilibrium outcomes. The analytical results and numerical experiments demonstrate that PBC-L provides a stronger incentive for the supplier to improve product availability. However, in contrast to PBC-B, PBC-L may lead to overinvestment in spare parts and a lower product quantity, which can result in lower profits for the supply chain partners. Our model and results shed lights on how to design and implement PBC contracts for aftersales service and provide insights for customers on how to design incentive punishment mechanism to motivate suppliers.

Key words: product repair; after-sales service; performance-based contracts; component obsolescence; supply chain game

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