A perturbation method for solving some queues with processor sharing discipline

Author:

Sengupta Bhaskar

Abstract

In this paper, we present a perturbation method of solving a second-order difference equation with variable coefficients with some additional assumptions. This method can be used to devise an algorithmic solution for the moments of sojourn times in some processor sharing queues. In particular, we examine three queues. The first has exponential service and a fairly general interrupted arrival mechanism. The second is a cyclic queue. The third is a model for a computer system in which finite and infinite sources interact.

Publisher

Cambridge University Press (CUP)

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Reference12 articles.

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1. Queue-Length Distribution for the Discriminatory Processor-Sharing Queue;Operations Research;1996-08

2. A two-queue model with exhaustive and limited service disciplines;Communications in Statistics. Stochastic Models;1996-01

3. Mathematical problems in the theory of shared-processor systems;Journal of Soviet Mathematics;1992-01

4. The gi/m/1 processor-sharing queue and its heavy traffic analysis;Communications in Statistics. Stochastic Models;1991-01

5. The Fundamental Period of the Queue with Markov-Modulated Arrivals;Probability, Statistics, and Mathematics;1989

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