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Functional Analysis Methods for Reliability Models

The main goal of this book is to introduce readers to functional analysis methods, in particular, time dependent analysis, for reliability models. Understanding the concept of reliability is of key importance – schedule delays, inconvenience, customer dissatisfaction, and loss of prestige and even weakening of national security are common examples of results that are caused by unreliability of systems and individuals.

The book begins with an introduction to C0-semigroup theory. Then, after a brief history of reliability theory, methods that study the well-posedness, the asymptotic behaviors of solutions and reliability indices for varied reliability models are presented. Finally, further research problems are explored.

Functional Analysis Methods for Reliability Models is an excellent reference for graduate students andresearchers in operations research, applied mathematics and systems engineering.

1100397268
Functional Analysis Methods for Reliability Models

The main goal of this book is to introduce readers to functional analysis methods, in particular, time dependent analysis, for reliability models. Understanding the concept of reliability is of key importance – schedule delays, inconvenience, customer dissatisfaction, and loss of prestige and even weakening of national security are common examples of results that are caused by unreliability of systems and individuals.

The book begins with an introduction to C0-semigroup theory. Then, after a brief history of reliability theory, methods that study the well-posedness, the asymptotic behaviors of solutions and reliability indices for varied reliability models are presented. Finally, further research problems are explored.

Functional Analysis Methods for Reliability Models is an excellent reference for graduate students andresearchers in operations research, applied mathematics and systems engineering.

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Functional Analysis Methods for Reliability Models

Functional Analysis Methods for Reliability Models

by Geni Gupur
Functional Analysis Methods for Reliability Models

Functional Analysis Methods for Reliability Models

by Geni Gupur

Overview

The main goal of this book is to introduce readers to functional analysis methods, in particular, time dependent analysis, for reliability models. Understanding the concept of reliability is of key importance – schedule delays, inconvenience, customer dissatisfaction, and loss of prestige and even weakening of national security are common examples of results that are caused by unreliability of systems and individuals.

The book begins with an introduction to C0-semigroup theory. Then, after a brief history of reliability theory, methods that study the well-posedness, the asymptotic behaviors of solutions and reliability indices for varied reliability models are presented. Finally, further research problems are explored.

Functional Analysis Methods for Reliability Models is an excellent reference for graduate students andresearchers in operations research, applied mathematics and systems engineering.

Product Details

ISBN-13: 9783034801003
Publisher: Springer Basel
Publication date: 06/22/2011
Series: Pseudo-Differential Operators Series , #6
Edition description: 2011
Pages: 277
Product dimensions: 6.61(w) x 9.45(h) x 0.03(d)

Table of Contents

Preface.- C0-Semigroup of Linear Operators and Cauchy Problems.- Statement of the Problems.- The System Consisting of a Reliable Machine, an Unreliable Machine and a Storage Buffer with Finite Capacity.- Transfer Line Consisting of a Reliable Machine, an Unreliable Machine and a Storage Buffer with Infinite Capacity.- Further Research Problems.- Bibliography.

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