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A unifying treatment of replacement policies with minimal repair

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  • Frank Beichelt

Abstract

This article presents the mathematical background for analyzing maintenance policies with minimal repair. Standard maintenance policies are summarized. A general failure model is introduced which allows a unifying treatment of more recent maintenance policies with minimal repair. In particular, repair cost limit maintenance policies are considered. © 1993 John Wiley & Sons, Inc.

Suggested Citation

  • Frank Beichelt, 1993. "A unifying treatment of replacement policies with minimal repair," Naval Research Logistics (NRL), John Wiley & Sons, vol. 40(1), pages 51-67, February.
    • Handle: RePEc:wly:navres:v:40:y:1993:i:1:p:51-67
    DOI: 10.1002/1520-6750(199302)40:13.0.CO;2-V
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    References listed on IDEAS

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    1. Ciriaco Valdez‐Flores & Richard M. Feldman, 1989. "A survey of preventive maintenance models for stochastically deteriorating single‐unit systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 36(4), pages 419-446, August.
    2. Richard Barlow & Larry Hunter, 1960. "Optimum Preventive Maintenance Policies," Operations Research, INFORMS, vol. 8(1), pages 90-100, February.
    3. Toshio Nakagawa, 1984. "Optimal policy of continuous and discrete replacement with minimal repair at failure," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 31(4), pages 543-550, December.
    4. R. Cléroux & S. Dubuc & C. Tilquin, 1979. "The Age Replacement Problem with Minimal Repair and Random Repair Costs," Operations Research, INFORMS, vol. 27(6), pages 1158-1167, December.
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    Cited by:

    1. Junyuan Wang & Jimin Ye & Liang Wang, 2022. "Extended age maintenance models and its optimization for series and parallel systems," Annals of Operations Research, Springer, vol. 312(1), pages 495-517, May.
    2. Navarro, Jorge & Arriaza, Antonio & Suárez-Llorens, Alfonso, 2019. "Minimal repair of failed components in coherent systems," European Journal of Operational Research, Elsevier, vol. 279(3), pages 951-964.
    3. Chin-Chih Chang, 2023. "Optimal maintenance policy for a k-out-of-n system with replacement first and last," Annals of Operations Research, Springer, vol. 323(1), pages 31-43, April.
    4. Ji Hwan Cha & Jie Mi, 2007. "Some probability functions in reliability and their applications," Naval Research Logistics (NRL), John Wiley & Sons, vol. 54(2), pages 128-135, March.
    5. Savaş Dayanik & Ülkü Gürler, 2002. "An Adaptive Bayesian Replacement Policy with Minimal Repair," Operations Research, INFORMS, vol. 50(3), pages 552-558, June.
    6. Insua, David Rios & Ruggeri, Fabrizio & Soyer, Refik & Wilson, Simon, 2020. "Advances in Bayesian decision making in reliability," European Journal of Operational Research, Elsevier, vol. 282(1), pages 1-18.
    7. Yen-Luan Chen & Chin-Chih Chang & Dwan-Fang Sheu, 2016. "Optimum random and age replacement policies for customer-demand multi-state system reliability under imperfect maintenance," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(5), pages 1130-1141, April.
    8. Cha, Ji Hwan & Finkelstein, Maxim, 2024. "Preventive maintenance for the constrained multi-attempt minimal repair," Reliability Engineering and System Safety, Elsevier, vol. 243(C).
    9. Yu-Hung Chien & Chin-Chih Chang & Shey-Huei Sheu, 2010. "Optimal age-replacement model with age-dependent type of failure and random lead time based on a cumulative repair-cost limit policy," Annals of Operations Research, Springer, vol. 181(1), pages 723-744, December.
    10. Guillermo Gallego & Ruxian Wang & Ming Hu & Julie Ward & Jose Luis Beltran, 2015. "No Claim? Your Gain: Design of Residual Value Extended Warranties Under Risk Aversion and Strategic Claim Behavior," Manufacturing & Service Operations Management, INFORMS, vol. 17(1), pages 87-100, February.
    11. V. Makis & X. Jiang & K. Cheng, 2000. "Optimal Preventive Replacement Under Minimal Repair and Random Repair Cost," Mathematics of Operations Research, INFORMS, vol. 25(1), pages 141-156, February.
    12. Ji Hwan Cha & Sangyeol Lee & Jie Mi, 2004. "Bounding the optimal burn‐in time for a system with two types of failure," Naval Research Logistics (NRL), John Wiley & Sons, vol. 51(8), pages 1090-1101, December.
    13. Vinayak Deshpande & Ananth V. Iyer & Richard Cho, 2006. "Efficient Supply Chain Management at the U.S. Coast Guard Using Part-Age Dependent Supply Replenishment Policies," Operations Research, INFORMS, vol. 54(6), pages 1028-1040, December.

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