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Minimal repair of failed components in coherent systems

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  • Navarro, Jorge
  • Arriaza, Antonio
  • Suárez-Llorens, Alfonso

Abstract

The minimal repair replacement is a reasonable assumption in many practical systems. Under this assumption a failed component is replaced by another one whose reliability is the same as that of the component just before the failure, i.e., a used component with the same age. In this paper we study the minimal repair in coherent systems. We consider both the cases of independent and dependent components. Three replacement policies are studied. In the first one, the first failed component in the system is minimally repaired while, in the second one, we repair the component which causes the system failure. A new technique based on the relevation transform is used to compute the reliability of the systems obtained under these replacement policies. In the third case, we consider the replacement policy which assigns the minimal repair to a fixed component in the system. We compare these three options under different stochastic criteria and for different system structures. In particular, we provide the optimal strategies for all the coherent systems with 1–4 independent and identically distributed components.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:ejores:v:279:y:2019:i:3:p:951-964
    DOI: 10.1016/j.ejor.2019.06.013
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    References listed on IDEAS

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    Cited by:

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    3. Montes, Ignacio & Rademaker, Michael & Pérez-Fernández, Raúl & De Baets, Bernard, 2020. "A correspondence between voting procedures and stochastic orderings," European Journal of Operational Research, Elsevier, vol. 285(3), pages 977-987.
    4. Eryilmaz, Serkan, 2020. "Age-based preventive maintenance for coherent systems with applications to consecutive-k-out-of-n and related systems," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
    5. Hashemi, M. & Asadi, M. & Tavangar, M., 2022. "Optimal maintenance strategies for coherent systems: A warranty dependent approach," Reliability Engineering and System Safety, Elsevier, vol. 217(C).
    6. Liu, Peng & Wang, Guanjun, 2023. "Generalized non-renewing replacement warranty policy and an age-based post-warranty maintenance strategy," European Journal of Operational Research, Elsevier, vol. 311(2), pages 567-580.
    7. Alkaff, Abdullah & Qomarudin, Mochamad Nur & Bilfaqih, Yusuf, 2021. "Network reliability analysis: matrix-exponential approach," Reliability Engineering and System Safety, Elsevier, vol. 212(C).
    8. Navarro, Jorge & Fernández-Martínez, Pedro, 2021. "Redundancy in systems with heterogeneous dependent components," European Journal of Operational Research, Elsevier, vol. 290(2), pages 766-778.
    9. Alkaff, Abdullah & Qomarudin, Mochamad Nur & Bilfaqih, Yusuf, 2020. "Network reliability analysis: Matrix-exponential approach," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
    10. Félix Belzunce & Carolina Martínez-Riquelme & José A. Mercader & José M. Ruiz, 2021. "Comparisons of policies based on relevation and replacement by a new one unit in reliability," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 30(1), pages 211-227, March.
    11. Torrado, Nuria & Arriaza, Antonio & Navarro, Jorge, 2021. "A study on multi-level redundancy allocation in coherent systems formed by modules," Reliability Engineering and System Safety, Elsevier, vol. 213(C).

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