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OverviewThe 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. Full Product DetailsAuthor: Geni GupurPublisher: Birkhauser Verlag AG Imprint: Birkhauser Verlag AG Edition: 2011 ed. Volume: 6 Dimensions: Width: 16.80cm , Height: 1.80cm , Length: 24.00cm Weight: 0.499kg ISBN: 9783034801003ISBN 10: 3034801009 Pages: 277 Publication Date: 22 June 2011 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsPreface.- 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.ReviewsFrom 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) Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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