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1 results

  • Quasi-stationary distribution of a two-unit warm-standby redundant system

  • S. Kalpakam, M. A. Shahul Hameed
  • Journal:
    Journal of Applied Probability / Volume 20 / Issue 2 / June 1983
    Published online by Cambridge University Press:
    14 July 2016, pp. 429-435
    Print publication:
    June 1983

  • This paper establishes the existence of the limit as t → ∞ of the distribution of the residual lifetime at time t of a two-unit warm-standby reliability system supported by a single repair facility, conditioned on the event that the system has not been down at any time in (0, t). The conditioned limit distribution is proved to be exponential irrespective of the distributions of the lifetimes and repair times of the individual units, provided that their Laplace transforms are rational functions of their arguments.