Max-Plus Linear Stochastic Systems and Perturbation Analysis
Seiten
2006
|
2007 ed.
Springer-Verlag New York Inc.
978-0-387-35206-0 (ISBN)
Springer-Verlag New York Inc.
978-0-387-35206-0 (ISBN)
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.
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.
Max-Plus Algebra.- Max-Plus Linear Stochastic Systems.- Ergodic Theory.- Perturbation Analysis.- A Max-Plus Differential Calculus.- Higher-Order D-Derivatives.- Taylor Series Expansions.
| Reihe/Serie | The International Series on Discrete Event Dynamic Systems ; 15 |
|---|---|
| Zusatzinfo | XII, 320 p. |
| Verlagsort | New York, NY |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Informatik ► Theorie / Studium ► Algorithmen |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| Mathematik / Informatik ► Mathematik ► Computerprogramme / Computeralgebra | |
| Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik | |
| Schlagworte | deterministic max-plus limit theory • gradient estimation • Lyapunov • Max-Plus Algebra • measure-valued differentiation • perturbation analysis • Petri Nets • Probability Theory • projective space • Queueing Systems • Queuing Systems • Stability Analysis • subadditive ergodic theory • Taylor series expansions |
| ISBN-10 | 0-387-35206-6 / 0387352066 |
| ISBN-13 | 978-0-387-35206-0 / 9780387352060 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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