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Constructive Computation in Stochastic Models with Applications: The RG-Factorizations

Autor Quan-Lin Li
en Limba Engleză Hardback – 30 mar 2010
"Constructive Computation in Stochastic Models with Applications: The RG-Factorizations" provides a unified, constructive and algorithmic framework for numerical computation of many practical stochastic systems. It summarizes recent important advances in computational study of stochastic models from several crucial directions, such as stationary computation, transient solution, asymptotic analysis, reward processes, decision processes, sensitivity analysis as well as game theory. Graduate students, researchers and practicing engineers in the field of operations research, management sciences, applied probability, computer networks, manufacturing systems, transportation systems, insurance and finance, risk management and biological sciences will find this book valuable.
Dr. Quan-Lin Li is an Associate Professor at the Department of Industrial Engineering of Tsinghua University, China.
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Specificații

ISBN-13: 9783642114915
ISBN-10: 3642114911
Pagini: 672
Ilustrații: 650 p. 24 illus.
Dimensiuni: 155 x 235 x 45 mm
Greutate: 1.16 kg
Ediția:2010
Editura: Springer Berlin, Heidelberg
Colecția Springer
Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

Stochastic Models.- Block-Structured Markov Chains.- Markov Chains of GI/G/1 Type.- Asymptotic Analysis.- Markov Chains on Continuous State Space.- Block-Structured Markov Renewal Processes.- Examples of Practical Applications.- Transient Solution.- Quasi-Stationary Distributions.- Markov Reward Processes.- Sensitivity Analysis and Evolutionary Games.

Recenzii

From the reviews:
“This 672-page book is the result of a colossal undertaking on the part of the author. … Li’s book includes extensive bibliographies at the end of each chapter. The book uses a wide variety of methods and creates a welcome unifying presentation. This book is for the serious researcher in stochastic models, and is a great book with which a young researcher might quickly move into serious analysis of applied queueing models.” (Myron Hlynka, Mathematical Reviews, Issue 2011 f)
“This book deals with numerical … methods for computing aspects of Markov chains, such as stationary and transient probability distributions, first passage times, and visiting times to certain states. … this book is well organized, and should be a valuable reference for researchers and advanced graduate students working in numerical probability, structured matrices, etc. The results apply to large classes of stochastic models.” (Charles Knessl, SIAM Review, Vol. 54 (1), 2012)

Caracteristici

The first book in the area of matrix-analytic methods bridging applied mathematics to computer science, operations research and management sciences. Presents recent results on applications in optimization, decision, and game theory. Presents a large number of useful algorithms.