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The Age Replacement Problem with Minimal Repair and Random Repair Costs

Author

Listed:
  • R. Cléroux

    (University of Montreal, Montreal, Quebec)

  • S. Dubuc

    (University of Montreal, Montreal, Quebec)

  • C. Tilquin

    (University of Montreal, Montreal, Quebec)

Abstract

Age replacement policies are investigated. When a unit reaches age T , a preventive replacement is made. If a failure occurs prior to age T and if the random repair cost is less than a fixed constant, a minimal repair is made. Otherwise the unit is replaced at failure.

Suggested Citation

  • 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.
    • Handle: RePEc:inm:oropre:v:27:y:1979:i:6:p:1158-1167
    DOI: 10.1287/opre.27.6.1158
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    Citations

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    Cited by:

    1. Shey-Huei Sheu & Tzu-Hsin Liu & Zhe-George Zhang & Hsin-Nan Tsai & Jung-Chih Chen, 2016. "Optimal two-threshold replacement policy in a cumulative damage model," Annals of Operations Research, Springer, vol. 244(1), pages 23-47, September.
    2. 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.
    3. Y-H Chien & C-C Chang & S-H Sheu, 2009. "Optimal periodical time for preventive replacement based on a cumulative repair-cost limit and random lead time," Journal of Risk and Reliability, , vol. 223(4), pages 333-345, December.
    4. Mohamed Larbi Rebaiaia & Daoud Ait-kadi & Afshin Jamshidi, 2017. "Periodic replacement strategies: optimality conditions and numerical performance comparisons," International Journal of Production Research, Taylor & Francis Journals, vol. 55(23), pages 7135-7152, December.
    5. Shey-Huei Sheu & Tzu-Hsin Liu & Wei-Teng Sheu & Yu-Hung Chien & Zhe-George Zhang, 2024. "Extended replacement policy for a system under shocks effect," Annals of Operations Research, Springer, vol. 340(1), pages 507-530, September.
    6. Sheu, Shey-Huei & Liu, Tzu-Hsin & Zhang, Zhe-George & Tsai, Hsin-Nan, 2018. "The generalized age maintenance policies with random working times," Reliability Engineering and System Safety, Elsevier, vol. 169(C), pages 503-514.
    7. 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.
    8. Shey-Huei Sheu & Chin-Chih Chang & Yu-Hung Chien, 2011. "Optimal age-replacement time with minimal repair based on cumulative repair-cost limit for a system subject to shocks," Annals of Operations Research, Springer, vol. 186(1), pages 317-329, June.
    9. Lim, J.H. & Qu, Jian & Zuo, Ming J., 2016. "Age replacement policy based on imperfect repair with random probability," Reliability Engineering and System Safety, Elsevier, vol. 149(C), pages 24-33.
    10. 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.
    11. SamatlI-Pa, Glay & Taner, Mehmet R., 2009. "The role of repair strategy in warranty cost minimization: An investigation via quasi-renewal processes," European Journal of Operational Research, Elsevier, vol. 197(2), pages 632-641, September.
    12. Zheng, Junjun & Okamura, Hiroyuki & Dohi, Tadashi, 2021. "Age replacement with Markovian opportunity process," Reliability Engineering and System Safety, Elsevier, vol. 216(C).
    13. Sheu, Shey-Huei & Liu, Tzu-Hsin & Sheu, Wei-Teng & Zhang, Zhe-George & Ke, Jau-Chuan, 2021. "Optimal replacement policy with replacement last under cumulative damage models," Reliability Engineering and System Safety, Elsevier, vol. 209(C).
    14. Chien, Yu-Hung & Sheu, Shey-Huei, 2006. "Extended optimal age-replacement policy with minimal repair of a system subject to shocks," European Journal of Operational Research, Elsevier, vol. 174(1), pages 169-181, October.
    15. Sheu, Shey-Huei & Liu, Tzu-Hsin & Zhang, Zhe-George, 2019. "Extended optimal preventive replacement policies with random working cycle," Reliability Engineering and System Safety, Elsevier, vol. 188(C), pages 398-415.
    16. Savaş Dayanik & Ülkü Gürler, 2002. "An Adaptive Bayesian Replacement Policy with Minimal Repair," Operations Research, INFORMS, vol. 50(3), pages 552-558, June.

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