On the use of a fundamental identity in the theory of semi-Markov queues-Reference-Cited by-同舟云学术

On the use of a fundamental identity in the theory of semi-Markov queues

Published:1972-08 Issue:02 Volume:4 Page:271-284
ISSN:0001-8678
Container-title:Advances in Applied Probability
language:en
Short-container-title:Adv. Appl. Probab.

Author:

Arjas E.

Abstract

In the paper a single server semi-Markov queue is considered. The analysis is based on a fundamental matrix identity due to H. D. Miller. A natural method for the solution of semi-Markov queues is indicated; use is also made of a duality relation, which is discussed in the paper.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,Statistics and Probability

Reference22 articles.

1. Absorption Probabilities for Sums of Random Variables Defined on a Finite Markov Chain

2. Boundary Problems for Sums of Lattice Random Variables, Defined on a Finite Regular Markov Chain

3. A Convexity Property in the Theory of Random Variables Defined on a Finite Markov Chain

4. Some Duality Results in the Theory of Queues

5. Stationary Waiting-Time Distributions for Single-Server Queues

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1. Markov-modulated single-server queueing systems;Journal of Applied Probability;1994

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