Mathematical Models for Systems Reliability

Benjamin Epstein, Ishay Weissman

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English

Chapman & Hall/CRC
05 September 2019

Engineering: general

Evolved from the lectures of a recognized pioneer in developing the theory of reliability, Mathematical Models for Systems Reliability provides a rigorous treatment of the required probability background for understanding reliability theory.

This classroom-tested text begins by discussing the Poisson process and its associated probability laws. It then uses a number of stochastic models to provide a framework for life length distributions and presents formal rules for computing the reliability of nonrepairable systems that possess commonly occurring structures. The next two chapters explore the stochastic behavior over time of one- and two-unit repairable systems. After covering general continuous-time Markov chains, pure birth and death processes, and transitions and rates diagrams, the authors consider first passage-time problems in the context of systems reliability. The final chapters show how certain techniques can be applied to a variety of reliability problems.

Illustrating the models and methods with a host of examples, this book offers a sound introduction to mathematical probabilistic models and lucidly explores how they are used in systems reliability problems.

By: Benjamin Epstein, Ishay Weissman
Imprint: Chapman & Hall/CRC
Country of Publication: United Kingdom
Dimensions: Height: 234mm, Width: 156mm,
Weight: 453g
ISBN: 9780367387327
ISBN 10: 0367387328
Pages: 272
Publication Date: 05 September 2019
Audience: College/higher education , Primary
Format: Paperback
Publisher's Status: Active

Epstein, Benjamin; Weissman, Ishay