ANALYSIS FOR A PARALLEL REPAIRABLE SYSTEM WITH DIFFERENT FAILURE MODES

M. A.  El-Damcese; N. S.  Temraz

M. A. El-Damcese Deptt. of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt
N. S. Temraz Deptt. of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt

Keywords: Availability/Reliability Analysis, Mean Time to Failure (MTTF), Repairable Parallel System, Degradation Facility, Common-cause Failure, Non-Markovian Process, Supplementary Variable Method

Abstract

This paper presents a mathematical model for performing availability and reliability analysis of a parallel repairable system consisting of n identical components with degradation facility and common-cause failures. In addition, system repair time is assumed to be arbitrarily distributed. Markov and supplementary variable techniques are used to develop equations for the model. As an illustration, system of four-identical/repairable components is analysed.

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