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Max-Plus Linear Stochastic Systems and Perturbation Analysis (The International Series on Discrete Event Dynamic Systems, 15) - Softcover

 
9781441941985: Max-Plus Linear Stochastic Systems and Perturbation Analysis (The International Series on Discrete Event Dynamic Systems, 15)

Synopsis

This book provides a thorough review and explanation of the theory of stochastic max-plus linear systems, which has seen rapid advances in the last decade. The coverage includes modeling issues and stability theory for stochastic max-plus systems, perturbation analysis of max-plus systems, developing a calculus for differentiation of max-plus systems. This leads to numerical evaluations of performance indices of max-plus linear stochastic systems, such as the Lyapunov exponent or waiting times.

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From the Back Cover

During the last decade, the area of stochastic max-plus linear systems has witnessed a rapid development, which created a growing interest in this area. This book provides a thorough treatment of the theory of stochastic max-plus linear systems. Max-plus algebra is an algebraic approach to discrete event systems (DES), like queuing networks that are prone to synchronization. Perturbation analysis studies the sensitivity of the performance of DES with respect to changes in a particular system parameter.

The first part of the book addresses modeling issues and stability theory for stochastic max-plus systems. The second part of the book treats perturbation analysis of max-plus systems: a calculus for differentiation of max-plus systems is developed. This calculus leads to numerical evaluations of performance indices of max-plus linear stochastic systems, such as the Lyapunov exponent or waiting times.

This book will be of interest to researchers and professionals in the area of applied probability who are interested in numerical evaluation of stochastic max-plus linear discrete event systems.

Review

From the reviews:

"This book looks at applications of the max-plus algebra in two areas of applied probability, linear stochastic systems and perturbation analysis ... . In all ... this book is, without a doubt, an important contribution to the literature. ... it will be widely read by people working in the field." (Jonathan Golan, ACM Computing Reviews, Vol. 49 (2), February, 2008)

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  • PublisherSpringer
  • Publication date2010
  • ISBN 10 1441941983
  • ISBN 13 9781441941985
  • BindingPaperback
  • LanguageEnglish
  • Number of pages332

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9780387352060: Max-Plus Linear Stochastic Systems and Perturbation Analysis (The International Series on Discrete Event Dynamic Systems, 15)

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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book provides a thorough review and explanation of the theory of stochastic max-plus linear systems, which has seen rapid advances in the last decade. The coverage includes modeling issues and stability theory for stochastic max-plus systems, perturbation analysis of max-plus systems, developing a calculus for differentiation of max-plus systems. This leads to numerical evaluations of performance indices of max-plus linear stochastic systems, such as the Lyapunov exponent or waiting times. 336 pp. Englisch. Seller Inventory # 9781441941985

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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Contains the most recent research results on stochastic max-plus systemsNo other book attempts to address the interplay between perturbation analysis and max-plus systemsThis book provides a thorough review and explanation of the theory. Seller Inventory # 4174552

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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - During the last decade, the area of stochastic max-plus linear systems has witnessed a rapid development, which created a growing interest in this area. This book provides a thorough treatment of the theory of stochastic max-plus linear systems. Max-plus algebra is an algebraic approach to discrete event systems (DES), like queuing networks that are prone to synchronization. Perturbation analysis studies the sensitivity of the performance of DES with respect to changes in a particular system parameter.The first part of the book addresses modeling issues and stability theory for stochastic max-plus systems. The second part of the book treats perturbation analysis of max-plus systems: a calculus for differentiation of max-plus systems is developed. This calculus leads to numerical evaluations of performance indices of max-plus linear stochastic systems, such as the Lyapunov exponent or waiting times. Seller Inventory # 9781441941985

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