A First Course in Stochastic Models

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A First Course in Stochastic Models

By: Henk Tijms

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Product code: 14341
ISBN: 0471498807
450 pages
Format: Hb
Published by: John Wiley & Sons, 2000, 2nd edition
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Description of A First Course in Stochastic Models
The field of applied probability has changed profoundly in the past twenty years. The development of computational methods has greatly contributed to a better understanding of the theory. A First Course in Stochastic Models provides a self-contained introduction to the theory and applications of stochastic models.

Emphasis is placed on establishing the theoretical foundations of the subject, thereby providing a framework in which the applications can be understood. Without this solid basis in theory no applications can be solved.

- Provides an introduction to the use of stochastic models through an integrated presentation of theory, algorithms and applications.

- Incorporates recent developments in computational probability.

- Includes a wide range of examples that illustrate the models and make the methods of solution clear.

- Features an abundance of motivating exercises that help the student learn how to apply the theory.

- Accessible to anyone with a basic knowledge of probability.

A First Course in Stochastic Models is suitable for senior undergraduate and graduate students from computer science, engineering, statistics, operations resear ch, and any other discipline where stochastic modelling takes place. It stands out amongst other textbooks on the subject because of its integrated presentation of theory, algorithms and applications.

A First Course in Stochastic Models - Chapter headings
Preface

The Poisson Process and Related Processes

Renewal-Reward Processes

Discrete-Time Markov Chains

Continuous-Time Markov Chains

Markov Chains and Queues

Discrete-Time Markov Decision Processes

Semi-Markov Decision Processes

Advanced Renewal Theory

Algorithmic Analysis of Queueing Models

Appendix A: Useful Tools in Applied Probability
Appendix B: Useful Probability Distributions
Appendix C: Generating Functions
Appendix D: The Discrete Fast Fourier Transform
Appendix E: Laplace Transform Theory
Appendix F: Numerical Laplace Inversion
Appendix G: The Root-Finding Problem

References
Index