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Flexible decision models for a two-dimensional warranty policy with periodic preventive maintenance
Wang, Jinting1; Zhou, Zhuang1; Peng, Hao2
2017-06-01
发表期刊RELIABILITY ENGINEERING & SYSTEM SAFETY
ISSN0951-8320
卷号162页码:14-27
摘要We study the consumer's and the manufacturer's optimal strategies for items sold with periodic preventive maintenance (PM) under a two-dimensional warranty policy. The cooperative and non-cooperative interactions between the manufacturer and the consumer are investigated for both the base warranty (BW) period and the extended warranty (EW) period. Under the BW, we propose a new upgrade model where the cost of PM is shared by two sides. In the EW period, consumers are assumed to have the option to either accept or reject PM at each time based on his utility. Two upgrade models are built and the revenue functions are analyzed. Profit maximization and cost minimization for both sides are analyzed by a game-theoretic approach. It is shown that the manufacturer's and the consumer's decisions are different, so the induced hazard rate functions are also different. In static and dynamic scenarios, we derive the equilibrium number of PM, the equilibrium value of acceptance probability and the equilibrium upgrade level for both the BW and the EW cases. Numerical examples are discussed to demonstrate the applicability of the methodologies. The results about the optimal solutions of the expected profit functions for the consumers and the manufacturer are provided.
关键词Warranty policy Periodic preventive maintenance Failure rate model Nash equilibrium Stackelberg equilibrium Upgrade level
DOI10.1016/j.ress.2017.01.012
语种英语
资助项目National Natural Science Foundation of China[71571014] ; National Natural Science Foundation of China[71390334] ; National Center for Mathematics and Interdisciplinary Sciences, Chinese Academy of Sciences ; Chinese Ministry of Science and Technology[2016YFF0203801]
WOS研究方向Engineering ; Operations Research & Management Science
WOS类目Engineering, Industrial ; Operations Research & Management Science
WOS记录号WOS:000396947900002
出版者ELSEVIER SCI LTD
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/25164
专题系统科学研究所
通讯作者Wang, Jinting
作者单位1.Beijing Jiaotong Univ, Dept Math, Beijing 100044, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100190, Peoples R China
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Wang, Jinting,Zhou, Zhuang,Peng, Hao. Flexible decision models for a two-dimensional warranty policy with periodic preventive maintenance[J]. RELIABILITY ENGINEERING & SYSTEM SAFETY,2017,162:14-27.
APA Wang, Jinting,Zhou, Zhuang,&Peng, Hao.(2017).Flexible decision models for a two-dimensional warranty policy with periodic preventive maintenance.RELIABILITY ENGINEERING & SYSTEM SAFETY,162,14-27.
MLA Wang, Jinting,et al."Flexible decision models for a two-dimensional warranty policy with periodic preventive maintenance".RELIABILITY ENGINEERING & SYSTEM SAFETY 162(2017):14-27.
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