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Probability, stochastic processes, and queueing theory : the mathematics of computer performance modelling /

This textbook provides a comprehensive introduction to probability and stochastic processes, and shows how these subjects may be applied in computer performance modeling. The author's aim is to derive probability theory in a way that highlights the complementary nature of its formal, intuitive,...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Nelson, Randolph
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York : Springer-Verlag, [1995]
Temas:
Acceso en línea:Texto completo

MARC

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245 1 0 |a Probability, stochastic processes, and queueing theory :  |b the mathematics of computer performance modelling /  |c Randolph Nelson. 
264 1 |a New York :  |b Springer-Verlag,  |c [1995] 
264 4 |c ©1995 
300 |a 1 online resource (xxviii, 583 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
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504 |a Includes bibliographical references (pages 553]-566) and indexes. 
505 0 |a 1. Introduction -- I. Probability. 2. Randomness and Probability. 3. Combinatorics. 4. Random Variables and Distributions. 5. Expectation and Fundamental Theorems -- II. Stochastic Processes. 6. The Poisson Process and Renewal Theory. 7. The M/G/1 Queue. 8. Markov Processes. 9. Matrix Geometric Solutions. 10. Queueing Networks. 11. Epilogue and Special Topics -- A. Types of Randomness -- B. Combinatorial Equalities and Inequalities -- C. Tables of Laplace Transforms and Generating Functions -- D. Limits and Order Relationships -- E. List of Common Summations. 
520 |a This textbook provides a comprehensive introduction to probability and stochastic processes, and shows how these subjects may be applied in computer performance modeling. The author's aim is to derive probability theory in a way that highlights the complementary nature of its formal, intuitive, and applicative aspects while illustrating how the theory is applied in a variety of settings. 
520 8 |a Readers are assumed to be familiar with elementary linear algebra and calculus, including being conversant with limits, but otherwise, this book provides a self-contained approach suitable for graduate or advanced undergraduate students. The first half of the book covers the basic concepts of probability, including combinatorics, expectation, random variables, and fundamental theorems. In the second half of the book, the reader is introduced to stochastic processes. Subjects covered include renewal processes, queueing theory, Markov processes, matrix geometric techniques, reversibility, and networks of queues. Examples and applications are drawn from problems in computer performance modeling. Throughout, large numbers of exercises of varying degrees of difficulty will help to secure a reader's understanding of these important and fascinating subjects. 
588 0 |a Print version record. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
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650 0 |a Stochastic processes. 
650 0 |a Queuing theory. 
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650 2 |a Stochastic Processes 
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650 6 |a Processus stochastiques. 
650 6 |a Théorie des files d'attente. 
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