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Probability, Markov chains, queues, and simulation : the mathematical basis of performance 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 graduat...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton, N.J. :
Princeton University Press,
©2009.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Stewart, William J., |d 1946- | |
| 245 | 1 | 0 | |a Probability, Markov chains, queues, and simulation : |b the mathematical basis of performance modeling / |c William J. Stewart. |
| 260 | |a Princeton, N.J. : |b Princeton University Press, |c ©2009. | ||
| 300 | |a 1 online resource (xviii, 758 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 504 | |a Includes bibliographical references (pages 745-747) and index. | ||
| 520 | |a 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. | ||
| 505 | 0 | |a Probability -- Combinatorics : the art of counting -- Random variables and distribution functions -- Joint and conditional distributions -- Expectations and more -- Discrete distribution functions -- Continuous distribution functions -- Bounds and limit theorems -- Discrete- and continuous-time Markov chains -- Numerical solution of Markov chains -- Elementary queueing theory -- Queues with phase-type laws : neuts' matrix-geometric method -- The z-transform approach to solving Markovian queues -- The M/G/1 and G/M/1 queues -- Queueing networks -- Some probabilistic and deterministic applications of random numbers -- Uniformly distributed "random" numbers -- Nonuniformly distributed "random" numbers -- Implementing discrete-event simulations -- Simulation measurements and accuracy. | |
| 546 | |a English. | ||
| 590 | |a JSTOR |b Books at JSTOR Evidence Based Acquisitions | ||
| 590 | |a JSTOR |b Books at JSTOR Demand Driven Acquisitions (DDA) | ||
| 590 | |a JSTOR |b Books at JSTOR All Purchased | ||
| 650 | 0 | |a Probabilities |x Computer simulation. | |
| 650 | 0 | |a Markov processes. | |
| 650 | 0 | |a Queuing theory. | |
| 650 | 6 | |a Probabilités |x Simulation par ordinateur. | |
| 650 | 6 | |a Processus de Markov. | |
| 650 | 6 | |a Théorie des files d'attente. | |
| 650 | 7 | |a SCIENCE |x Essays. |2 bisacsh | |
| 650 | 7 | |a SCIENCE |x Reference. |2 bisacsh | |
| 650 | 7 | |a COMPUTERS / Data Modeling & Design |2 bisacsh | |
| 650 | 7 | |a Markov processes |2 fast | |
| 650 | 7 | |a Probabilities |x Computer simulation |2 fast | |
| 650 | 7 | |a Queuing theory |2 fast | |
| 776 | 0 | 8 | |i Print version: |a Stewart, William J., 1946- |t Probability, Markov chains, queues, and simulation. |d Princeton, N.J. : Princeton University Press, ©2009 |z 9780691140629 |w (DLC) 2008041122 |w (OCoLC)255018592 |
| 856 | 4 | 0 | |u https://jstor.uam.elogim.com/stable/10.2307/j.ctvcm4gtc |z Texto completo |
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