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Reliability of a Repairable System with Standby Failure

Author

Listed:
  • R. Subramanian

    (Indian Institute of Technology, Madras, India)

  • K. S. Venkatakrishnan

    (Indian Institute of Technology, Madras, India)

  • K. P. Kistner

    (University of Bielefeld, Bielefeld, West Germany)

Abstract

This paper deals with a system in which one unit is operating online and is backed my m spares as warm standbys. There are r repair facilities. The on-line unit has an arbitrary lifetime distribution, while the spares have exponential failure time distributions. The repair time distribution is also exponential. This problem, viewed as a queuing problem, cannot be solved; but by locating a set of renewal points, we write the equations governing the states of the system and calculate the reliability and availability. Explicit results are obtained in the case of five redundant units and three repair facilities.

Suggested Citation

  • R. Subramanian & K. S. Venkatakrishnan & K. P. Kistner, 1976. "Reliability of a Repairable System with Standby Failure," Operations Research, INFORMS, vol. 24(1), pages 169-176, February.
    • Handle: RePEc:inm:oropre:v:24:y:1976:i:1:p:169-176
    DOI: 10.1287/opre.24.1.169
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    Cited by:

    1. 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.
    2. 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.
    3. Hajeeh Mohammed, 2004. "Maintenance Models for a Repairable System," Stochastics and Quality Control, De Gruyter, vol. 19(1), pages 107-114, January.

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