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portada discrete-time markov chains: two-time-scale methods and applications
Type
Physical Book
Author
Publisher
Year
2010
Language
English
Pages
347
Format
Paperback
Dimensions
23.4x15.6x1.9 cm
Weight
0.51 kg.
ISBN
1441919554
ISBN13
9781441919557
Categories

discrete-time markov chains: two-time-scale methods and applications

Qing Zhang (Author) · G. George Yin (Author) · Springer · Paperback

discrete-time markov chains: two-time-scale methods and applications - Yin, G. George ; Zhang, Qing

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Synopsis "discrete-time markov chains: two-time-scale methods and applications"

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 system

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