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Reliability indices of a redundant system with standby failure and arbitrary distribution for repair and replacement times

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Abstract

Reliability indices of a redundant system of two identical units—one is initially operative and the other is kept as spare in cold standby are derived by using semi-Markov process and regenerative point technique. The system model is developed by considering the aspects of standby failure and inspection. There is a single server who visits the system immediately to carry out repair activities as and when required. The unit in cold standby mode may fail after surpassing a pre specified time ‘t’. The server inspects the standby unit at its failure to see feasibility of repair. If repair of the standby unit is not feasible, it is replaced immediately by new one. However, repair of the operating unit at its failure is done without inspection. The random variables are statistically independent. Repairs and switch devices are perfect. The failure time of unit follows exponential distribution whereas repair and replacement times follow arbitrary distribution. The practical significance of the results is illustrated through numerical example.

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Acknowledgments

The authors would like to thank the reviewer and managing editor for valuable comments for improving the manuscript. The second author, Ms Komaldeep Kaur is working as INSPIRE Fellow under INSPIRE Programme of DST, Govt. of India.

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Authors and Affiliations

  1. Department of Statistics, Punjabi University, Patiala, 147002, India

    R. K. Bhardwaj & Komaldeep Kaur

  2. Department of Statistics, M. D. University, Rohtak, 124001, India

    S. C. Malik

Authors
  1. R. K. Bhardwaj
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  2. Komaldeep Kaur
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  3. S. C. Malik
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Correspondence to R. K. Bhardwaj.

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Bhardwaj, R.K., Kaur, K. & Malik, S.C. Reliability indices of a redundant system with standby failure and arbitrary distribution for repair and replacement times. Int J Syst Assur Eng Manag 8, 423–431 (2017). https://doi.org/10.1007/s13198-016-0445-z

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  • DOI: https://doi.org/10.1007/s13198-016-0445-z

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