Email this article 
Approximate Performance Analysis of Queues in Series
- Authors: Naumov V.A.1, Abaev P.O.1
-
Affiliations:
- Peoples' Friendship University of Russia
- Issue: No 3-4 (2007)
- Pages: 64-69
- Section: Mathematical Theory of Teletraffic
- URL: https://journals.rudn.ru/miph/article/view/51141
- EDN: https://elibrary.ru/JWJLWL
- ID: 51141
Cite item
Full Text
Abstract
Signaling system is the key element of the telecommunication infrastructure. Migration from traditional circuit-based networks to packet-based requires preserving quality and reliability of SS7. Hence, the performance analysis of SIP signaling system will play an essential role in optimizing network QoS provisioning. In this paper we investigate the behavior of SIP protocol over IP/MPLS network. In order to analyze SIP reliability and performance we develop an analytical model, which is multiphase queueing system with two incoming flows. Finally, we present formulas and numerical results to estimate mean and quantiles of sojourn time distribution.
About the authors
V. A. Naumov
Peoples' Friendship University of Russia6, Miklukho-Maklaya str., Moscow, 117198, Russia
P. O. Abaev
Peoples' Friendship University of Russia6, Miklukho-Maklaya str., Moscow, 117198, Russia
References
- Chakraborty S. S., Prasad R., Fathi H. Optimization of SIP Session Setup Delay for VoIP in 3G Wireless Networks // IEEE Transactions on Mobile Computing. - Vol. 5, No 9. - 2006. - Pp. 1121-1132.
- Гнеденко Б. В., Коваленко И. Н. Введение в теорию массового обслуживания. - М.: КомКнига, 2005. - 400 с.
- Fredericks A. A. A Class of Approximations for the Waiting Time Distribution in a GI|G|1 Queueing System // Bell System Technical Journal. - Vol. 61,295-325. No 3. - 1982. - Pp.
- Наумов В. А. О максимальном полюсе преобразования Лапласа-Стилтьеса времени ожидания // Cб. «Модели систем распределения информации и их анализ». - М.: Наука, 1982. - С. 77-82.
- Mean Waiting Time Approximation in the G|G|1 Queue / D. L. Jagerman, B. Bal-- 2004. - Pp. 481- cioglu, T. Altiok, B. Melamed // Queueing Systems. - Vol. 46. 506.
Supplementary files
