Reliability Evaluation of Engineering Systems: Concepts and Techniques

by Roy Billinton, Ronald N. Allan

Overview

In response to new developments in the field, practical teaching experience, and readers' suggestions, the authors of the warmly received Reliablity Evaluation of Engineering Systems have updated and extended the work-providing extended coverage of fault trees and a more complete examination of probability distribution, among other things-without disturbing the original's concept, structure, or style.

Product Details

ISBN-13:	9780306440632
Publisher:	Springer US
Publication date:	06/30/1992
Edition description:	2nd ed. 1992
Pages:	453
Product dimensions:	6.14(w) x 9.21(h) x 0.04(d)

Table of Contents

1 Introduction.- 2 Basic probability theory.- 3 Application of the binomial distribution.- 4 Network modelling and evaluation of simple systems.- 5 Network modelling and evaluation of complex systems.- 6 Probability distributions in reliability evaluation.- 7 System reliability evaluation using probability distributions.- 8 Discrete Markov chains.- 9 Continuous Markov processes.- 10 Frequency and duration techniques.- 11 Approximate system reliability evaluation.- 12 Systems with non-exponential distributions.- 13 Monte Carlo simulation.- 14 Epilogue.- Appendices.- Appendix 1—Rules of Boolean algebra.- Appendix 2—Probability distributions.- A2.1 The normal distribution function.- A2.2 Ordinate heights of the normal distribution.- A2.4 Kolmogorov-Smirnov critical values.- Appendix 3—Elementary matrix algebra.- A3.1 Concepts of matrices.- A3.2 Square matrix.- A3.3 Column matrix (or vector).- A3.4 Row matrix (or vector).- A3.5 Transposed matrix.- A3.6 Diagonal matrix.- A3.7 Identity (or unit) matrix.- A3.8 Symmetric matrix.- A3.9 Determinant of a matrix.- A3.10 Co-factors.- A3.11 Evaluation of determinants.- A3.12 Addition of matrices.- A3.13 Subtraction of matrices.- A3.14 Multiplication of matrices.- A3.15 Multiplication by a constant.- A3.16 Inverse of a matrix.- A3.17 Solution of simultaneous equations.- A3.18 Cramer’s rule for solving simultaneous equations.- Appendix 4—Differential equations and Laplace transforms.- A4.1 Differential equations.- A4.2 Laplace transforms.- A4.3 Solving differential equations using Laplace transforms.- Appendix 5—Confidence levels and limits.- A5.1 Introduction.- A5.2 Unavailability at selected confidence levels.- A5.3 Failure rate at selected confidence levels.- A5.4 Conclusions.- Problems.- References.- Solutions.

Editorial Reviews

Updates the first edition co-published in 1983 by Plenum and Pitman, maintaining the structure which introduces and applies only one new concept or technique at a time, among them: binomial distribution, network modeling, probability distributions, Markov chains, frequency and duration techniques, Monte Carlo simulation. Includes many appendices and a respectable bibliography (although it does not seem to have been updated). Annotation c. Book News, Inc., Portland, OR (booknews.com)

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