A performance-based warranty for products subject to competing hard and soft failures
This article studies a performance-based warranty for products subject to competing hard and soft failures. The two failure modes are competing in the sense that either one, on a “whichever-comes-first” basis, can cause the product to fail. A performance-based warranty not only covers the repair or...
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Published in | International journal of production economics Vol. 233; p. 107974 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Elsevier B.V
01.03.2021
Elsevier Science Publishers |
Subjects | |
Online Access | Get full text |
ISSN | 0925-5273 1873-7579 |
DOI | 10.1016/j.ijpe.2020.107974 |
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Abstract | This article studies a performance-based warranty for products subject to competing hard and soft failures. The two failure modes are competing in the sense that either one, on a “whichever-comes-first” basis, can cause the product to fail. A performance-based warranty not only covers the repair or replacement of any defect, but also guarantees the minimum performance level throughout the warranty period. In this article, we propose three compensation policies—that is, free replacement, penalty, and full refund, when a product’s performance fails to meet the guaranteed level. The expected warranty servicing costs for the three policies are derived, based on the competing risks concept. A warranty design problem is further formulated to simultaneously determine the optimal product price, warranty length, and performance guarantee level so as to maximize the manufacturer’s total profit. Numerical studies are conducted to demonstrate and compare the three performance-based compensation policies. It is shown that the full refund policy always leads to the lowest total profit, whereas neither of the other two policies can dominate each other in all scenarios. In particular, the free replacement policy results in a higher total profit than the penalty policy when the replacement cost is low, the penalty cost coefficient is high, and/or the product reliability is high.
•Study a performance-based warranty with competing hard and soft failure modes.•Propose three compensation policies when the performance guarantee is violated.•Derive the warranty cost models for the three compensation policies.•Compare the three compensation policies in a profit-maximization manner. |
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AbstractList | This article studies a performance-based warranty for products subject to competing hard and soft failures. The two failure modes are competing in the sense that either one, on a “whichever-comes-first” basis, can cause the product to fail. A performance-based warranty not only covers the repair or replacement of any defect, but also guarantees the minimum performance level throughout the warranty period. In this article, we propose three compensation policies—that is, free replacement, penalty, and full refund, when a product’s performance fails to meet the guaranteed level. The expected warranty servicing costs for the three policies are derived, based on the competing risks concept. A warranty design problem is further formulated to simultaneously determine the optimal product price, warranty length, and performance guarantee level so as to maximize the manufacturer’s total profit. Numerical studies are conducted to demonstrate and compare the three performance-based compensation policies. It is shown that the full refund policy always leads to the lowest total profit, whereas neither of the other two policies can dominate each other in all scenarios. In particular, the free replacement policy results in a higher total profit than the penalty policy when the replacement cost is low, the penalty cost coefficient is high, and/or the product reliability is high.
•Study a performance-based warranty with competing hard and soft failure modes.•Propose three compensation policies when the performance guarantee is violated.•Derive the warranty cost models for the three compensation policies.•Compare the three compensation policies in a profit-maximization manner. |
ArticleNumber | 107974 |
Audience | Trade |
Author | Liu, Bin Zhao, Xiujie Wang, Xiaolin |
Author_xml | – sequence: 1 givenname: Xiaolin surname: Wang fullname: Wang, Xiaolin email: xiao-lin.wang@polyu.edu.hk organization: Department of Logistics and Maritime Studies, The Hong Kong Polytechnic University, Kowloon, Hong Kong – sequence: 2 givenname: Bin surname: Liu fullname: Liu, Bin email: b.liu@strath.ac.uk organization: Department of Management Science, University of Strathclyde, Glasgow, UK – sequence: 3 givenname: Xiujie surname: Zhao fullname: Zhao, Xiujie email: xiujiezhao@tju.edu.cn organization: College of Management and Economics, Tianjin University, Tianjin, China |
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Keywords | Performance deterioration Competing risks Warranty Warranty policy design |
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SubjectTerms | Competing risks Performance deterioration Warranty Warranty policy design |
Title | A performance-based warranty for products subject to competing hard and soft failures |
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