Mathematical theory of reliability / Richard E. Barlow, Frank Proschan with contributions by Larry C. Hunter.

Format:

Book

Author/Creator:

Barlow, Richard E.

Contributor:

Proschan, Frank, 1921-

Hunter, Larry C.

Society for Industrial and Applied Mathematics.

Series:

Classics in applied mathematics ; 17.

Classics in applied mathematics ; 17

Language:

English

Subjects (All):

Reliability (Engineering)--Mathematical models.

Reliability (Engineering).

Mathematical statistics.

Probabilities.

Physical Description:

1 electronic text (xv, 258 p.) : digital file.

Place of Publication:

Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 1996.

Language Note:

English

System Details:

Mode of access: World Wide Web.

System requirements: Adobe Acrobat Reader.

Summary:

This monograph presents a survey of mathematical models useful in solving reliability problems. It includes a detailed discussion of life distributions corresponding to wearout and their use in determining maintenance policies, and covers important topics such as the theory of increasing (decreasing) failure rate distributions, optimum maintenance policies, and the theory of coherent systems. The emphasis throughout the book is on making minimal assumptions--and only those based on plausible physical considerations--so that the resulting mathematical deductions may be safely made about a large variety of commonly occurring reliability situations. The first part of the book is concerned with component reliability, while the second part covers system reliability, including problems that are as important today as they were in the 1960s. Mathematical reliability refers to a body of ideas, mathematical models, and methods directed toward the solution of problems in predicting, estimating, or optimizing the probability of survival, mean life, or, more generally, life distribution of components and systems. The enduring relevance of the subject of reliability and the continuing demand for a graduate-level book on this topic are the driving forces behind its republication. Unavailable since its original publication in 1965, Mathematical Theory of Reliability now joins a growing list of volumes in SIAM's Classics series. Although contemporary reliability books are now available, few provide as mathematically rigorous a treatment of the required probability background as this one.

Contents:

Preface to the Classics edition

Preface

Chapter 1. Introduction. historical background of the mathematical theory of reliability

Chapter 2. Failure distributions

Chapter 3. Operating characteristics of maintenance policies

Chapter 4. Optimum maintenance policies

Chapter 5. Stochastic models for complex systems

Chapter 6. Redundancy optimization

Chapter 7. Qualitative relationships for multicomponent structures

Appendix 1. Total positivity

Appendix 2. Test for increasing failure rate

Appendix 3. Tables giving bounds on distributions with monotone failure rate

References

Index.

Notes:

Bibliographic Level Mode of Issuance: Monograph

Includes bibliographical references (p. 243-250) and indexes.

Title from title screen, viewed 04/05/2011.

ISBN:

1-61197-119-5

Publisher Number:

CL17 SIAM