A discrete-time Markov modulated queuing system with batched arrivals
Probability
2013-03-28 v3 Dynamical Systems
Statistics Theory
Statistics Theory
Abstract
This paper examines a discrete-time queuing system with applications to telecommunications traffic. The arrival process is a particular Markov modulated process 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.
Cite
@article{arxiv.math/0612476,
title = {A discrete-time Markov modulated queuing system with batched arrivals},
author = {Richard G. Clegg},
journal= {arXiv preprint arXiv:math/0612476},
year = {2013}
}
Comments
to appear Performance Evaluation