04917nam 22007695 450 991043786240332120200630160718.01-283-84884-81-4614-4346-610.1007/978-1-4614-4346-9(CKB)2670000000279078(EBL)994287(OCoLC)821030935(SSID)ssj0000790576(PQKBManifestationID)11506273(PQKBTitleCode)TC0000790576(PQKBWorkID)10746352(PQKB)10209293(DE-He213)978-1-4614-4346-9(MiAaPQ)EBC994287(PPN)16829995X(EXLCZ)99267000000027907820121116d2013 u| 0engur|n|---|||||txtccrContinuous-Time Markov Chains and Applications A Two-Time-Scale Approach /by G. George Yin, Qing Zhang2nd ed. 2013.New York, NY :Springer New York :Imprint: Springer,2013.1 online resource (436 p.)Stochastic Modelling and Applied Probability,0172-4568 ;37Description based upon print version of record.1-4899-9118-2 1-4614-4345-8 Includes bibliographical references and index.Prologue and Preliminaries: Introduction and overview- Mathematical preliminaries -- Markovian models -- Two-Time-Scale Markov Chains: Asymptotic Expansions of Solutions for Forward Equations -- Occupation Measures: Asymptotic Properties and Ramification -- Asymptotic Expansions of Solutions for Backward Equations -- Applications:MDPs, Near-optimal Controls, Numerical Methods, and LQG with Switching: Markov Decision Problems -- Stochastic Control of Dynamical Systems -- Numerical Methods for Control and Optimization -- Hybrid LQG Problems -- References -- Index.-.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.Stochastic Modelling and Applied Probability,0172-4568 ;37ProbabilitiesCalculus of variationsOperations researchManagement scienceApplied mathematicsEngineering mathematicsProbability Theory and Stochastic Processeshttps://scigraph.springernature.com/ontologies/product-market-codes/M27004Calculus of Variations and Optimal Control; Optimizationhttps://scigraph.springernature.com/ontologies/product-market-codes/M26016Operations Research, Management Sciencehttps://scigraph.springernature.com/ontologies/product-market-codes/M26024Mathematical and Computational Engineeringhttps://scigraph.springernature.com/ontologies/product-market-codes/T11006Probabilities.Calculus of variations.Operations research.Management science.Applied mathematics.Engineering mathematics.Probability Theory and Stochastic Processes.Calculus of Variations and Optimal Control; Optimization.Operations Research, Management Science.Mathematical and Computational Engineering.519.233Yin G. Georgeauthttp://id.loc.gov/vocabulary/relators/aut61947Zhang Qingauthttp://id.loc.gov/vocabulary/relators/autBOOK9910437862403321Continuous-time Markov chains and applications374797UNINA