书目名称 | Max-Plus Linear Stochastic Systems and Perturbation Analysis |
编辑 | Bernd Heidergott |
视频video | |
概述 | Contains the most recent research results on stochastic max-plus systems.No other book attempts to address the interplay between perturbation analysis and max-plus systems.Includes supplementary mater |
丛书名称 | The International Series on Discrete Event Dynamic Systems |
图书封面 |  |
描述 | .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.. |
出版日期 | Book 2007 |
关键词 | DES; Lyapunov; Taylor series expansions; calculus; deterministic max-plus limit theory; max-plus algebra; |
版次 | 1 |
doi | https://doi.org/10.1007/978-0-387-38995-0 |
isbn_softcover | 978-1-4419-4198-5 |
isbn_ebook | 978-0-387-38995-0Series ISSN 1388-4328 |
issn_series | 1388-4328 |
copyright | Springer-Verlag US 2007 |