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E-raamat: System Signatures and their Applications in Engineering Reliability

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In building reliability into a system, engineers must address a number of practical needs that will enable them to quantify and compare reliability in engineered systems. (1) One is to be able to compare the reliability of one system to another system. (2) Another practical need is to compare alternate system designs for the purpose of engineering a particular optimal system. The practical, standardized, technical tool for characterizing reliability in systems is system signatures which was created in 1985 and since has developed into a powerful tool for qualifying reliability. It is used in all physical structures and stochastic systems where reliability is an important consideration (e.g., automobiles, bridges, electronic networks, airplanes, etc.)Since the introduction of system signatures in Francisco Samaniego's 1985 paper, the properties of this technical concept have been examined, tested and proven in a wide variety of systems applications. Based on the practical and research success in building reliability into systems with system signatures, this is the first book treatment of the approach. It is, therefore, the purpose of this book to provide guidance on how reliability problems might be structured, modeled and solved. Over the past ten years the broad applicability of system signatures has become apparent and the tool's utility in coherent systems and communications networks firmly established. The book compared actual system lifetimes where the tool has been and has not been used. These comparisons--which have been done over the years--demonstrate the practical, feasible and fruitful use of the tool in building reliable systems. Finally, new results and future directions for system signatures are also explored.

Since the introduction of system signatures in Francisco Samaniego's 1985 paper, the properties of this technical concept have been examined, tested and proven in a wide variety of systems applications. Based on the practical and research success in building reliability into systems with system signatures, this is the first book treatment of the approach. Its purpose is to provide guidance on how reliability problems might be structured, modeled and solved.

Arvustused

From the reviews:









"In this book, Professor Samaniego presents some classical results and recent advances related to the representations based on signatures. By presenting the recent advances in a simple way that highlights their main applications, the book is accessible to the broad spectrum of researchers in reliability, including engineers, statisticians, operation researchers, and others. Thus the book is a basic tool for graduate students and researchers with interest in system reliability theory ." (Jorge Navarro, Journal of the American Statistical Association, Vol. 103 (484), December, 2008)



"The reliability of coherent systems based on system signatures is considered. Based on the practical and research success in building reliability into systems with system signatures, this is the first book treatment of the approach. the purpose of this book to provide guidance on how reliability problems might be structured, modelled and solved." (Alex V. Kolnogorov, Zentralblatt MATH, Vol. 1154, 2009)



"The first book on signatures and applications has now appeared. this monograph is a first and brilliant attempt to present a coherent and unified version of results on reliability systems based on signatures. Its reading is recommended to anyone interested in engineering reliability." (Antonio Di Crescenzo, Mathematical Reviews, Issue 2009 e)

Introduction
1(7)
Background on Coherent Systems
7(14)
Basic Ideas
7(10)
The Reliability of a Coherent System
17(4)
System Signatures
21(16)
Signature-Based Closure, Preservation and Characterization Theorems
37(22)
An Application to the IFR Closure Problem
37(6)
Preservation Theorems Based on Signature Properties
43(5)
An Application to Redundancy Comparisons
48(5)
Signature-Based Characterizations of Relative System Performance
53(6)
Further Signature-Based Analysis of System Lifetimes
59(16)
An Application to Direct and Indirect Majority Systems
59(3)
An Application to Consecutive k-out-of-n Systems
62(3)
The Limiting Behavior of System Failure Rates and Survival Curves
65(3)
Comparing Arbitrary Mixed Systems via Stochastic Precedence
68(7)
Applications of Signatures to Network Reliability
75(16)
An Introduction to Communication Networks
75(6)
A Brief Look at Domination Theory
81(2)
The Linkage Between Dominations and Signatures
83(8)
Applications of Signatures in Reliability Economics
91(28)
Prototypical Problems in Reliability Economics
91(3)
Optimally Criteria
94(4)
Characterizing Optimal Systems
98(8)
Estimating the Relevant Characteristics of the Component Distribution
106(8)
Approximately Optimal System Designs
114(2)
Discussion
116(3)
Summary and Discussion
119(20)
Introduction
119(1)
A Retrospective Overview
120(4)
Desiderata
124(4)
Some Additional Related Literature
128(3)
Some Open Problems of Interest
131(8)
The Ordering of Expected System Lifetimes
131(1)
Other Preservation Results
131(1)
The limiting monotonicity of rT(t)
132(1)
Further Results on Stochastic Precedence
132(1)
Uniformly Optimal Networks
133(2)
Other Problems in Reliability Economics
135(2)
Wholly New Stuff
137(2)
References 139(6)
Index 145