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Abstrakty
he sequence of systems of m leaky buckets and one mul- tiplexer is considered. It turns out that the states of the buffers for tokens and the state of the buffer of the multiplexer satisfy differential equations in the limit as the size of the cells of the data and the value of the tokens tend to zero. The results are compared with the equations proposed by N.U. Ahmed and K.L. Teo.
Czasopismo
Rocznik
Tom
Strony
29-39
Opis fizyczny
Bibliogr. 5 poz., rys.
Twórcy
autor
- Jagiellonian University, Institute of Computer Science Nawojki 11, 30-072 Kraków, Poland, gruszczynski@softlab.ii.uj.edu.pl
Bibliografia
- [1] Ahmed N.U., Teo K.L.; Dynamic Models for Computer Communication Net-works and their Mathematical Analysis, Dynamics of Continuous, Discrete and Impulsive Systems, Series B: Application & Algorithms, 9(4), 2002, pp. 507-524.
- [2] Gruszczyński J.; A Limit Theorem for the System of Leaky Buckets (electronic version), Institute of Computer Science, Jagiellonian University, Preprint2004/04. Available via http://www.ii.uj.edu.pl/preprint/gruszczynski01/.
- [3] Onvual Raif 0.; Asynchronous Transfer Mode Networks, Performance Issues,Artech House, Inc., 1994, pp. 135-142.
- [4] Pelczar A., Szarski J.; Wstęp do teorii równań różniczkowych, PWN, Warszawa 1987, pp. 354.
- [5] Vamvakos S., Anantharam V.; On the Departure Process of a Leaky Bucket System with Long-Range Dependent Input Traffic, Queuing Systems - Theory and Application (QUESTA), 28(1-3), 1998, pp. 191-214.Received May 4, 2004
Typ dokumentu
Bibliografia
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bwmeta1.element.baztech-article-BUJ5-0005-0020