Basic Probability Theory with Applications pp 161-190 | Cite as

# Reliability

## Abstract

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.

## Keywords

Exponential Distribution Weibull Distribution Series System Reliability Theory Minimal Path## Preview

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