Max-Plus Linear Stochastic Systems and Perturbation Analysis [electronic resource] /edited by Bernd Heidergott.
by Heidergott, Bernd [editor.]; SpringerLink (Online service).
Material type:
BookSeries: The International Series on Discrete Event Dynamic Systems: 16Publisher: Boston, MA : Springer US, 2007.Description: XII, 320 p. online resource.ISBN: 9780387389950.Subject(s): Computer science | Algebra -- Data processing | Computer Science | Probability and Statistics in Computer Science | Math Applications in Computer Science | Symbolic and Algebraic ManipulationDDC classification: 005.55 Online resources: Click here to access online | Item type | Current location | Call number | Status | Date due | Barcode |
|---|---|---|---|---|---|
| MAIN LIBRARY | QA276-280 (Browse shelf) | Available |
Browsing MAIN LIBRARY Shelves Close shelf browser
| QB460-466 Canonical Perturbation Theories | RC321-580 Brain Death | QA276-280 Bayesian Core: A Practical Approach to Computational Bayesian Statistics | QA276-280 Max-Plus Linear Stochastic Systems and Perturbation Analysis | HV6001-7220.5 The Organized Crime Community | TK1-9971 Wireless Ad Hoc and Sensor Networks | TA405-409.3 Residual Stress Measurement and the Slitting Method |
Max-Plus Algebra -- Max-Plus Linear Stochastic Systems -- Ergodic Theory -- Perturbation Analysis -- A Max-Plus Differential Calculus -- Higher-Order D-Derivatives -- Taylor Series Expansions.
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.
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