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Preventive replacement policies for parallel systems with deviation costs between replacement and failure

  • S.I.: Statistical Reliability Modeling and Optimization
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Abstract

In order to balance the deviation time between replacement and failure, a new notion of cost named as deviation cost is taken into account for planning replacement policies. We firstly take up a standard parallel system with n identical units and model replacement policies that are done at planned time and at periodic times. Next, we model again the above replacement policies when the number of units is a random variable that has a Poisson distribution. Thirdly, replacement policies are planned preventively at the completion of random working times. Optimum number of units is scheduled for a total working interval that is constantly and randomly given. Finally, we give reliability functions of k-out-of-n systems for extensions of parallel systems. We give analytical discussions for the above replacement policies and illustrate numerical examples when the failure time of each unit has an exponential distribution.

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Acknowledgements

This paper is supported by National Natural Science Foundation of China (No. 71801126), Natural Science Foundation of Jiangsu Province (No. BK20180412), Aeronautical Science Foundation of China (No. 2018ZG52080), and JSPS KAKENHI (No. 18K01713).

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Authors and Affiliations

  1. Nanjing University of Aeronautics and Astronautics, Nanjing, 211106, China

    Xufeng Zhao

  2. Aichi Institute of Technology, Toyota, 470-0392, Japan

    Satoshi Mizutani & Toshio Nakagawa

  3. Fu Jen Catholic University, New Taipei City, 24205, Taiwan

    Mingchih Chen

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  1. Xufeng Zhao
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  2. Satoshi Mizutani
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  3. Mingchih Chen
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  4. Toshio Nakagawa
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Correspondence to Xufeng Zhao.

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Zhao, X., Mizutani, S., Chen, M. et al. Preventive replacement policies for parallel systems with deviation costs between replacement and failure. Ann Oper Res 312, 533–551 (2022). https://doi.org/10.1007/s10479-020-03791-6

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  • DOI: https://doi.org/10.1007/s10479-020-03791-6

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