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Max-Plus linear stochastic systems and perturbation analysis

Max-Plus linear stochastic systems and perturbation analysis

자료유형
단행본
개인저자
Heidergott, Bernd.
서명 / 저자사항
Max-Plus linear stochastic systems and perturbation analysis / by Bernd Heidergott.
발행사항
New York :   Springer ,   c2006.  
형태사항
xii, 320 p. : ill. ; 25 cm.
총서사항
Kluwer international series on discrete event dynamic systems ; 15
ISBN
9780387352060 (hbk.) 0387352066 (hbk.) 9780387389950 (e-isbn) 0387389954 (e-isbn)
서지주기
Includes bibliographical references (p. [301]-308) and index.
일반주제명
Stochastic systems. Discrete-time systems. Perturbation (Mathematics)
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020 ▼a 0387352066 (hbk.)
020 ▼a 9780387389950 (e-isbn)
020 ▼a 0387389954 (e-isbn)
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100 1 ▼a Heidergott, Bernd.
245 1 0 ▼a Max-Plus linear stochastic systems and perturbation analysis / ▼c by Bernd Heidergott.
260 ▼a New York : ▼b Springer , ▼c c2006.
300 ▼a xii, 320 p. : ▼b ill. ; ▼c 25 cm.
440 0 ▼a Kluwer international series on discrete event dynamic systems ; ▼v 15
504 ▼a Includes bibliographical references (p. [301]-308) and index.
650 0 ▼a Stochastic systems.
650 0 ▼a Discrete-time systems.
650 0 ▼a Perturbation (Mathematics)
945 ▼a KINS

소장정보

No. 소장처 청구기호 등록번호 도서상태 반납예정일 예약 서비스
No. 1 소장처 과학도서관/Sci-Info(2층서고)/ 청구기호 003.76 H465m 등록번호 121158542 도서상태 대출가능 반납예정일 예약 서비스 B M

컨텐츠정보

책소개

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.



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.



New feature

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.




정보제공 : Aladin

목차

Max-Plus Algebra.- Max-Plus Linear Stochastic Systems.- Ergodic Theory.- Perturbation Analysis.- A Max-Plus Differential Calculus.- Higher-Order D-Derivatives.- Taylor Series Expansions.


정보제공 : Aladin

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