It has been reported that high-speed communication network traffic exhibits both long-range dependence (LRD) and burstiness, which posed new challenges in network engineering. While many models have been studied in capturing the traffic LRD, they are not capable of capturing efficiently the traffic impulsiveness. It is desirable to develop a model that can capture both LRD and burstiness. In this letter, we propose a truncated α-stable LRD process model for this purpose, which can characterize both LRD and burstiness accurately. A procedure is developed further to estimate the model parameters from real traffic. Simulations demonstrate that our proposed model has a higher accuracy compared to existing models and is flexible in capturing the characteristics of high-speed network traffic.
- System modeling
- network traffic modeling
- truncated α-stable processes
This is a preview of subscription content, access via your institution.
Unable to display preview. Download preview PDF.
Leland, W.E., Taqqu, M.S., Willinger, W., Wilson, D.V.: On the self-similar nature of Ethernet traffic. IEEE/ACM Trans. Networking 2, 1–15 (1994)
Karasaridis, A., Hatzinakos, D.: Network heavy traffic modeling using α-stable self-similar processes. IEEE Trans. Commun. 49, 1203–1214 (2001)
Qin, W., Wang, Q., Sivasubramiam, A.: An [graphics object to be inserted manually]-stable model-based linear-parameter-varying control for managing server performance under self-similar workloads. IEEE Trans. Control Systems Technology 17, 123–134 (2009)
Scherrer, A., Larrieu, N., Owezarski, P., Borgnat, P., Abry, P.: Non-Gaussian and long memory statistical characterisations for internet traffic with anomalies. IEEE Trans. Depend. Secur. Comput. 4, 56–70 (2007)
Beran, J., Sherman, R., Taqqu, M.S., Willinger, W.: Long-range dendence in variable-bit-rate video traffic. IEEE Trans. Comm. 43, 1566–1579 (1995)
Ge, X., Yang, Y., Wang, C., Liu, Y., Liu, C., Xiang, L.: Characteristics analysis and modeling of frame traffic in 802.11 wireless networks. Wirel. Commun. Mob. Comput. 10, 584–592 (2010)
Editors and Affiliations
Rights and permissions
© 2012 Springer-Verlag GmbH Berlin Heidelberg
About this chapter
Cite this chapter
Bai, L., Guan, W., Chen, C., He, J., Wang, R. (2012). Modeling High-Speed Network Traffic with Truncated α-Stable Processes. In: Zhang, Y. (eds) Future Communication, Computing, Control and Management. Lecture Notes in Electrical Engineering, vol 141. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27311-7_80
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-27310-0
Online ISBN: 978-3-642-27311-7
eBook Packages: EngineeringEngineering (R0)