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Probability, Markov Chains, Queues, and Simulation (The Mathematical Basis of Performance Modeling) by Stewart, William J. is a scholarly article available to read on EtoBox.

What is Probability, Markov Chains, Queues, and Simulation (The Mathematical Basis of Performance Modeling) about?

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 analyze

Author

Stewart, William J.

Publisher

Princeton University Press

Published

2009

Language

EN

ISBN

9781400832811