Description: Discrete-Time Markov Chains Please note: this item is printed on demand and will take extra time before it can be dispatched to you (up to 20 working days). Two-Time-Scale Methods and Applications Author(s): G. George Yin, Qing Zhang Format: Paperback Publisher: Springer-Verlag New York Inc., United States Imprint: Springer-Verlag New York Inc. ISBN-13: 9781441919557, 978-1441919557 Synopsis This book focuses on two-time-scale Markov chains in discrete time. Our motivation stems from existing and emerging applications in optimization and control of complex systems in manufacturing, wireless communication, and ?nancial engineering. Much of our e?ort in this book is devoted to designing system models arising from various applications, analyzing them via analytic and probabilistic techniques, and developing feasible compu- tionalschemes. Ourmainconcernistoreducetheinherentsystemcompl- ity. Although each of the applications has its own distinct characteristics, all of them are closely related through the modeling of uncertainty due to jump or switching random processes. Oneofthesalientfeaturesofthisbookistheuseofmulti-timescalesin Markovprocessesandtheirapplications. Intuitively,notallpartsorcom- nents of a large-scale system evolve at the same rate. Some of them change rapidly and others vary slowly. The di?erent rates of variations allow us to reduce complexity via decomposition and aggregation. It would be ideal if we could divide a large system into its smallest irreducible subsystems completely separable from one another and treat each subsystem indep- dently. However, this is often infeasible in reality due to various physical constraints and other considerations. Thus, we have to deal with situations in which the systems are only nearly decomposable in the sense that there are weak links among the irreducible subsystems, which dictate the oc- sional regime changes of the system. An e?ective way to treat such near decomposability is time-scale separation. That is, we set up the systems as if there were two time scales, fast vs. slow. xii Preface Followingthetime-scaleseparation,weusesingularperturbationmeth- ology to treat the underlying systems.
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Book Title: Discrete-Time Markov Chains
Number of Pages: 347 Pages
Language: English
Publication Name: Discrete-Time Markov Chains: Two-Time-Scale Methods and Applications
Publisher: Springer-Verlag New York Inc.
Publication Year: 2010
Subject: Mathematics, Management
Item Height: 235 mm
Item Weight: 563 g
Type: Textbook
Author: G. George Yin, Qing Zhang
Subject Area: Data Analysis, Material Science, Mechanical Engineering
Series: Stochastic Modelling and Applied Probability
Item Width: 155 mm
Format: Paperback
