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...
Focusing on discrete-time-scale Markov chains, the contents of this book are an outgrowth of some of the authors' recent research. The motivation stems from existing and emerging applications in optimization and control of complex hybrid Markovian systems in manufacturing, wireless communication, and financial engineering. Much effort in this book is devoted to designing system models arising from these applications, analyzing them via analytic and probabilistic techniques,...
From the reviews:
"Discrete-time Markov chains are the basic building blocks for understanding random dynamic phenomena, in preparation for more complex situations. ... the book is a research monograph based largely on the author’s own work. ... The book does ... fill an important niche in the literature on singularly perturbed Markov chains. ... the book will be useful to applied probabilities and engineers who deal with such...
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