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Matrix-Analytic Methods in Stochastic Models de S. Chakravarthy

Matrix-Analytic Methods in Stochastic Models: Lecture Notes in Pure and Applied Mathematics

Editat de S. Chakravarthy, Attahiru S. Alfa
en Limba Engleză Paperback – 19 sep 1996
Based on the proceedings of the first International Conference on Matrix-Analytic Methods (MAM) in Stochastic Models, held in Flint, Michigan, this book presents a general working knowledge of MAM through tutorial articles and application papers. It furnishes information on MAM studies carried out in the former Soviet Union.
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Specificații

ISBN-13: 9780824797669
ISBN-10: 0824797663
Pagini: 396
Dimensiuni: 178 x 254 x 19 mm
Greutate: 0.73 kg
Ediția:New.
Editura: CRC Press
Colecția CRC Press
Seria Lecture Notes in Pure and Applied Mathematics

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Professional

Cuprins

The Marcovian arrival process: some future directions; an algorithm for the P(n,t) matrices of a continuous BMAP; a pre-emptive priority Queue with non-renewal inputs; analysis of a multiserver delay-loss system with a general Markovian arrival process; analysis of a finite capacity multi-server Queue with non-preemptive priorities and non-renewal input; matrix-multiplicative approach to quasi-birth-and-death processes; a level crossing analysis in the MAP/G/1 Queue; performance analysis and optimal threshold policies for Queueing systems with several heterogeneous servers and Markov modulated arrivals; phase type distributions and related point processes; fitting and recent advances; parameter approximation for phase type distributions; SPH-distributions and the rectangle-iterative algorithm; execution time on unreliable server with latent breakdowns; asymptotic analysis of switching Queueing systems in conditions of small and heavy loading; matrix analytic methods: a tutorial overview with some extensions and new results; matrix-analytic methods for Markov chains on a tree structure; renewal theory and Queueing algorithms for matrix-exponential distributions; determination of explicit solutions to a general class of Markov processes; equilibrium distributions for level-dependent quasi-birth-and-death processes.

Descriere

Based on the proceedings of the first International Conference on Matrix-Analytic Methods (MAM) in Stochastic Models, held in Flint, Michigan, this book presents a general working knowledge of MAM through tutorial articles and application papers. It furnishes information on MAM studies carried out in the former Soviet Union.