Markovian queues with correlated arrival processes
Loading...
Date
2005
DOI
Open Access Location
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Massey University
Rights
Abstract
In an attempt to examine the effect of dependencies in the arrival process on the steady state
queue length process in single server queueing models with exponential service time distribution,
four different models for the arrival process, each with marginally distributed exponential interarrivals
to the queueing system, are considered. Two of these models are based upon the upper
and lower bounding joint distribution functions given by the Fréchet bounds for bivariate
distributions with specified marginals, the third is based on Downton’s bivariate exponential
distribution and fourthly the usual M/M/1 model. The aim of the paper is to compare conditions
for stability and explore the queueing behaviour of the different models.
Description
Keywords
Markovian queues
Citation
Hunter, J.J. (2005), Markovian queues with correlated arrival processes, Research Letters in the Information and Mathematical Sciences, 7, 1-17