Description
Mathematical Models for Systems Reliability
Authors: Epstein Benjamin, Weissman Ishay
Language: EnglishSubjects for Mathematical Models for Systems Reliability:
Keywords
State E0; System Failure; Repairable System; Laplace Transforms; Poisson Process; Transition Probabilities Matrix; Steady State Probabilities; Transition Rates Matrix; Homogeneous Poisson Process; Repair Rate; Repair Distribution; Embedded Markov Chain; Random Variable T1; Exponential Distribution; State Ej; Laplace Stieltjes Transform; DFR Distribution; IFR Distribution; Continuoustime Markov Chains; Series Parallel System; semi-Markov Process; Ordinary Renewal Process; Continuous Time Process; Constant Failure Rate; Markov Chain
190.51 €
Subject to availability at the publisher.
Add to cart the book of Epstein Benjamin, Weissman IshayPublication date: 05-2008
· 15.6x23.4 cm · Hardback
77.28 €
In Print (Delivery period: 14 days).
Add to cart the book of Epstein Benjamin, Weissman IshayPublication date: 09-2019
· 15.6x23.4 cm · Paperback
Description
/li>Contents
/li>Biography
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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.
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