Department of Industrial Engineering,Sharif University of Technology
In this paper, the Markov models, eigenvectors and eigenvalue concepts are used to propose
a methodology for analyzing the transient reliability of a system with identical components
and identical repairmen. The components of the systems under consideration can have two
distinct congurations, namely; they can be arranged in series or in parallel. A third case is also
considered, in which the system is up (good) if k-out-of-n components are good. For all three
cases, a procedure is proposed for calculating the transient probability of the system availability
and the duration of the system to reach the steady state.