Functional Analysis Methods for Reliability Models

Functional Analysis Methods for Reliability Models

by Gupur, Geni

Type Book
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Understanding the concept of reliability is of key importance to both government and private industry 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 main goal of this book is to introduce readers to functional analysis methods, in particular, time dependent methods, for reliability models.

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Title Statements

  • Full title :Functional Analysis Methods for Reliability Models.

Summary

Understanding the concept of reliability is of key importance to both government and private industry 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 main goal of this book is to introduce readers to functional analysis methods, in particular, time dependent methods, for reliability models.

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Edition Statements

  • Publication Date:2011.

Publication Statements

  • Publisher(s):Springer Basel
  • Place of Publication:Basel
  • Language:eng
  • Publication Date:2011.

The Physical Object

  • Description:1 online resource (284 pages)

Edition Identifiers

  • ISBN:3034801009, 9783034801003
  • DOI:10.1007/978-3-0348-0101-0
  • oclc:ocn990686055
  • LC Classification:TS173
  • Dewey Decimal:620.00452

Table of Contents

Functional Analysis Methods for Reliability Models; Contents; Preface; Chapter 1 C0-Semigroups of Linear Operators and Cauchy Problems; 1.1 Preliminaries; 1.2 Well-posedness of an Abstract Cauchy Problem; 1.3 Asymptotic Behavior of the Solution of the Abstract Cauchy Problem; Chapter 2 Statement of the Problems; 2.1 Brief Introduction to Reliability Theory; 2.2 Brief Introduction to the Mathematical Theory of Reliability; 2.3 Definitions of Reliability and Related Concepts; 2.4 Supplementary Variable Technique.

Chapter 3 The System Consisting of a Reliable Machine, an Unreliable Machine and a Storage Buffer with Finite Capacity3.1 The Mathematical Model of the System Consisting of a Reliable Machine, an Unreliable Machine and a Storage Buffer Which Can Store at Most One Piece; 3.2 Well-posedness of the System (3-15); 3.3 Asymptotic Behavior of the Time-dependent Solution of the System (3-15); 3.4 Asymptotic Behavior of Some Reliability Indices of the System (3-15); Notes; Chapter 4 Transfer Line Consisting of a Reliable Machine, an Unreliable Machine and a Storage Buffer with Infinite Capacity.

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