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Functional Analysis Methods for Reliability Models de Geni Gupur

Functional Analysis Methods for Reliability Models: Pseudo-Differential Operators, cartea 6

Autor Geni Gupur
en Limba Engleză Paperback – 22 iun 2011
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 and researchers in operations research, applied mathematics and systems engineering.
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Specificații

ISBN-13: 9783034801003
ISBN-10: 3034801009
Pagini: 282
Ilustrații: VIII, 277 p.
Dimensiuni: 168 x 240 x 23 mm
Greutate: 0.43 kg
Ediția:2011
Editura: Springer
Colecția Birkhäuser
Seria Pseudo-Differential Operators

Locul publicării:Basel, Switzerland

Public țintă

Research

Cuprins

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.

Recenzii

From the reviews:
“The main goal of this monograph is to introduce the reader to methods of linear functional analysis useful for studying contemporary reliability models. … The book will be definitely of interest for specialists in queuing theory, in mathematical modelling of complex manufacturing systems and for all interested in applications of semigroups methods to integro-differential equations. The volume can be read by anyone with a basic knowledge of probability theory and linear functional analysis.” (Mikhail Yu. Kokurin, Zentralblatt MATH, Vol. 1223, 2011)
“This book focuses on mathematical methodologies for reliability theory, with emphasis on theory and methods of functional analysis for stochastic models in reliability. … this monograph provides a detailed study of some Markov processes describing an integrated manufacturing system. The mathematical analysis is based on useful methods of functional analysis, concerning pseudo-differential operators and infinite-dimensional tridiagonal matrices.” (Antonio Di Crescenzo, Mathematical Reviews, Issue 2012 h)

Textul de pe ultima copertă

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 and researchers in operations research, applied mathematics and systems engineering.

Caracteristici

Reliability models with importance to daily life are covered The mathematics of reliability is clearly explained Functional analysis methods are discussed Includes supplementary material: sn.pub/extras