Matrix-Analytic Methods in Stochastic Models

1. Auflage 2000
ISBN: 978-0-8247-9766-9
Verlag: Routledge

Buch, Englisch, 396 Seiten, Format (B × H): 178 mm x 254 mm, Gewicht: 742 g

Reihe: Lecture Notes in Pure and Applied Mathematics

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.

Autoren/Hrsg.

Chakravarthy, S. R.

Attahiru, Alfa

Chakravarthy, Chakravarthy

Chakravarthy, S.

Alfa, Attahiru S.

Fachgebiete

• Mathematik | Informatik Mathematik Stochastik Mathematische Statistik
• Mathematik | Informatik Mathematik Stochastik Stochastische Prozesse
• Mathematik | Informatik Mathematik Stochastik Elementare Stochastik
• Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung

Inhaltsverzeichnis

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.

Über Autor(innen)

S. Chakravarthy, Attahiru S. Alfa