Reliability Evaluation of Engineering Systems Concepts and Techniques

This book has evolved from our deep interest and involvement in the development and application of reliability evaluation techniques. Its scope is not limited to anyone engineering discipline as the concepts and basic techniques for reliability evaluation have no disciplinary boundaries and are appl...

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Bibliographic Details
Main Author: Billinton, Roy
Format: eBook
Language:English
Published: New York, NY Springer US 1983, 1983
Edition:1st ed. 1983
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
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 Epilogue
  • Appendix 1—Rules of Boolean algebra
  • Appendix 2—The normal distribution function
  • 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