# Probability, Markov Chains, Queues, and Simulation: The Mathematical Basis of Performance Modeling

## William J. Stewart

Valutazione media 3,86
( su 7 valutazioni fornite da Goodreads )

Probability, Markov Chains, Queues, and Simulation provides a modern and authoritative treatment of the mathematical processes that underlie performance modeling. The detailed explanations of mathematical derivations and numerous illustrative examples make this textbook readily accessible to graduate and advanced undergraduate students taking courses in which stochastic processes play a fundamental role. The textbook is relevant to a wide variety of fields, including computer science, engineering, operations research, statistics, and mathematics.

The textbook looks at the fundamentals of probability theory, from the basic concepts of set-based probability, through probability distributions, to bounds, limit theorems, and the laws of large numbers. Discrete and continuous-time Markov chains are analyzed from a theoretical and computational point of view. Topics include the Chapman-Kolmogorov equations; irreducibility; the potential, fundamental, and reachability matrices; random walk problems; reversibility; renewal processes; and the numerical computation of stationary and transient distributions. The M/M/1 queue and its extensions to more general birth-death processes are analyzed in detail, as are queues with phase-type arrival and service processes. The M/G/1 and G/M/1 queues are solved using embedded Markov chains; the busy period, residual service time, and priority scheduling are treated. Open and closed queueing networks are analyzed. The final part of the book addresses the mathematical basis of simulation.

Each chapter of the textbook concludes with an extensive set of exercises. An instructor's solution manual, in which all exercises are completely worked out, is also available (to professors only).

• Numerous examples illuminate the mathematical theories

• Carefully detailed explanations of mathematical derivations guarantee a valuable pedagogical approach

• Each chapter concludes with an extensive set of exercises

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

From the Inside Flap:

"This is an excellent book on the topics of probability, Markov chains, and queuing theory. Extremely well-written, the contents range from elementary topics to quite advanced material and include plenty of well-chosen examples."--Adarsh Sethi, University of Delaware

"Clear and pleasant to read, this book distinguishes itself from comparable textbooks by its inclusion of the computational aspects of the material."--Richard R. Muntz, University of California, Los Angeles

William J. Stewart is professor of computer science at North Carolina State University. He is the author of An Introduction to the Numerical Solution of Markov Chains (Princeton).

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

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## 1.Probability, Markov Chains, Queues, and Simulation: The Mathematical Basis of Performance Modeling

Editore: Ewing, New Jersey, U.S.A.: Princeton Univ Pr (2009)
ISBN 10: 0691140626 ISBN 13: 9780691140629
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Descrizione libro Ewing, New Jersey, U.S.A.: Princeton Univ Pr, 2009. Soft cover. Condizione libro: New. Condizione sovraccoperta: New. 1st Edition. Low price guarantee! The book is the brand new international edition textbook with the different ISBN and cover design. The book main content black/white printed in full English as same as the corresponding original US edition. Fast shipments in one to two working days after the orders confirmed. Codice libro della libreria ABE-11717580049

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## 2.Probability, Markov Chains, Queues, and Simulation

Editore: Princeton University Press (2009)
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## 3.Probability, Markov Chains, Queues, and Simulation: The Mathematical Basis of Performance Modeling (Hardback)

Editore: Princeton University Press, United States (2009)
ISBN 10: 0691140626 ISBN 13: 9780691140629
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Descrizione libro Princeton University Press, United States, 2009. Hardback. Condizione libro: New. Language: English . Brand New Book. Probability, Markov Chains, Queues, and Simulation provides a modern and authoritative treatment of the mathematical processes that underlie performance modeling. The detailed explanations of mathematical derivations and numerous illustrative examples make this textbook readily accessible to graduate and advanced undergraduate students taking courses in which stochastic processes play a fundamental role. The textbook is relevant to a wide variety of fields, including computer science, engineering, operations research, statistics, and mathematics. The textbook looks at the fundamentals of probability theory, from the basic concepts of set-based probability, through probability distributions, to bounds, limit theorems, and the laws of large numbers. Discrete and continuous-time Markov chains are analyzed from a theoretical and computational point of view. Topics include the Chapman-Kolmogorov equations; irreducibility; the potential, fundamental, and reachability matrices; random walk problems; reversibility; renewal processes; and the numerical computation of stationary and transient distributions. The M/M/1 queue and its extensions to more general birth-death processes are analyzed in detail, as are queues with phase-type arrival and service processes. The M/G/1 and G/M/1 queues are solved using embedded Markov chains; the busy period, residual service time, and priority scheduling are treated. Open and closed queueing networks are analyzed. The final part of the book addresses the mathematical basis of simulation. Each chapter of the textbook concludes with an extensive set of exercises. An instructor s solution manual, in which all exercises are completely worked out, is also available (to professors only). Numerous examples illuminate the mathematical theories Carefully detailed explanations of mathematical derivations guarantee a valuable pedagogical approach Each chapter concludes with an extensive set of exercises. Codice libro della libreria AAZ9780691140629

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## 4.Probability, Markov Chains, Queues and Simulation

Editore: Princeton University Press 2009-07-14, Princeton, N.J. |Oxford (2009)
ISBN 10: 0691140626 ISBN 13: 9780691140629
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Descrizione libro Princeton University Press 2009-07-14, Princeton, N.J. |Oxford, 2009. hardback. Condizione libro: New. Codice libro della libreria 9780691140629

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## 5.Probability, Markov Chains, Queues, and Simulation: The Mathematical Basis of Performance Modeling (Hardback)

Editore: Princeton University Press, United States (2009)
ISBN 10: 0691140626 ISBN 13: 9780691140629
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Descrizione libro Princeton University Press, United States, 2009. Hardback. Condizione libro: New. Language: English . Brand New Book. Probability, Markov Chains, Queues, and Simulation provides a modern and authoritative treatment of the mathematical processes that underlie performance modeling. The detailed explanations of mathematical derivations and numerous illustrative examples make this textbook readily accessible to graduate and advanced undergraduate students taking courses in which stochastic processes play a fundamental role. The textbook is relevant to a wide variety of fields, including computer science, engineering, operations research, statistics, and mathematics. The textbook looks at the fundamentals of probability theory, from the basic concepts of set-based probability, through probability distributions, to bounds, limit theorems, and the laws of large numbers. Discrete and continuous-time Markov chains are analyzed from a theoretical and computational point of view. Topics include the Chapman-Kolmogorov equations; irreducibility; the potential, fundamental, and reachability matrices; random walk problems; reversibility; renewal processes; and the numerical computation of stationary and transient distributions. The M/M/1 queue and its extensions to more general birth-death processes are analyzed in detail, as are queues with phase-type arrival and service processes. The M/G/1 and G/M/1 queues are solved using embedded Markov chains; the busy period, residual service time, and priority scheduling are treated. Open and closed queueing networks are analyzed. The final part of the book addresses the mathematical basis of simulation. Each chapter of the textbook concludes with an extensive set of exercises. An instructor s solution manual, in which all exercises are completely worked out, is also available (to professors only). * Numerous examples illuminate the mathematical theories * Carefully detailed explanations of mathematical derivations guarantee a valuable pedagogical approach * Each chapter concludes with an extensive set of exercises. Codice libro della libreria AAZ9780691140629

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## 6.Probability, Markov Chains, Queues, and Simulation: The Mathematical Basis of Performance Modeling (Hardcover)

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## 7.Probability, Markov Chains, Queues, and Simulation

Editore: Princeton University Press (2009)
ISBN 10: 0691140626 ISBN 13: 9780691140629
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Descrizione libro Princeton University Press, 2009. Condizione libro: New. 2009. Hardcover. Offers a modern and authoritative treatment of the mathematical processes that underlie performance modeling. This book looks at the fundamentals of probability theory, from the basic concepts of set-based probability, through probability distributions, to bounds, limit theorems, and the laws of large numbers. Num Pages: 776 pages, 175 line illus. BIC Classification: PBT; PBWH. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 264 x 184 x 40. Weight in Grams: 1514. . . . . . . Codice libro della libreria V9780691140629

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Descrizione libro 2009. HRD. Condizione libro: New. New Book. Shipped from US within 10 to 14 business days. Established seller since 2000. Codice libro della libreria KS-9780691140629

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## 9.Probability, Markov Chains, Queues, and Simulation

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Descrizione libro Hardback. Condizione libro: New. Not Signed; Probability, Markov Chains, Queues, and Simulation provides a modern and authoritative treatment of the mathematical processes that underlie performance modeling. The detailed explanations of mathematical derivations and numerous illustrative examples make this textbook readily accessible to graduat. book. Codice libro della libreria ria9780691140629_rkm

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Descrizione libro 2009. HRD. Condizione libro: New. New Book.Shipped from US within 10 to 14 business days. Established seller since 2000. Codice libro della libreria IB-9780691140629

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