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Age replacement policies for discrete and continuous heterogeneous k-out-of-n systems

Author

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  • Serkan Eryilmaz

    (Atilim University)

  • İrem Bulanik

    (Atilim University)

Abstract

This paper studies age replacement policy for the k-out-of-n system that consists of independent but nonidentical components. Both continuously and discretely distributed components’ lifetimes are considered. The failed components are replaced by new components and non-failed components are rejuvenated. Because the components are non-identical, the acquisition and rejuvenation costs of the components are chosen differently. The policy and the associated optimization problem are presented for general k and n, and 2-out-of-3 systems are studied in detail. The findings of the present paper extend the results in the literature from parallel systems to k-out-of-n systems.

Suggested Citation

  • Serkan Eryilmaz & İrem Bulanik, 2025. "Age replacement policies for discrete and continuous heterogeneous k-out-of-n systems," Annals of Operations Research, Springer, vol. 347(3), pages 1249-1263, April.
    • Handle: RePEc:spr:annopr:v:347:y:2025:i:3:d:10.1007_s10479-024-06371-0
    DOI: 10.1007/s10479-024-06371-0
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    References listed on IDEAS

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    1. Xufeng Zhao & Satoshi Mizutani & Mingchih Chen & Toshio Nakagawa, 2022. "Preventive replacement policies for parallel systems with deviation costs between replacement and failure," Annals of Operations Research, Springer, vol. 312(1), pages 533-551, May.
    2. Serkan Eryilmaz & Fatih Tank, 2023. "Optimal age replacement policy for discrete time parallel systems," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 31(3), pages 475-490, October.
    3. Jinsen Zhuang & Xiaohu Li, 2015. "Allocating Redundancies to k-out-of-n Systems with Independent and Heterogeneous Components," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 44(24), pages 5109-5119, December.
    4. 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.
    5. Yonit Barron, 2018. "Group maintenance policies for an R-out-of-N system with phase-type distribution," Annals of Operations Research, Springer, vol. 261(1), pages 79-105, February.
    6. Ding, Weiyong & Zhang, Yiying & Zhao, Peng, 2013. "Comparisons of k-out-of-n systems with heterogenous components," Statistics & Probability Letters, Elsevier, vol. 83(2), pages 493-502.
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