Part of the Springer Undergraduate Texts in Mathematics and Technology book series (SUMAT)


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.


Exponential Distribution Weibull Distribution Series System Reliability Theory Minimal Path 


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Copyright information

© Springer-Verlag New York 2008

Authors and Affiliations

  1. 1.Département de Mathématiques et de génie industrielÉcole Polytechnique de Montréal, QuébecMontréalCanada

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