运筹与管理 ›› 2025, Vol. 34 ›› Issue (7): 47-53.DOI: 10.12005/orms.2025.0206

• 理论分析与方法探讨 • 上一篇    下一篇

考虑设备故障和预防性维护的双渠道供应链定价博弈研究

钱晓飞, 薛怡, 田剑飞   

  1. 合肥工业大学 管理学院,安徽 合肥 230009
  • 收稿日期:2023-03-20 发布日期:2025-11-04
  • 通讯作者: 钱晓飞(1990-),男,安徽池州人,博士,副教授,研究方向:维修决策优化,供应链博弈,可靠性工程等。Email: hfutqxf@hfut.edu.cn。
  • 基金资助:
    国家自然科学基金资助项目(72271077,71521001)

Pricing Game of Dual-channel Supply Chain Considering Equipment Failure and Preventive Maintenance

QIAN Xiaofei, XUE Yi, TIAN Jianfei   

  1. School of Management, Hefei University of Technology, Hefei 230009, China
  • Received:2023-03-20 Published:2025-11-04

摘要: 本文考虑耐用设备的故障维修和预防性维护等因素,研究了租赁—销售双渠道供应链结构下的产品定价决策问题,构建了单一销售模型、制造商主导和合作模型三种情形下的供应链定价博弈模型,分析了租赁合同限制程度、期望故障次数等因素对均衡价格和利润的影响。研究表明:制造商引入租赁渠道有利可图,应当引入租赁渠道,但这会导致零售商利润的下降;当制造商决定推迟预防性维护初始点时,均衡状态下的零售价格、批发价格和租赁价格都会增加;引入租赁渠道后,当制造商对租赁设备的限制程度较高时,零售商选择提高销售价格弥补需求降低导致的利润降低,而当对租赁设备的限制程度较低时,为保证市场占有率和弥补利润损失,零售商应降低销售价格。

关键词: 双渠道供应链, 设备故障, 预防性维护, 定价博弈, 耐用设备

Abstract: With the change of business environment and consumption concept, product competition has developed from the traditional price one to the comprehensive one of “product+service”. However, with the continuous expansion of production scale and the rapid upgrading of production technology, enterprises have increased the demand for complex and expensive automation and precision equipment, thus facing more severe challenges in the aspects of after-sales quality assurance service and maintenance optimization of equipment. In the face of expensive equipment purchase cost, maintenance cost, and other adverse factors, some enterprises start to switch from purchasing equipment to leasing equipment, which leads the leasing channel to play an increasingly critical role in the current market. In addition, the operational leasing of durable equipment has become an effective marketing tool and a new profit growth point for the industry. Based on this background and considering the factors such as corrective maintenance and preventive maintenance of durable equipment, this paper studies the product pricing decision under the dual-channel supply chain structure of leasing and sales, and builds the supply chain pricing game model under the single sales model, manufacturer leading model, and cooperation model. The influences of the leasing contract restriction degree and expected number of failures on equilibrium price and profit are analyzed, and the optimal decisions under these three models are compared.
The first part presents the research question, relative assumptions and explanations of symbols used in this paper.
In the second part, the pricing games under the single sales model, manufacturer leading model, and cooperation model are discussed. Our research result shows that when the quality control standard in the production process of durable equipment is reduced or the fault maintenance fee is increased, the manufacturer will reduce the wholesale price to expand the promotion space of retailers in order to offset the risk of demand decline. In order not to losin dual channels, the manufacturer can reduce the number of preventive maintenance or the unit cost of preventive maintenance when considering postponing the initial point of preventive maintenance. By balancing the above three factors, the total maintenance cost of leased equipment will remain unchanged.
In the third part, the optimal decisions in the three game models are compared and analyzed. We find that the total profit of the manufacturer by introducing the leasing channel is always greater than that without introducing the leasing channel. Thus, on the premise of “economic man”, the manufacturer will always choose to introduce the leasing channel. In addition, the equilibrium selling price is affected by the restriction degree of the equipment leasing contract. When the restriction degree of the equipment leasing contract is lower than a certain threshold, the optimal selling price under the cooperation model will be lower than that under the manufacturer leading model, which makes the demand transfer from the leasing channel to the sales channel. Otherwise, the sales price under the cooperation model will be relatively high and thus will damage the consumer surplus of potential users, which will lead to a further loss of the sales market.
In the fourth part, the relationship between the revenue function and some parameters is analyzed. Some propositions in the above sections are verified through numerical simulation experiments.

Key words: dual-channel supply chain, equipment failure, preventive maintenance, pricing game, durable equipment

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