整机与部件保修区间不一致的部件灵活延保策略

doi:10.3969/j.issn.1007-7375.2023.03.009

工业工程 ›› 2023, Vol. 26 ›› Issue (3): 75-85.doi: 10.3969/j.issn.1007-7375.2023.03.009

整机与部件保修区间不一致的部件灵活延保策略

莫思敏¹, 丁瑞¹, 王慧娟¹, 王文利¹, 曾建潮²

1. 太原科技大学经济与管理学院，山西太原 030024;
2. 中北大学计算机与控制工程学院，山西太原 030051

收稿日期:2022-02-21 发布日期:2023-07-08
作者简介:莫思敏(1977-),女,山西省人,副教授,博士,主要研究方向为智能优化、机器学习、复杂系统维修保修决策与健康管理
基金资助:
国家自然科学基金资助项目(72171162;72071183)；山西省重点研发计划资助项目(201703D111011)；山西省高等学校人文社会科学重点研究基地资助项目(20200129)；太原科技大学研究生优秀创新资助项目(XCX212092)

Flexible Extended Warranty Strategy of Components for Different Warranty Intervals Between the Whole Machine and Components

MO Simin¹, DING Rui¹, WANG Huijuan¹, WANG Wenli¹, ZENG Jianchao²

1. School of Economics & Management, Taiyuan University of Science & Technology, Taiyuan 030024, China;
2. School of Computer & Control Engineering, North University of China, Taiyuan 030051, China

Received:2022-02-21 Published:2023-07-08

摘要/Abstract

摘要： 生产商生产的装备产品整机和整机中由供应商提供的部件，两者保修区间不一致的问题，给生产商带来较高的维保费用，同时影响消费者的使用，给其带来经济损失。为了解决此问题，本文针对装备产品中供应商提供的部件，研究一种灵活延保策略。通过分析部件与整机两者保修区间不一致的几种情形，分别设计供应商的利润函数以及生产商的成本函数，进一步构造以供应商的单位时间利润最大和生产商的单位时间成本最小为目标，以单位时间延保价格、非延保期内单次维修价格和灵活延保策略开始时间与结束时间为决策变量的延保模型，并利用Stackelberg博弈对模型进行优化求解。通过理论分析和数值分析分别得出在不同延保价格与维修价格下和在生产商最大成本预算下的最优延保策略。

关键词: 装备产品, 整机与部件, 保修区间, 灵活延保, Stackelberg博弈

Abstract: For equipment products produced by manufacturers, there is a problem of different warranty intervals between a whole equipment machine and its components provided by suppliers. This problem brings high warranty cost to manufacturers, while also affecting consumers’ use and causing their economic losses. To address this issue, this paper investigates a flexible extended warranty strategy for the components provided by suppliers in equipment products. A profit function of suppliers and a cost function of manufacturers are designed respectively through analyzing several cases of different warranty intervals between a whole machine and components. Furthermore, an extended warranty model is proposed, where the objectives are the maximization of supplier’s unit time profit and the minimization of manufacturer’s unit time cost, and the decision variables include the unit time extend warranty price, the single maintenance price during non-extended warranty period, the start and end time of the flexible extended warranty strategy. The model is optimized and solved by Stackelberg game theory. The optimal extended warranty strategies under different prices of extend warranty and maintenance as well as under the maximum cost budget of manufactures are obtained respectively through theoretical and numerical value analysis.

Key words: equipment products, a whole machine and components, warranty intervals, flexible extended warranty, Stackelberg game

中图分类号:

F203

莫思敏, 丁瑞, 王慧娟, 王文利, 曾建潮. 整机与部件保修区间不一致的部件灵活延保策略[J]. 工业工程, 2023, 26(3): 75-85.

MO Simin, DING Rui, WANG Huijuan, WANG Wenli, ZENG Jianchao. Flexible Extended Warranty Strategy of Components for Different Warranty Intervals Between the Whole Machine and Components[J]. Industrial Engineering Journal, 2023, 26(3): 75-85.

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整机与部件保修区间不一致的部件灵活延保策略

Flexible Extended Warranty Strategy of Components for Different Warranty Intervals Between the Whole Machine and Components

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