書誌事項

Matrix-analytic methods in stochastic models

edited by Srinivas R. Chakravarthy, Attahiru S. Alfa

(Lecture notes in pure and applied mathematics, v. 183)

Marcel Dekker, c1997

大学図書館所蔵 件 / 55

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注記

Based on papers from a conference held in Flint, Mich

Includes bibliographical references

内容説明・目次

内容説明

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.

目次

  • 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.

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