Matrix-Analytic Methods in Stochastic Models

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S. Chakravarthy, Attahiru S. Alfa
CRC Press, Sep 19, 1996 - Mathematics - 396 pages
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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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Contents

Some Future Directions
1
An Algorithm for the Pnt Matrices of a Continuous BMAP
7
A Preemptive Priority Queue with Nonrenewal Inputs
21
Analysis of a Multiserver DelayLoss System with a General Markovian Arrival Process
43
Analysis of a Finite Capacity Multiserver Model with Nonpreemptive Priorities and Nonrenewal Input
67
MatrixMultiplicative Approach to QuasiBirthandDeath Processes Analysis
87
A Level Crossing Analysis of the MAPGI Queue
107
Performance Analysis and Optimal Threshold Policies for Queueing Systems with Several Heterogeneous Servers and Markov Modulated Arrivals
117
SPHDistributions and the RectangleIterative Algorithm
207
Execution Time on an Unreliable Server with Latent Breakdowns
225
Asymptotic Analysis of Switching Queueing Systems in Conditions of Low and Heavy Loading
241
A Tutorial Overview with Some Extensions and New Results
261
MatrixAnalytic Methods for Markov Chains on a Tree Structure
297
Renewal Theory and Queueing Algorithms for MatrixExponential Distributions
313
Determination of Explicit Solutions for a General Class of Markov Processes
343
Equilibrium Distributions for LevelDependent QuasiBirthandDeath Processes
359

Fitting and Recent Advances
137
Parameter Approximation for PhaseType Distributions
151

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