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Replacement policies for a parallel system with shortage and excess costs

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  • Zhao, Xufeng
  • Chen, Mingchih
  • Nakagawa, Toshio

Abstract

It has been assumed in most maintenance models that (i) the number of units for a parallel system can be predefined precisely, (ii) maintenance cost after failure should be avoided, and (iii) age replacement can always be performed at its optimized times. However, these assumptions are challenged from practical perspectives in this paper. For this purpose, shortage and excess costs, which claim that replacement done too early before failure involves a waste of operation, are introduced into replacement models, such as replacement plans with time T or distribution G(t) for constant n or random N of units. Furthermore, the number N of working times and the number n of available units for a scheduled replacement time T are discussed. For each model, the expected replacement cost for one cycle and expected replacement cost rate for a long run are optimized, and numerical examples are given.

Suggested Citation

  • Zhao, Xufeng & Chen, Mingchih & Nakagawa, Toshio, 2016. "Replacement policies for a parallel system with shortage and excess costs," Reliability Engineering and System Safety, Elsevier, vol. 150(C), pages 89-95.
    • Handle: RePEc:eee:reensy:v:150:y:2016:i:c:p:89-95
    DOI: 10.1016/j.ress.2016.01.008
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    References listed on IDEAS

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    1. Toshio Nakagawa, 2014. "Random Maintenance Policies," Springer Series in Reliability Engineering, Springer, edition 127, number 978-1-4471-6575-0, March.
    2. Zhao, Xufeng & Al-Khalifa, Khalifa N. & Nakagawa, Toshio, 2015. "Approximate methods for optimal replacement, maintenance, and inspection policies," Reliability Engineering and System Safety, Elsevier, vol. 144(C), pages 68-73.
    3. 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.
    4. Chen, M. & Nakagawa, T., 2013. "Optimal redundant systems for works with random processing time," Reliability Engineering and System Safety, Elsevier, vol. 116(C), pages 99-104.
    5. Mingchih Chen & Toshio Nakagawa, 2012. "Optimal Scheduling Of Random Works With Reliability Application," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 29(05), pages 1-14.
    6. Toshio Nakagawa, 2008. "Advanced Reliability Models and Maintenance Policies," Springer Series in Reliability Engineering, Springer, number 978-1-84800-294-4, March.
    7. D. Gupta & R. C. Gupta, 1984. "On The Distribution Of Order Statistics For A Random Sample Size," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 38(1), pages 13-19, March.
    8. Toshio Nakagawa, 2005. "Maintenance Theory of Reliability," Springer Series in Reliability Engineering, Springer, number 978-1-84628-221-8, March.
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    Cited by:

    1. Ahmadi, Reza & Wu, Shaomin, 2017. "A novel data-driven approach to optimizing replacement policy," Reliability Engineering and System Safety, Elsevier, vol. 167(C), pages 506-516.
    2. Junyuan Wang & Jimin Ye & Qianru Ma & Pengfei Xie, 2022. "An extended geometric process repairable model with its repairman having vacation," Annals of Operations Research, Springer, vol. 311(1), pages 401-415, April.
    3. 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.
    4. Xufeng Zhao & Mingchih Chen & Toshio Nakagawa, 2022. "Periodic replacement policies with shortage and excess costs," Annals of Operations Research, Springer, vol. 311(1), pages 469-487, April.

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