Mathematical Theory of Reliability - Brossura

Barlow, Richard E.; Proschan, Frank

Brossura

ISBN 10: 0898713692 ISBN 13: 9780898713695

Casa editrice: Society for Industrial and Applied Mathematics, 1996

Riassunto

A survey of mathematical models useful in solving reliability problems.

Su questo libro

Descrizione del libro

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. Covers important topics such as the theory of increasing (decreasing) failure rate distributions, optimum maintenance policies, and the theory of coherent systems.

Contenuti

Preface to the Classics Edition; Preface; 1. Introduction. Historical Background of the Mathematical Theory of Reliability; Definitions of Reliability; 2. Failure Distributions. Introduction; Typical Failure Laws; The Exponential as the Failure Law of Complex Equipment; Monotone Failure Rates; Preservation of Monotone Failure Rate; Additional Inequalities; General Failure Rates; 3. Operating Characteristics of Maintenance Policies. Introduction; Renewal Theory; Replacement Based on Age; Comparison of Age and Block Replacement Policies; Random Replacement; Repair of a Single Unit; 4. Optimum Maintenance Policies. Introduction; Replacement Policies; Inspection Policies; 5. Stochastic Models for Complex Systems. Introduction; Markov Chains and Semi-Markov Processes; Repairman Problems; Marginal Checking; Optimal Maintenance Policies under Markovian Deterioration; 6. Redundancy Optimization. Introduction; Optimal Allocation of Redundancy Subject to Constraints; Application to Parallel Redundancy Model; Application to Standby Redundancy Model; Complete Families of Undominated Allocations; Optimal Redundancy Assuming Two Types of Failure; 7. Qualitative Relationships for Multicomponent Structures. Introduction; Achieving Reliable Relay Circuits; Monotonic Structures; S-shaped Reliability Functions for Monotonic Structures; k-out-of-n Structures; Relationship between Structures Failure Rate and Component Failure Rates; Appendix 1. Total Positivity; Appendix 2. Test for Increasing Failure Rate; Appendix 3. Tables Giving Bounds on Distributions with Monotone Failure Rate; References; Index.

Dettagli dell'edizione

• Editore: Society for Industrial and Applied Mathematics
• Data di pubblicazione: 1996
• Lingua: Inglese
• ISBN 10: 0898713692
• ISBN 13: 9780898713695
• Rilegatura: Copertina flessibile
• Numero di pagine: 274
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile