Analysis of the system with vacations under poissonian input stream and constant service times

• Autorzy: Sosnowski M. , Burakowski W.
• Języki publikacji: EN

Abstrakty

EN

In the paper approximate formulas for the mean waiting times and the buffer dimensioning in the system with vacations fed by the stream of Poissonian type with constant service times is shown. Furthermore, in the considered system the time intervals of the availability/notavailability of the service are constant and are run alternately according to the assumed cycle. More precisely, presented approach begin with derivation of the mean waiting times and, on the basis of this, the required buffer size for guaranteeing the losses less than predefined value is estimated. The accuracy of the presented analytical formulas is on a satisfactory level. The formulas were used for the System IIP dimensioning.

Słowa kluczowe

EN

approximation analysis; buffer dimensioning; mean waiting times; system with vacations

• Wydawca: Instytut Łączności - Państwowy Instytut Badawczy
• Czasopismo: Journal of Telecommunications and Information Technology
• Rocznik: 2013
• Tom: nr 3
• Strony: 3--8
• Opis fizyczny: Bibliogr. 6 poz., rys., tab.

Twórcy

autor

Sosnowski M.

• Faculty of Electronics and Information Technology, Warsaw University of Technology, Nowowiejska st 15/19, 00-665 Warsaw, Poland

autor

Burakowski W.

• Faculty of Electronics and Information Technology, Warsaw University of Technology, Nowowiejska st 15/19, 00-665 Warsaw, Poland

Bibliografia

• [1] W. Burakowski et al., “Virtualized network infrastructure supporting co-existence of Parallel Internets”, in Proc. 13th ACIS Int. Conf. Softw. Engin., Artif. Intell., Netw. Parallel/Distrib. Comput. SNPD 2012, Kyoto, Japan, 2012.
• [2] S. S. Lam, “Delay analysis of a Time Division Multiple Access (TDMA) channel”, IEEE Trans. Commun., vol. 25, pp. 1489–1494, 1977.
• [3] K. T. Ko and B. Davis, “Delay analysis for a TDMA channel with contiguous output and Poisson message arrival”, IEEE Trans. Commun., vol. COM-32, no. 6, pp. 707–709, 1984.
• [4] I. Rubin, “Message delays in FDMA and TDMA communication channels”, IEEE Transactions Commun., vol. COM-27, pp. 769–777, 1979.
• [5] M. Sosnowski and W. Burakowski, “Evaluation of mean waiting time in the system with vacations”, Student Poster Session, 24th International Teletraffic Congress ITC 24, Kraków, Poland, 2012.
• [6] J. Roberts (Ed.), Information technologies and science: COST 224: Performance evaluation and design of multiservice networks, EUR 14152 en, 1992.