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A discrete-time Markov modulated queuing system with batched arrivals

Richard G. Clegg
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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.

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BibTeXRIS

Richard G. Clegg. 2009-10-01. A discrete-time Markov modulated queuing system with batched arrivals. https://doi.org/10.1016/j.peva.2009.11.001

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