A discrete-time Markov modulated queuing system with batched arrivals

Paper type: 
Journal Paper
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