Max-Plus Linear Stochastic Systems and Perturbation Analysis
Autor: | Bernd F. Heidergott |
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EAN: | 9780387389950 |
eBook Format: | |
Sprache: | Englisch |
Produktart: | eBook |
Veröffentlichungsdatum: | 26.12.2006 |
Kategorie: | |
Schlagworte: | DES Lyapunov Taylor series expansions calculus deterministic max-plus limit theory max-plus algebra measure- modeling perturbation analysis petri nets projective space queueing systems queuing systems stability analysis subadditive ergo |
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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.