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Probability Markov Chains Queues And Simulation The Mathematical Basis Of Performance Modeling 1st Edition William J Stewart

  • SKU: BELL-23401842
Probability Markov Chains Queues And Simulation The Mathematical Basis Of Performance Modeling 1st Edition William J Stewart
$ 31.00 $ 45.00 (-31%)

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Probability Markov Chains Queues And Simulation The Mathematical Basis Of Performance Modeling 1st Edition William J Stewart instant download after payment.

Publisher: Princeton University Press
File Extension: PDF
File size: 4.25 MB
Pages: 777
Author: William J. Stewart
ISBN: 9780679645160, 9780691140629, 0679645160, 0691140626, B006QNPJ4W
Language: English
Year: 2009
Edition: 1

Product desciption

Probability Markov Chains Queues And Simulation The Mathematical Basis Of Performance Modeling 1st Edition William J Stewart by William J. Stewart 9780679645160, 9780691140629, 0679645160, 0691140626, B006QNPJ4W instant download after payment.

Main subject categories: • Probability • Computer simulation • Markov processes • Queueing theory • Mathematical modeling

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.

• Examples illuminate the mathematical theories

• Detailed explanations of mathematical derivations

• Extensive sets of exercises

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