A discrete-time Markov modulated queuing system with batched arrivals

Submitted by richard on Sun, 10/27/2013 - 16:36
Richard G. Clegg
Performance Evaluation 67(5)
Year
2010
Abstract
This paper examines a discrete-time queuing system with applications to telecom-
munications traffic. The arrival process is a particular Markov modulated pro-
cess which belongs to the class of discrete batched Markovian arrival processes.
The server process is a single server deterministic queue. A closed form exact
solution is given for the expected queue length and delay. A simple system of
equations is given for the probability of the queue exceeding a given length.
Description

This paper looks at a markov chain based model and uses queuing theory to analyse its performance. The system is D-BMAP/D/1 and a closed form solution is found

Preprint
bibtex
@article{Clegg2010376,
title = "A discrete-time Markov-modulated queuing system with batched arrivals ",
journal = "Performance Evaluation ",
volume = "67",
number = "5",
pages = "376 -- 385",
year = "2010",
author = "Richard G. Clegg"
}
doi
doi://10.1016/j.peva.2009.11.001
Paper type