A discrete-time Markov modulated queuing system with batched arrivals

Details A discrete-time Markov modulated queuing system with batched arrivals A discrete-time Markov modulated queuing system with batched arrivals

2006-12-16

arxiv.org/abs/math/0612476v3

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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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