# Mean-field Game Approach to Admission Control of an M/M/$\infty$ Queue with Decreasing Congestion Cost

2 MAESTRO - Models for the performance analysis and the control of networks
CRISAM - Inria Sophia Antipolis - Méditerranée
Abstract : We study a mean field approximation of the M/M/$\infty$ queuing system. This queue is often used to model the number of cellular phone users in a cell. We assume that congestion here has a positive impact on the performance so that the more there are users, the less it is costly to offer a service per cell phone, for example, if a base station broadcasts a film then the cost per customer decreases. We obtain closed-form formulas for the equilibria. We show that the mean-field approximation becomes tight as the workload increases, thus the results obtained for the mean-field model well approximate the discrete one.
Type de document :
Communication dans un congrès
7th International Conference on NETwork Games COntrol and OPtimization (NETGCOOP 2014), Oct 2014, Trento, Italy. 2014

Littérature citée [14 références]

https://hal.inria.fr/hal-01066458
Contributeur : Eitan Altman <>
Soumis le : samedi 20 septembre 2014 - 14:51:58
Dernière modification le : lundi 28 mai 2018 - 14:12:11
Document(s) archivé(s) le : dimanche 21 décembre 2014 - 10:15:49

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piotr-netgcoop.pdf
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• HAL Id : hal-01066458, version 1

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Piotr Wiecek, Eitan Altman, Arnob Ghosh. Mean-field Game Approach to Admission Control of an M/M/$\infty$ Queue with Decreasing Congestion Cost. 7th International Conference on NETwork Games COntrol and OPtimization (NETGCOOP 2014), Oct 2014, Trento, Italy. 2014. 〈hal-01066458〉

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