Mathematical models for the study of the reliability of systems

Mathematical models for the study of the reliability of systems

Bibliographic Details
Main Author: Kaufmann, A.
Other Authors: Grouchko, Daniel, Cruon, R.
Format: eBook
Language:English
Published: New York Academic Press 1977, 1977
Series:Mathematics in science and engineering
Subjects:
Online Access:
Collection: Elsevier eBook collection Mathematics - Collection details see MPG.ReNa
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100 1 |a Kaufmann, A. 
130 0 |a Modèles mathématiques pour l'étude de la fiabilité des systèmes 
245 0 0 |a Mathematical models for the study of the reliability of systems  |c A. Kaufmann, D. Grouchko, R. Cruon ; translated by Technical Translations 
260 |a New York  |b Academic Press  |c 1977, 1977 
300 |a x, 221 pages  |b illustrations 
505 0 |a 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 
505 0 |a 31 Introduction. Definitions32 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 
505 0 |a A.2 Totally Positive Functions of Order 2A.3 Relation to IFR Functions; Bibliography; Index 
505 0 |a 22 Construction and Simplification of Structure Functions and of Reliability Networks23 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 
505 0 |a 10 Survival Functions with Increasing (Decreasing) Failure Rate11 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 
505 0 |a Includes bibliographical references (pages 215-217) and index 
653 |a Fiabilité / Modèles mathématiques 
653 |a Reliability (Engineering) / Mathematical models / fast / (OCoLC)fst01093655 
653 |a TECHNOLOGY & ENGINEERING / Quality Control / bisacsh 
653 |a Modèles mathématiques / ram 
653 |a Reliability (Engineering) / Mathematical models 
700 1 |a Grouchko, Daniel 
700 1 |a Cruon, R. 
041 0 7 |a eng  |2 ISO 639-2 
989 |b ZDB-1-ELC  |a Elsevier eBook collection Mathematics 
490 0 |a Mathematics in science and engineering 
500 |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002 
776 |z 0080956335 
776 |z 9780080956336 
776 |z 9780124023703 
776 |z 0124023703 
856 4 0 |u https://www.sciencedirect.com/science/bookseries/00765392/124  |x Verlag  |3 Volltext 
082 0 |a 620/.0045 
520 |a Mathematical models for the study of the reliability of systems