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Item Details
Title: CONTINUOUS-TIME MARKOV CHAINS AND APPLICATIONS
A TWO-TIME-SCALE APPROACH
By: George G. Yin, Qing Zhang
Format: Hardback

List price: £99.99


We currently do not stock this item, please contact the publisher directly for further information.

ISBN 10: 1461443458
ISBN 13: 9781461443452
Publisher: SPRINGER-VERLAG NEW YORK INC.
Pub. date: 23 October, 2012
Edition: 2nd ed. 2013
Series: Stochastic Modelling and Applied Probability 37
Pages: 430
Description: Using a singular perturbation approach, this book offers a systematic treatment of systems that naturally arise in queuing theory, control and optimisation and manufacturing. Provides a single source for concepts previously scattered throughout the literature.
Synopsis: This book gives a systematic treatment of singularly perturbed systems that naturally arise in control and optimization, queueing networks, manufacturing systems, and financial engineering. It presents results on asymptotic expansions of solutions of Komogorov forward and backward equations, properties of functional occupation measures, exponential upper bounds, and functional limit results for Markov chains with weak and strong interactions. To bridge the gap between theory and applications, a large portion of the book is devoted to applications in controlled dynamic systems, production planning, and numerical methods for controlled Markovian systems with large-scale and complex structures in the real-world problems. This second edition has been updated throughout and includes two new chapters on asymptotic expansions of solutions for backward equations and hybrid LQG problems. The chapters on analytic and probabilistic properties of two-time-scale Markov chains have been almost completely rewritten and the notation has been streamlined and simplified.This book is written for applied mathematicians, engineers, operations researchers, and applied scientists. Selected material from the book can also be used for a one semester advanced graduate-level course in applied probability and stochastic processes.
Illustrations: XXII, 430 p.
Publication: US
Imprint: Springer-Verlag New York Inc.
Returns: Returnable
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