Matrix-analytic methods in stochastic models
著者
書誌事項
Matrix-analytic methods in stochastic models
(Lecture notes in pure and applied mathematics, v. 183)
Marcel Dekker, c1997
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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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