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A Markov chain-based genetic algorithm for solving a redundancy allocation problem for a system with repairable warm standby components

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  • Farjam Kayedpour
  • Maghsoud Amiri
  • Mahmoud Rafizadeh
  • Arash Shahryai Nia
  • Mani Sharifi

Abstract

Many studies have been conducted on designing systems based on the redundancy allocation problem (RAP). However, considering repairable warm-standby components (which are subject to failure even in an idle state) is somewhat neglected by researchers due to the complex mathematical models. One of the crucial aspects of these systems is considering the probability of failure when switching to a standby component or subsystem. This study tries to highlight these imperfect switching and switch selection strategies in the redundancy allocation designs. In this regard, this article is dedicated to developing two RAP models (a single objective and a bi-objective) with warm standby repairable components by proposing a solving approach based on the genetic algorithm (GA) and Markov chains. Since the model’s objective functions minimize the system’s mean time to failure (MTTF) and cost, we discussed how imperfect switches affect the total system’s cost and mean time to failure for the proposed RAPs. Finally, we adopted a GA and a non-dominated sorting genetic algorithm (NSGA-II) to solve the proposed models due to the models’ complexity. Solving these models clearly indicates the critical role of selecting an appropriate switching strategy on the system’s costs and reliability.

Suggested Citation

  • Farjam Kayedpour & Maghsoud Amiri & Mahmoud Rafizadeh & Arash Shahryai Nia & Mani Sharifi, 2024. "A Markov chain-based genetic algorithm for solving a redundancy allocation problem for a system with repairable warm standby components," Journal of Risk and Reliability, , vol. 238(4), pages 853-872, August.
    • Handle: RePEc:sae:risrel:v:238:y:2024:i:4:p:853-872
    DOI: 10.1177/1748006X231164848
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    1. Haque, Lani & Armstrong, Michael J., 2007. "A survey of the machine interference problem," European Journal of Operational Research, Elsevier, vol. 179(2), pages 469-482, June.
    2. Gholinezhad, Hadi & Zeinal Hamadani, Ali, 2017. "A new model for the redundancy allocation problem with component mixing and mixed redundancy strategy," Reliability Engineering and System Safety, Elsevier, vol. 164(C), pages 66-73.
    3. Jinting Wang & Nan Xie & Nan Yang, 2021. "Reliability analysis of a two-dissimilar-unit warm standby repairable system with priority in use," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 50(4), pages 792-814, February.
    4. Tavakkoli-Moghaddam, R. & Safari, J. & Sassani, F., 2008. "Reliability optimization of series-parallel systems with a choice of redundancy strategies using a genetic algorithm," Reliability Engineering and System Safety, Elsevier, vol. 93(4), pages 550-556.
    5. Kim, Heungseob & Kim, Pansoo, 2017. "Reliability–redundancy allocation problem considering optimal redundancy strategy using parallel genetic algorithm," Reliability Engineering and System Safety, Elsevier, vol. 159(C), pages 153-160.
    6. Kumar, Pankaj & Jain, Madhu, 2020. "Reliability analysis of a multi-component machining system with service interruption, imperfect coverage, and reboot," Reliability Engineering and System Safety, Elsevier, vol. 202(C).
    7. Zhang, Yuan Lin & Wang, Guan Jun, 2007. "A deteriorating cold standby repairable system with priority in use," European Journal of Operational Research, Elsevier, vol. 183(1), pages 278-295, November.
    8. Ruiz-Castro, Juan Eloy & Fernández-Villodre, Gemma, 2012. "A complex discrete warm standby system with loss of units," European Journal of Operational Research, Elsevier, vol. 218(2), pages 456-469.
    9. Papageorgiou, Effie & Kokolakis, George, 2010. "Reliability analysis of a two-unit general parallel system with (n-2) warm standbys," European Journal of Operational Research, Elsevier, vol. 201(3), pages 821-827, March.
    10. Kuo-Hsiung Wang & Yi-Chun Liu & Wen Lea Pearn, 2005. "Cost benefit analysis of series systems with warm standby components and general repair time," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 61(2), pages 329-343, June.
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