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Modeling and analysis of stochastic systems

Author: Vidyadhar G Kulkarni
Publisher: Boca Raton, FL : CRC Press, Taylor & Francis Group, [2017]
Series: Texts in statistical science.
Edition/Format:   Print book : Document   Computer File : English : Third editionView all editions and formats
Summary:
"Building on the author's more than 35 years of teaching experience, Modeling and Analysis of Stochastic Systems, Third Edition, covers the most important classes of stochastic processes used in the modeling of diverse systems. For each class of stochastic process, the text includes its definition, characterization, applications, transient and limiting behavior, first passage times, and cost/reward models. The third  Read more...
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Details

Material Type: Document
Document Type: Book, Computer File
All Authors / Contributors: Vidyadhar G Kulkarni
ISBN: 9781498756617 1498756611
OCLC Number: 950202632
Description: xxi, 583 pages ; 25 cm.
Contents: Introduction --
Discrete-time Markov chains : transient behavior --
Discrete-time Markov chains : first passage times --
Discrete-time Markov chains : limitig behavior --
Poisson processes --
Continuous-time Markov chains --
Queueing models --
Renewal processes --
Markov regenerative processes --
Diffusion processes.
Series Title: Texts in statistical science.
Responsibility: Vidyadhar G. Kulkarni, Department of Statistics and Operations Research University of North Carolina at Chapel Hill, USA.

Abstract:

"Building on the author's more than 35 years of teaching experience, Modeling and Analysis of Stochastic Systems, Third Edition, covers the most important classes of stochastic processes used in the modeling of diverse systems. For each class of stochastic process, the text includes its definition, characterization, applications, transient and limiting behavior, first passage times, and cost/reward models. The third edition has been updated with several new applications, including the Google search algorithm in discrete time Markov chains, several examples from health care and finance in continuous time Markov chains, and square root staffing rule in Queuing models. More than 50 new exercises have been added to enhance its use as a course text or for self-study. The sequence of chapters and exercises has been maintained between editions, to enable those now teaching from the second edition to use the third edition. Rather than offer special tricks that work in specific problems, this book provides thorough coverage of general tools that enable the solution and analysis of stochastic models. After mastering the material in the text, readers will be well-equipped to build and analyze useful stochastic models for real-life situations"--The publisher.

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