Description: Probability, Markov Chains, Queues, and SimulationThe Mathematical Basis of Performance Modeling Author(s): William J. Stewart Format: Hardback Publisher: Princeton University Press, United States Imprint: Princeton University Press ISBN-13: 9780691140629, 978-0691140629 Synopsis 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
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Book Title: Probability, Markov Chains, Queues, and Simulation
Number of Pages: 776 Pages
Language: English
Publication Name: Probability, Markov Chains, Queues, and Simulation: the Mathematical Basis of Performance Modeling
Publisher: Princeton University Press
Publication Year: 2009
Subject: Engineering & Technology, Technology, Computer Science, Mathematics
Item Height: 254 mm
Item Weight: 1474 g
Type: Textbook
Author: William J. Stewart
Item Width: 178 mm
Format: Hardcover
