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Modeling and analysis of stochastic systems / Vidyadhar G. Kulkarni.

By: Material type: TextTextSeries: Texts in statistical science seriesPublication details: Boca Raton : CRC Press, ©2017.Edition: 3rd edDescription: xxi, 583 pages ; 25 cmISBN:
  • 9781498756617 (hardback : alk. paper)
Subject(s): DDC classification:
  • 519.23 23 K96
Contents:
1. Introduction -- 2. Discrete-time Markov chains : transient behavior -- 3. Discrete-time Markov chains : first passage times -- 4. Discrete-time Markov chains : limitig behavior -- 5. Poisson processes -- 6. Continuous-time Markov chains -- 7. Queueing models -- 8. Renewal processes -- 9. Markov regenerative processes -- 10. Diffusion processes -- Appendices.
Summary: 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.
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Includes bibliographical references and index.

1. Introduction --
2. Discrete-time Markov chains : transient behavior --
3. Discrete-time Markov chains : first passage times --
4. Discrete-time Markov chains : limitig behavior --
5. Poisson processes --
6. Continuous-time Markov chains --
7. Queueing models --
8. Renewal processes --
9. Markov regenerative processes --
10. Diffusion processes --
Appendices.

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.

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