Székely, B., Kőrösi, A., Vámos, P., Bíró, J. (2012) Discriminatory processor sharing with access rate limitations Annales Mathematicae et Informaticae. 39. pp. 309-323. ISSN 1787-5021 (Print), 1787-6117 (Online)
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Absztrakt (kivonat)
In the access part of communication networks user access rates are usually limited by technology and are much lower than the bottleneck link transmission capacity carrying the traffic flows aggregated. A possible model for bandwidth sharing of the bottleneck link is the Discriminatory Processor Sharing (DPS) models, in which the server capacity (link bandwidth) is distributed among different classes of users in an unequal manner. Recently, some DPS variants incorporating the access rate limits of users have been analyzed. These models are not bandwidth sparing in a sense, that the capacity share of a class may simply be cut at its access rate limit, and the incidentally residual bandwidth is not reused in other classes. In this paper we introduce and analyze a novel variant of DPS in which the original processor sharing effect and the access rate limit constraints are combined in a bandwidth economical way resulting a truly capacity-conserving operation. Besides the state space characterization of this model, two asymptotic behaviors are also presented. We also argue in the favor of practical significance of these asymptotics, that is it could greatly help in finding high quality approximate solutions of this DPS system, i.e.q in terms of the average waiting times of flows.
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| Megjegyzés: | Proceedings of the Conference on Stochastic Models and their Applications Faculty of Informatics University of Debrecen August 22–24, 2011 - Debrecen, Hungary | ||||||||||||||||||||
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| Nyelv: | angol | ||||||||||||||||||||
| Kötetszám: | 39. | ||||||||||||||||||||
| ISSN: | 1787-5021 (Print), 1787-6117 (Online) | ||||||||||||||||||||
| Felhasználó: | Tibor Gál | ||||||||||||||||||||
| Dátum: | 07 Már 2019 16:37 | ||||||||||||||||||||
| Utolsó módosítás: | 07 Már 2019 16:37 | ||||||||||||||||||||
| URI: | http://publikacio.uni-eszterhazy.hu/id/eprint/3232 |
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