Joint availability of systems modelled by finite semi–markov processes

A. Csenki

Applied Stochastic Models and Data Analysis, 1994, vol. 10, issue 4, 279-293

Abstract: Consider a repairable system at the time instants t and t + x, where t, x ≥0. The joint availability of the system at these time instants is defined as the probability of the system being functional in both t and t + x. A set of integral equations is derived for the joint availability of a system modelled by a finite semi–Markov process. The result is applied to the semi–Markov model of a two–unit system with sequential preventive maintenance. The method used for the numerical solution of the resulting system of integral equations is a two–point trapezoidal rule. The system of implementation is the matrix computation package MATLAB on the Apple Macintosh SE/30. The numerical results obtained by this method are shown to be in good agreement with those from simulation.

Date: 1994
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:wly:apsmda:v:10:y:1994:i:4:p:279-293

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