Modeling the Reliability and Availability Characteristics of a System with Three Stages of Deterioration

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Author(s) Ibrahim Yusuf | Suleiman K | Saminu I. Bala | U. A. Ali
Pages 329-337
Volume 1
Issue 7
Date July, 2012
Keywords mean time to system failure (MTSF), availability, slow deterioration, medium deterioration, fast deterioration
Abstract

Many authors have studied maintenance or optimization models of deteriorating system without taking into consideration the kind or the degree of such deterioration on the system performance. Also little or no attention is found on the various stages of such deterioration and their effect on some measures of system effectiveness. In this study, we considered a system with three stages of deterioration: slow, medium or fast. Measures of system effectiveness like mean time to system failure (MTSF) and system availability were discussed. We analyzed the system using kolmogorov’s forward equations method and developed explicit expressions for mean time to system failure and steady state availability for the system. Some particular cases have also been discussed graphically to see the effect of deterioration rates on MTSF and system availability. The results have indicated that deterioration rates decrease the mean time to system failure and system availability.

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