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1 results

  • The steady-state behaviour of multistate monotone systems

  • Bent Natvig, Arnfried Streller
  • Journal:
    Journal of Applied Probability / Volume 21 / Issue 4 / December 1984
    Published online by Cambridge University Press:
    14 July 2016, pp. 826-835
    Print publication:
    December 1984

  • In this paper the steady-state behaviour of multistate monotone systems of multistate components is considered by applying the theory for stationary and synchronous processes with an embedded point process. After reviewing some general results on stationary availability, stationary interval availability and stationary mean interval performance probabilities, we concentrate on systems with independently working and separately maintained components. For this case an explicit formula is given for the mean time which the system in steady state sojourns in states not below a fixed critical level.