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

Author

Listed:
  • R. K. Bhardwaj

    (Punjabi University)

  • Komaldeep Kaur

    (Punjabi University)

  • S. C. Malik

    (M. D. University)

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.

Suggested Citation

  • R. K. Bhardwaj & Komaldeep Kaur & S. C. Malik, 2017. "Reliability indices of a redundant system with standby failure and arbitrary distribution for repair and replacement times," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 8(2), pages 423-431, June.
    • Handle: RePEc:spr:ijsaem:v:8:y:2017:i:2:d:10.1007_s13198-016-0445-z
    DOI: 10.1007/s13198-016-0445-z
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    References listed on IDEAS

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    1. Zhong, Chongquan & Jin, Haibo, 2014. "A novel optimal preventive maintenance policy for a cold standby system based on semi-Markov theory," European Journal of Operational Research, Elsevier, vol. 232(2), pages 405-411.
    2. M. N. Gopalan, 1975. "Technical Note—Probabilistic Analysis of a Single-Server n -unit System with ( n − 1) Warm Standbys," Operations Research, INFORMS, vol. 23(3), pages 591-598, June.
    3. S. Srinivasan & R. Subramanian, 2006. "Reliability analysis of a three unit warm standby redundant system with repair," Annals of Operations Research, Springer, vol. 143(1), pages 227-235, March.
    4. Wells, Charles E., 2014. "Reliability analysis of a single warm-standby system subject to repairable and nonrepairable failures," European Journal of Operational Research, Elsevier, vol. 235(1), pages 180-186.
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    Cited by:

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    2. S. Z. Taj & S. M. Rizwan & B. M. Alkali & D. K. Harrison & G. Taneja, 2020. "Three reliability models of a building cable manufacturing plant: a comparative analysis," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 11(2), pages 239-246, July.
    3. S. Z. Taj & S. M. Rizwan & B. M. Alkali & D. K. Harrison & G. Taneja, 0. "Three reliability models of a building cable manufacturing plant: a comparative analysis," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 0, pages 1-8.
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