Mathematical Models for the Study of the Reliability of Systems
Published on 14. May 2014
233 pages
978-0-08-095633-6 (ISBN)
Description
Mathematical Models for the Study of the Reliability of Systems
More details
Series
Language
English
Place of publication
San Diego
United States
ISBN-13
978-0-08-095633-6 (9780080956336)
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Schweitzer Classification
Other editions
Additional editions
A. Kaufman | etc.
Mathematical Models for the Study of the Reliability of Systems
Book
01/1977
Academic Press
€71.19
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Content
- Front Cover
- Mathematical Models for the Study of the Reliability of Systems
- Copyright Page
- Contents
- Preface
- List of Symbols
- Chapter I. Lifetime of a Component
- 1 Introduction
- 2 Age and Lifetime of a Component
- 3 Survival Function
- 4 Failure Probability. Failure Rate
- 5 Moments of a Survival Law. Mean Failure Age
- 6 Principal Survival Laws Used in the Management of Equipment
- 7 Survival Law of Nonnew Equipment
- 8 Survival Law with Guarantee. Survival Law with a Limit on Functioning
- Chapter II. Equipment with an Increasing Failure
- 9 Introduction
- 10 Survival Functions with Increasing (Decreasing) Failure Rate
- 11 Properties of IFR Functions
- 12 Survival Functions with Increasing Failure Rate Averages
- Chapter III. Study of the Structure of Systems: Structure Functions and Reliability Networks
- 13 Introduction
- 14 Hypotheses on the Structure and Functioning of Systems
- 15 Structure Function
- 16 Links and Cuts
- 17 Mathematical Properties of Links and Cuts. Duality
- 18 Review of the Theory of Graphs
- 19 Reliability Networks
- 20 Equivalence between Structure Functions and Reliability Networks
- 21 Monotone (or Coherent) Structures
- 22 Construction and Simplification of Structure Functions and of Reliability Networks
- 23 Finding Links and Cuts
- Chapter IV. Study of the Reliability of Systems
- 24 Introduction. Definitions and Hypotheses
- 25 The Reliability Function
- 26 Composition of Structures
- 27 Representative Curves of Reliability Functions for Monotone Structures. Theorem of Moore and Shannon
- 28 Systems Monotone in Probability
- 29 Survival Function of a System
- 30 Survival Functions for Series and Parallel Structures. Asymptotic Results for a Large Number of Components
- Chapter V. Redundance
- 31 Introduction. Definitions
- 32 Active Redundance at the Level of Substructures or at the Level of Components
- 33 Optimal Redundance
- 34 Concavity of Monotone Structures with Respect to Redundance
- 35 Type k of n Structures
- Chapter VI. Systems Presenting Two Dual Types of Failures
- 36 Introduction
- 37 Definition. Properties
- 38 Reliability Function of a System Presenting Two Types of Failures
- 39 Redundance in Systems with Components of the Same Reliabilities
- 40 Iterative Structures
- Appendix Pólya Functions of Order 2. Totally Positive Functions of Order 2
- A.1 Pólya Functions of Order 2
- A.2 Totally Positive Functions of Order 2
- A.3 Relation to IFR Functions
- Bibliography
- Index
