Continuous-Time Markov Chains and Applications : A Two-Time-Scale Approach

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, propert...

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Detalles Bibliográficos
Auteurs principaux: Yin, George, 1954-, Zhang, Qing, 1959- (Auteur)
Formato: Livre numérique
Idioma:Anglais
Publicado: New York, NY : Springer New York [20..].
Cham : Springer Nature
Edición:2nd ed. 2013.
Series:Stochastic Modelling and Applied Probability 37
Acceso en liña:Accès sur la plateforme de l'éditeur
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Accès Université d'Orléans
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Nota: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Continuous-Time Markov chains and applications, a two-time-scale approach, G. George Yin, Qing Zhang, second edition, New York, Springer, 2013, 1 vol. (XXI-427 p.), Applications of mathematics, 978-1-4614-4345-2
• Continuous-Time Markov Chains and Applications, Texte imprimé, 9781461443476
• Continuous-Time Markov Chains and Applications, Texte imprimé, 9781489991188
• Continuous-Time Markov chains and applications, a two-time-scale approach, G. George Yin, Qing Zhang, second edition, New York, Springer, 2013, 1 vol. (XXI-427 p.), Applications of mathematics, 978-1-4614-4345-2
Descripción
Résumé: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
descrición da copia:Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
ISBN:9781461443469
ISSN:2197-439X
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