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Optimal single-replacement for repairable products with different failure rate under a finite planning horizon

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  • Wen Liang Chang

Abstract

This paper provides a replacement policy for repairable products with free-repair warranty (FRW) under a finite planning horizon from the consumer's viewpoint. Assume that the product is replaced once within a finite planning horizon, and the failure rate of the second product is lower than the failure rate of the first product. Within FRW, the failed product is corrected by minimal repair without any cost to the consumers. After FRW, the failed product is repaired with a fixed repair cost to the consumers. However, each failure incurs a fixed downtime cost to the consumers over a finite planning horizon. In this paper, we derive the three models of the expected total disbursement cost within a finite planning horizon and some properties of the optimal replacement policy under some reasonable conditions are obtained. Finally, numerical examples are given to illustrate the features of the optimal replacement policy under various maintenance costs.

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  • Wen Liang Chang, 2015. "Optimal single-replacement for repairable products with different failure rate under a finite planning horizon," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(6), pages 1003-1009, April.
    • Handle: RePEc:taf:tsysxx:v:46:y:2015:i:6:p:1003-1009
    DOI: 10.1080/00207721.2013.807381
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    References listed on IDEAS

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    1. Wang, Chih-Hsiung & Sheu, Shey-Heui, 2003. "Optimal lot sizing for products sold under free-repair warranty," European Journal of Operational Research, Elsevier, vol. 149(1), pages 131-141, August.
    2. Chien, Yu-Hung, 2010. "Optimal age for preventive replacement under a combined fully renewable free replacement with a pro-rata warranty," International Journal of Production Economics, Elsevier, vol. 124(1), pages 198-205, March.
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    4. Jaturonnatee, J. & Murthy, D.N.P. & Boondiskulchok, R., 2006. "Optimal preventive maintenance of leased equipment with corrective minimal repairs," European Journal of Operational Research, Elsevier, vol. 174(1), pages 201-215, October.
    5. Nakagawa, T. & Mizutani, S., 2009. "A summary of maintenance policies for a finite interval," Reliability Engineering and System Safety, Elsevier, vol. 94(1), pages 89-96.
    6. Yeh, Ruey Huei & Lo, Hui-Chiung, 2001. "Optimal preventive-maintenance warranty policy for repairable products," European Journal of Operational Research, Elsevier, vol. 134(1), pages 59-69, October.
    7. Philip J. Boland & Frank Proschan, 1982. "Periodic Replacement with Increasing Minimal Repair Costs at Failure," Operations Research, INFORMS, vol. 30(6), pages 1183-1189, December.
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    Cited by:

    1. Xian Zhao & Xinqian Huang & Jinglei Sun, 2020. "Reliability modeling and maintenance optimization for the two-unit system with preset self-repairing mechanism," Journal of Risk and Reliability, , vol. 234(2), pages 221-234, April.

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