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Replacement policies with general models

Author

Listed:
  • Mingchih Chen

    (Fu Jen Catholic University)

  • Xufeng Zhao

    (Nanjing University of Aeronautics and Astronautics)

  • Toshio Nakagawa

    (Aichi Institute of Technology)

Abstract

It would be of interest to formulate the general replacement models, combing the constant and random policies to satisfy the commonly planned and randomly needed replacement times. This paper takes up age and periodic replacement models again to formulate their general models when replacement actions are also conducted at random times $$Y_i~(i=1,2,\ldots ,n)$$ Y i ( i = 1 , 2 , … , n ) . The classic approach of whichever occurs first and the newly proposed approach of whichever occurs last are used for such general models, whose models are named as replacement first, modified replacement first, replacement last and modified replacement last, respectively. We compare all of the replacement models analytically and numerically to find which policy should be selected from the viewpoint of cost. It is shown that the modified replacement policies with combined approaches of whichever occurs first and last are more economical than others. In addition, the replacement models with different replacement costs are extended for further studies.

Suggested Citation

  • Mingchih Chen & Xufeng Zhao & Toshio Nakagawa, 2019. "Replacement policies with general models," Annals of Operations Research, Springer, vol. 277(1), pages 47-61, June.
    • Handle: RePEc:spr:annopr:v:277:y:2019:i:1:d:10.1007_s10479-017-2685-y
    DOI: 10.1007/s10479-017-2685-y
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    References listed on IDEAS

    as
    1. Xufeng Zhao & Toshio Nakagawa, 2015. "Optimal periodic and random inspections with first, last and overtime policies," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(9), pages 1648-1660, July.
    2. Nakagawa, T. & Mizutani, S. & Chen, M., 2010. "A summary of periodic and random inspection policies," Reliability Engineering and System Safety, Elsevier, vol. 95(8), pages 906-911.
    3. Toshio Nakagawa, 2014. "Random Maintenance Policies," Springer Series in Reliability Engineering, Springer, edition 127, number 978-1-4471-6575-0, June.
    4. Toshio Nakagawa, 2008. "Advanced Reliability Models and Maintenance Policies," Springer Series in Reliability Engineering, Springer, number 978-1-84800-294-4, June.
    5. 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.
    6. Riccardo Manzini & Alberto Regattieri & Hoang Pham & Emilio Ferrari, 2010. "Maintenance for Industrial Systems," Springer Series in Reliability Engineering, Springer, number 978-1-84882-575-8, June.
    7. Toshio Nakagawa, 2005. "Maintenance Theory of Reliability," Springer Series in Reliability Engineering, Springer, number 978-1-84628-221-8, June.
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    Citations

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    Cited by:

    1. Junyuan Wang & Xufeng Zhao & Jiawei Xiang, 2024. "Optimum design and replacement policies for k-out-of-n systems with deviation time and cost," Annals of Operations Research, Springer, vol. 340(1), pages 593-617, September.
    2. Jing Wu & Cunhua Qian & Tadashi Dohi, 2024. "A Net Present Value Analysis of Opportunity-Based Age Replacement Models in Discrete Time," Mathematics, MDPI, vol. 12(10), pages 1-23, May.
    3. 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.
    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.
    5. Bakhtiar Ostadi & Ramtin Hamedankhah, 2021. "A two-stage reliability optimization approach for solving series–parallel redundancy allocation problem considering the sale of worn-out parts," Annals of Operations Research, Springer, vol. 304(1), pages 381-396, September.
    6. Zheng, Junjun & Okamura, Hiroyuki & Dohi, Tadashi, 2021. "Age replacement with Markovian opportunity process," Reliability Engineering and System Safety, Elsevier, vol. 216(C).
    7. Wu, Jing & Qian, Cunhua & Dohi, Tadashi, 2024. "Optimal opportunity-based age replacement policies in discrete time," Reliability Engineering and System Safety, Elsevier, vol. 241(C).
    8. Junyuan Wang & Jimin Ye, 2022. "A new repair model and its optimization for cold standby system," Operational Research, Springer, vol. 22(1), pages 105-122, March.
    9. Hongyan Dui & Kaixin Liu & Shaomin Wu, 2024. "Data-driven reliability and resilience measure of transportation systems considering disaster levels," Annals of Operations Research, Springer, vol. 340(1), pages 217-243, September.

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