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A maintenance policy for a k-out-of-n system under enhancing the system’s operating time and safety constraints, and selling the second-hand components

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  • Safaei, Fatemeh
  • Ahmadi, Jafar
  • Taghipour, Sharareh

Abstract

In this paper, a new maintenance policy for k-out-of-n:F systems is proposed, which includes age replacement and minor repairs as preventive maintenance actions. After replacing a multi-component system, some components are still usable and can be sold as second-hand products. The price of these components depends on their original lifetime and the replacement time of the system. On the other hand, managers and engineers would like to reduce the imposed costs on the system while increasing system efficiency. With this in mind, long-run average cost is considered as the objective function. In addition, the optimal parameters of the proposed policy are obtained under two constraints: a safety constraint and a constraint for enhancing the relative mean operating time. By considering the first constraint, the system engineer is confident with a desired probability that no unplanned replacement will happen to the system in a pre-specified interval. The second constraint ensures the enhancement of the mean operating time of the system by applying the proposed policy. Moreover, the classical age replacement policy has been achieved as a special case of our results. To study the effect of the model’s parameters on the optimal solutions, extensive numerical computations are performed. Finally, a real data set of the tensile strength of cables is used to demonstrate the applicability of the proposed model.

Suggested Citation

  • Safaei, Fatemeh & Ahmadi, Jafar & Taghipour, Sharareh, 2022. "A maintenance policy for a k-out-of-n system under enhancing the system’s operating time and safety constraints, and selling the second-hand components," Reliability Engineering and System Safety, Elsevier, vol. 218(PA).
    • Handle: RePEc:eee:reensy:v:218:y:2022:i:pa:s0951832021006001
    DOI: 10.1016/j.ress.2021.108103
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    1. Yinping You & Rui Fang & Xiaohu Li, 2016. "Allocating active redundancies to k‐out‐of‐n reliability systems with permutation monotone component lifetimes," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 32(5), pages 607-620, September.
    2. Eryilmaz, Serkan & Devrim, Yilser, 2019. "Reliability and optimal replacement policy for a k-out-of-n system subject to shocks," Reliability Engineering and System Safety, Elsevier, vol. 188(C), pages 393-397.
    3. 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).
    4. Ye, Zhi-Sheng & Shen, Yan & Xie, Min, 2012. "Degradation-based burn-in with preventive maintenance," European Journal of Operational Research, Elsevier, vol. 221(2), pages 360-367.
    5. Dae‐Kyung Kim & Jae‐Hak Lim & Dong Ho Park, 2015. "Optimal maintenance level for second‐hand product with periodic inspection schedule," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 31(3), pages 349-359, May.
    6. Ruiz-Castro, Juan Eloy, 2020. "A complex multi-state k-out-of-n: G system with preventive maintenance and loss of units," Reliability Engineering and System Safety, Elsevier, vol. 197(C).
    7. Wang, Jingjing & Qiu, Qingan & Wang, Huanhuan, 2021. "Joint optimization of condition-based and age-based replacement policy and inventory policy for a two-unit series system," Reliability Engineering and System Safety, Elsevier, vol. 205(C).
    8. Yang, Li & Ye, Zhi-sheng & Lee, Chi-Guhn & Yang, Su-fen & Peng, Rui, 2019. "A two-phase preventive maintenance policy considering imperfect repair and postponed replacement," European Journal of Operational Research, Elsevier, vol. 274(3), pages 966-977.
    9. Zhao, Xufeng & Al-Khalifa, Khalifa N. & Magid Hamouda, Abdel & Nakagawa, Toshio, 2017. "Age replacement models: A summary with new perspectives and methods," Reliability Engineering and System Safety, Elsevier, vol. 161(C), pages 95-105.
    10. Park, Minjae & Jung, Ki Mun & Park, Dong Ho, 2020. "Warranty cost analysis for second-hand products under a two-stage repair-or-full refund policy," Reliability Engineering and System Safety, Elsevier, vol. 193(C).
    11. Zhao, Xufeng & Nakagawa, Toshio, 2012. "Optimization problems of replacement first or last in reliability theory," European Journal of Operational Research, Elsevier, vol. 223(1), pages 141-149.
    12. 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).
    13. 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).
    14. Jae‐Hak Lim & Dae‐Kyung Kim & Dong Ho Park, 2019. "Maintenance optimization for second‐hand products following periodic imperfect preventive maintenance warranty period," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 35(4), pages 1077-1089, July.
    15. Gosavi, Abhijit, 2004. "Reinforcement learning for long-run average cost," European Journal of Operational Research, Elsevier, vol. 155(3), pages 654-674, June.
    16. 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).
    17. Xiaolin Wang & Min Xie & Lishuai Li, 2019. "On optimal upgrade strategy for second-hand multi-component systems sold with warranty," International Journal of Production Research, Taylor & Francis Journals, vol. 57(3), pages 847-864, February.
    18. Petchrompo, Sanyapong & Li, Hao & Erguido, Asier & Riches, Chris & Parlikad, Ajith Kumar, 2020. "A value-based approach to optimizing long-term maintenance plans for a multi-asset k-out-of-N system," Reliability Engineering and System Safety, Elsevier, vol. 200(C).
    19. Safaei, Fatemeh & Châtelet, Eric & Ahmadi, Jafar, 2020. "Optimal age replacement policy for parallel and series systems with dependent components," Reliability Engineering and System Safety, Elsevier, vol. 197(C).
    20. Badía, F.G. & Berrade, M.D. & Lee, Hyunju, 2020. "An study of cost effective maintenance policies: Age replacement versus replacement after N minimal repairs," Reliability Engineering and System Safety, Elsevier, vol. 201(C).
    21. de Smidt-Destombes, Karin S. & van der Heijden, Matthieu C. & van Harten, Aart, 2009. "Joint optimisation of spare part inventory, maintenance frequency and repair capacity for k-out-of-N systems," International Journal of Production Economics, Elsevier, vol. 118(1), pages 260-268, March.
    22. Aven, Terje & Castro, I.T., 2008. "A minimal repair replacement model with two types of failure and a safety constraint," European Journal of Operational Research, Elsevier, vol. 188(2), pages 506-515, July.
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    Cited by:

    1. Santos, Augusto César de Jesus & Cavalcante, Cristiano Alexandre Virgínio & Wu, Shaomin, 2023. "Maintenance policies and models: A bibliometric and literature review of strategies for reuse and remanufacturing," Reliability Engineering and System Safety, Elsevier, vol. 231(C).
    2. Santos, Augusto César de Jesus & Cavalcante, Cristiano Alexandre Virginio & Ren, Junru & Wu, Shaomin, 2023. "A novel delay time modelling method for incorporating reuse actions in three-state single-component systems," Reliability Engineering and System Safety, Elsevier, vol. 234(C).
    3. Safaei, Fatemeh & Taghipour, Sharareh, 2024. "Integrated degradation-based burn-in and maintenance model for heterogeneous and highly reliable items," Reliability Engineering and System Safety, Elsevier, vol. 244(C).
    4. Zhu, Xiaojun & Balakrishnan, N., 2023. "Non-parametric inference based on reliability life-test of non-identical coherent systems with application to warranty time," Reliability Engineering and System Safety, Elsevier, vol. 232(C).
    5. Zhao, Fei & Peng, Rui & Zhang, Nan, 2023. "Inspection policy optimization for a k-out-of-n/Cl(k′,n′;F) system considering failure dependence: a case study," Reliability Engineering and System Safety, Elsevier, vol. 237(C).
    6. Safaei, Fatemeh & Taghipour, Sharareh, 2022. "Optimal preventive maintenance for repairable products with three types of failures sold under a renewable hybrid FRW/PRW policy," Reliability Engineering and System Safety, Elsevier, vol. 223(C).
    7. Zhu, Ying & Xia, Tangbin & Hong, Ge & Chen, Zhen & Pan, Ershun & Xi, Lifeng, 2022. "Collaborative maintenance service and component sales under coopetition patterns for OEMs challenged by booming used-component sales," Reliability Engineering and System Safety, Elsevier, vol. 226(C).
    8. Eslami Baladeh, Aliakbar & Taghipour, Sharareh, 2022. "Reliability optimization of dynamic k-out-of-n systems with competing failure modes," Reliability Engineering and System Safety, Elsevier, vol. 227(C).

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