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

Clegg, RG; (2010) A discrete-time Markov-modulated queuing system with batched arrivals. PERFORM EVALUATION , 67 (5) 376 - 385. 10.1016/j.peva.2009.11.001.

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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. (C) 2009 Elsevier B.V. All rights reserved.

Type:Article
Title:A discrete-time Markov-modulated queuing system with batched arrivals
DOI:10.1016/j.peva.2009.11.001
Keywords:Queuing theory, D-BMAP/D/1 system, Markov-modulated process, Markov chain, INTERMITTENCY
UCL classification:UCL > School of BEAMS > Faculty of Engineering Science > Electronic and Electrical Engineering

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