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A Stochastic Model on One-Unit Repairable Systems with Multiple Degenerative States

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Abstract

This paper studies a maintenance model for an one-unit degenerative system with multiple failure states based on the proportional hazards and proportional reversed hazards models. The authors investigate how the variation of system configuration parameters have an impact on both operating and repair times and hence the system performance. Furthermore, the authors also derive the explicit expression for the long-run average cost per unit time. An algorithm to locate the optimal number of repairs in a renewal cycle is discussed as well.

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Author information

Authors and Affiliations

  1. Department of Mathematical Sciences, Stevens Institute of Technology, Hoboken, NJ, 07030, USA

    Xiaohu Li

  2. School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou, 221116, China

    Weiyong Ding

Authors
  1. Xiaohu Li
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  2. Weiyong Ding
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Corresponding author

Correspondence to Xiaohu Li.

Additional information

This research was supported by the National Natural Science Foundation of China under Grant No. 11422109.

This paper was recommended for publication by Editor LI Qizhai.

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Li, X., Ding, W. A Stochastic Model on One-Unit Repairable Systems with Multiple Degenerative States. J Syst Sci Complex 31, 804–819 (2018). https://doi.org/10.1007/s11424-017-6306-2

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  • DOI: https://doi.org/10.1007/s11424-017-6306-2

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