Continuous-time Markov chains and applications : a two-time-scale approach

著者

• Yin, George
• Zhang, Qing

書誌事項

Continuous-time Markov chains and applications : a two-time-scale approach

G. George Yin, Qing Zhang

（Stochastic modelling and applied probability, 37）

Springer, c2013

2nd ed

注記

Includes bibliographical references (p. [407]-423) and index

内容説明・目次

内容説明

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.

目次

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.-

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BB10666182
• ISBN:
  • 9781461443452
• LCCN: 2012945403
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: New York
• ページ数/冊数: xxi, 427 p.
• 大きさ: 25 cm
• 分類:
  • LCC : QA274.7
  • DC21 : 519.2/33
• 件名:
  • LCSH : Markov processes
  • LCSH : Perturbation (Mathematics)
• 親書誌ID:
  • BA70424457