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Performance analysis of machine repair system with single working vacation

Author

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  • Gang He
  • Wenqing Wu
  • Yuanyuan Zhang

Abstract

This paper studies a machine repair problem with repairman’s single working vacation in which repairman works with a lower repair rate rather than completely terminating repair during vacation period. Employing Markov process theory and matrix analytical method, various system performance measures are obtained in transient and stationary regimes. Moreover, we deduce the system reliability, the mean time to failure, the repairman’s busy period and the waiting time of failed machine by using the probabilistic properties of phase type distribution. Further, some numerical examples are provided. Finally, a cost model is developed to determine the optimum value of operating machines.

Suggested Citation

  • Gang He & Wenqing Wu & Yuanyuan Zhang, 2019. "Performance analysis of machine repair system with single working vacation," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 48(22), pages 5602-5620, November.
    • Handle: RePEc:taf:lstaxx:v:48:y:2019:i:22:p:5602-5620
    DOI: 10.1080/03610926.2018.1515958
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    Cited by:

    1. Sanga, Sudeep Singh & Charan, Gannamaneni Sai, 2023. "Fuzzy modeling and cost optimization for machine repair problem with retrial under admission control F-policy and feedback," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 211(C), pages 214-240.

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