Continuous-Time Markov Chains and Applications: A Singular Perturbation Approach: v.37 - Rilegato

Yin, George; Zhang, Qing

Rilegato

ISBN 10: 0387982442 ISBN 13: 9780387982441

Casa editrice: Springer Nature, 1997

Riassunto

Using a singular perturbation approach, this is a systematic treatment of those systems that naturally arise in queuing theory, control and optimisation, and manufacturing, gathering a number of ideas which were previously scattered throughout the literature. The book presents results on asymptotic expansions of the corresponding probability distributions, functional occupation measures, exponential upper bounds, and asymptotic normality. To bridge the gap between theory and applications, a large portion of the book is devoted to various applications, thus reducing the dimensionality for problems under Markovian disturbances and providing tools for dealing with large-scale and complex real-world situations. Much of this stems from the authors'recent research, presenting results which have not appeared elsewhere. An important reference for researchers in applied mathematics, probability and stochastic processes, operations research, control theory, and optimisation.

Su questo libro

Contenuti

Prologue and Preliminaries: Introduction and overview- Mathematical preliminaries. Markovian models.- Singularly perturbed Markov chains: Asymptotic expansion: Irreducible generators. Asymptotic normality and exponential bounds. Asymptotic expansion: Weak and strong interactions. Weak and strong interactions: Asymptotic properties and ramification.- Optimizations and numerical methods: Markov decision problems. Stochastic control of dynamical systems. Numerical methods for control and optimization.

Product Description

Book by Yin George G Zhang Qing

Dettagli dell?edizione

• Editore: Springer Nature
• Data di pubblicazione: 1997
• ISBN 10: 0387982442
• ISBN 13: 9780387982441
• Rilegatura: Copertina rigida
• Lingua: Inglese
• Numero di pagine: 349