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Optimal policy of continuous and discrete replacement with minimal repair at failure

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  • Toshio Nakagawa

Abstract

This article considers combined continuous and discrete replacement with minimal repair at failure, in which a unit is replaced at time T or at number N of uses. Both optimal time T* and number N* to minimize the expected cost rate are discussed. They are found by unique solutions of equations when the hazard rates are monotonously increasing. A numerical example is given.

Suggested Citation

  • 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.
    • Handle: RePEc:wly:navlog:v:31:y:1984:i:4:p:543-550
    DOI: 10.1002/nav.3800310404
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    Cited by:

    1. Hashemi, M. & Asadi, M. & Zarezadeh, S., 2020. "Optimal maintenance policies for coherent systems with multi-type components," Reliability Engineering and System Safety, Elsevier, vol. 195(C).
    2. 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.
    3. Wu, Jing & Qian, Cunhua & Dohi, Tadashi, 2024. "Optimal opportunity-based age replacement policies in discrete time," Reliability Engineering and System Safety, Elsevier, vol. 241(C).
    4. Jing Wu & Cunhua Qian & Tadashi Dohi, 2024. "A Net Present Value Analysis of Opportunity-Based Age Replacement Models in Discrete Time," Mathematics, MDPI, vol. 12(10), pages 1-23, May.
    5. 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.
    6. Hamdan, K. & Tavangar, M. & Asadi, M., 2021. "Optimal preventive maintenance for repairable weighted k-out-of-n systems," Reliability Engineering and System Safety, Elsevier, vol. 205(C).

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