An Optimal Random Hybrid Maintenance Policy of Systems under a Warranty with Rebate and Charge

Lijun Shang, Xiguang Yu, Yongjun Du, Anquan Zou () and Qingan Qiu
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Lijun Shang: School of Quality Management and Standardization, Foshan University, Foshan 528000, China
Xiguang Yu: Gao Tou Yao Coal Mine, North Union Electric Power Limited Liability Company, Ordos 014323, China
Yongjun Du: School of Economics and Management, Lanzhou University of Technology, Lanzhou 730050, China
Anquan Zou: School of Quality Management and Standardization, Foshan University, Foshan 528000, China
Qingan Qiu: School of Management and Economics, Beijing Institute of Technology, Beijing 100081, China

Mathematics, 2022, vol. 10, issue 18, 1-19

Abstract: Facilitated by advanced digital technologies, reliability managers can monitor system working cycles during the whole life cycle. Such a technological realization can help reliability managers ensure system reliability in real time by monitoring working cycles. In this paper, by incorporating a limited random working cycle, rebate and charge into warranty theory, a random free repair warranty with rebate and charge (RFRW-RC) is devised to ensure system reliability during the warranty stage. Under RFRW-RC, the rebate removes manufacturers’ responsibility for continuing to ensure system reliability, while the charge is a support where manufacturers continue to ensure system reliability. The warranty cost of RFRW-RC is derived, and a random discrete free repair warranty (RDFRW) is presented by simplifying RFRW-RC. By mixing random age replacement last (RARL) and classic age replacement (CAR), a random hybrid age replacement (RHAR) is designed in order to ensure system reliability during the post-warranty stage. In such an RHAR, RARL is applied to extend the replacement time during the post-warranty stage in order to maximize the remaining life of the system through warranty, and CAR is used to lower the maintenance cost of the system through warranty. The cost rate of RHAR is modeled, and the cost rate of RDFRW is offered as well by discussing parameter values. The decision variable is optimized by minimizing the cost rate model. The properties of the presented models are explored from numerical perspectives.

Keywords: working cycle; warranty; rebate; random hybrid age replacement; cost rate (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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