A Methodology for Analyzing the Transient Reliability of Systems with Identical Components and Identical Repairmen


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 con gurations, 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.