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Published in:
2015 | OriginalPaper | Chapter
Markov Modeling for Reliability Analysis Using Hypoexponential Distribution
Authors : Therrar Kadri, Khaled Smaili, Seifedine Kadry
Published in: Numerical Methods for Reliability and Safety Assessment
Publisher: Springer International Publishing
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Abstract
Reliability is the probability that the system will perform its intended function under specified working condition for a specified period of time. It is the analysis of failures, their causes and consequences. Reliability analysis is the most important characteristic of product quality as things have to be working satisfactorily before considering other quality attributes. Usually, specific performance measures can be embedded into reliability analysis by the fact that if the performance is below a certain level, a failure can be said to have occurred. Markov model is widely used technique in reliability analysis. The hypoexponential distribution is used in modeling multiple exponential stages in series. This distribution can be used in many domains of application. In this chapter we find a modified and simple form of the probability density function for the general case of the hypoexponential distribution. The new form obtained is used in an application of Markovian systems to find its reliability.