In many applied fields, particularly in most engineering disciplines, it is important to be able to calculate the probability that a certain device or system will be active at a given time instant, or over a fixed period of time. We already considered many exercises on reliability theory in Chapters 2 to 4. In Chapter 2, it was understood that we were calculating the reliability of a system at a given time instant t0, knowing the reliability of each of its components at t 0. In order to calculate the probability that a machine will operate without failure for a given amount of time, we need to know the distribution of its lifetime or of the lifetime of its components. It becomes a problem on random variables or vectors. In this chapter, we present in detail the main concepts of reliability theory.
KeywordsExponential Distribution Weibull Distribution Series System Reliability Theory Minimal Path
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