Queues with M/G/$\infty$ Input: A survey and Some New Results

Abstract : As input traffic at various nodes in packet switched telecommunication networks typically exhibits considerable correlation, there is a continuing interest in queuing systems with correlated arrivals. The class of M/G/[infinity] arrival models can account for various types of arrival correlation, has a two-level structure which is appealing in the context of network protocol stacks, and is characterised by only few parameters. Moreover, queues with M/G/[infinity] input prove to be amenable for a classic queueing analysis. In view of these characteristics, it is not surprising that these models have attracted considerable attention in the past. In this paper, we survey the literature on M/G/[infinity] type queueing systems, present some new results on these systems, and extend the class of M/G/[infinity] input models, while retaining the analytic tractability of the corresponding queueing systems.
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Roberto Cominetti and Sylvain Sorin and Bruno Tuffin. NetGCOOP 2011 : International conference on NETwork Games, COntrol and OPtimization, Oct 2011, Paris, France. IEEE, pp.5, 2011
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Dieter Fiems, Koen De Turck. Queues with M/G/$\infty$ Input: A survey and Some New Results. Roberto Cominetti and Sylvain Sorin and Bruno Tuffin. NetGCOOP 2011 : International conference on NETwork Games, COntrol and OPtimization, Oct 2011, Paris, France. IEEE, pp.5, 2011. 〈hal-00644486〉

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