A Bivariate Post-Warranty Maintenance Model for the Product under a 2D Warranty
In this study, by integrating preventive maintenance (PM) into a two-dimensional warranty region, a two-dimensional warranty with customized PM (2D warranty with customized PM) is proposed from the manufacturer’s perspective to reduce the warranty cost. The warranty cost of a 2D warranty with custom...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-06-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/12/1957 |
| _version_ | 1797484739281551360 |
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| author | Lijun Shang Guojun Shang Qingan Qiu |
| author_facet | Lijun Shang Guojun Shang Qingan Qiu |
| author_sort | Lijun Shang |
| collection | DOAJ |
| description | In this study, by integrating preventive maintenance (PM) into a two-dimensional warranty region, a two-dimensional warranty with customized PM (2D warranty with customized PM) is proposed from the manufacturer’s perspective to reduce the warranty cost. The warranty cost of a 2D warranty with customized PM is derived. The manufacturer’s tradeoff between PM cost and minimal repair cost saving is obtained by choosing the proper reliability threshold and the number of customized PMs, and the advantage of a 2D warranty with customized PM is illustrated. Second, by integrating PM into the post-warranty period, a bivariate post-warranty maintenance (BPWM) policy is proposed from the consumer’s perspective to ensure the reliability of the product through the 2D warranty with customized PM. The expected cost rate model of BPWM is derived. Optimal BPWM is obtained in the numerical experiments. It is shown that a 2D warranty with customized PM is beneficial for both the manufacturer and the consumer, since both the manufacturer’s warranty cost and the consumer’s total cost are reduced. |
| first_indexed | 2024-03-09T23:09:43Z |
| format | Article |
| id | doaj.art-590aa4110b794e959a57d4c7cf3f3ceb |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T23:09:43Z |
| publishDate | 2022-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-590aa4110b794e959a57d4c7cf3f3ceb2023-11-23T17:47:22ZengMDPI AGMathematics2227-73902022-06-011012195710.3390/math10121957A Bivariate Post-Warranty Maintenance Model for the Product under a 2D WarrantyLijun Shang0Guojun Shang1Qingan Qiu2School of Quality Management and Standardization, Foshan University, Foshan 528000, ChinaGao Tou Yao Coal Mine, North Union Electric Power Limited Liability Company, Ordos 014323, ChinaSchool of Management & Economics, Beijing Institute of Technology, Beijing 100081, ChinaIn this study, by integrating preventive maintenance (PM) into a two-dimensional warranty region, a two-dimensional warranty with customized PM (2D warranty with customized PM) is proposed from the manufacturer’s perspective to reduce the warranty cost. The warranty cost of a 2D warranty with customized PM is derived. The manufacturer’s tradeoff between PM cost and minimal repair cost saving is obtained by choosing the proper reliability threshold and the number of customized PMs, and the advantage of a 2D warranty with customized PM is illustrated. Second, by integrating PM into the post-warranty period, a bivariate post-warranty maintenance (BPWM) policy is proposed from the consumer’s perspective to ensure the reliability of the product through the 2D warranty with customized PM. The expected cost rate model of BPWM is derived. Optimal BPWM is obtained in the numerical experiments. It is shown that a 2D warranty with customized PM is beneficial for both the manufacturer and the consumer, since both the manufacturer’s warranty cost and the consumer’s total cost are reduced.https://www.mdpi.com/2227-7390/10/12/19572D warrantycustomized PMbivariate post-warranty maintenancereliabilitycost rate model |
| spellingShingle | Lijun Shang Guojun Shang Qingan Qiu A Bivariate Post-Warranty Maintenance Model for the Product under a 2D Warranty Mathematics 2D warranty customized PM bivariate post-warranty maintenance reliability cost rate model |
| title | A Bivariate Post-Warranty Maintenance Model for the Product under a 2D Warranty |
| title_full | A Bivariate Post-Warranty Maintenance Model for the Product under a 2D Warranty |
| title_fullStr | A Bivariate Post-Warranty Maintenance Model for the Product under a 2D Warranty |
| title_full_unstemmed | A Bivariate Post-Warranty Maintenance Model for the Product under a 2D Warranty |
| title_short | A Bivariate Post-Warranty Maintenance Model for the Product under a 2D Warranty |
| title_sort | bivariate post warranty maintenance model for the product under a 2d warranty |
| topic | 2D warranty customized PM bivariate post-warranty maintenance reliability cost rate model |
| url | https://www.mdpi.com/2227-7390/10/12/1957 |
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