Abstract
In this paper the performance of fractional order PID controller as AQM mechanism and impact of traffic self-similarity on network utilization are investigated with the use of discrete event simulation models. The researches show the influence of selection of PID parameters and degree of traffic self-similarity on queue behavior. During the tests we analyzed the length of the queue, the number of rejected packets and waiting times in queues. In particular, the paper uses fractional Gaussian noise as a self-similar traffic source. The quantitative analysis is based on simulation.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Floyd, S., Jacobson, V.: Random early detection gateways for congestion avoidance. IEEE/ACM Trans. Netw. 1(4), 397–413 (1993)
Domańska, J., Domański, A., Czachórski, T., Klamka, J.: Fluid flow approximation of time-limited TCP/UDP/XCP streams. Bull. Pol. Acad. Sci. Tech. Sci. 62(2), 217–225 (2014)
Domański, A., Domańska, J., Czachórski, T.: Comparison of AQM control systems with the use of fluid flow approximation. In: Kwiecień, A., Gaj, P., Stera, P. (eds.) CN 2012. CCIS, vol. 291, pp. 82–90. Springer, Heidelberg (2012). doi:10.1007/978-3-642-31217-5_9
Domańska, J., Augustyn, D., Domański, A.: The choice of optimal 3rd order polynomial packet dropping function for NLRED in the presence of self-similar traffic. Bull. Pol. Acad. Sci. Tech. Sci. 60(4), 779–786 (2012)
Augustyn, D.R., Domański, A., Domańska, J.: A choice of optimal packet dropping function for active queue management. In: Kwiecień, A., Gaj, P., Stera, P. (eds.) CN 2010. CCIS, vol. 79, pp. 199–206. Springer, Heidelberg (2010). doi:10.1007/978-3-642-13861-4_20
Domańska, J., Domański, A., Augustyn, D., Klamka, J.: A RED modified weighted moving average for soft real-time application. Int. J. Appl. Math. Comput. Sci. 24(3), 697–707 (2014)
Domańska, J., Domański, A., Czachórski, T.: The drop-from-front strategy in AQM. In: Koucheryavy, Y., Harju, J., Sayenko, A. (eds.) NEW2AN 2007. LNCS, vol. 4712, pp. 61–72. Springer, Heidelberg (2007). doi:10.1007/978-3-540-74833-5_6
Hollot, C., Misra, V., Towsley, D., Gong, W.: On designing improved controllers for AQM routers supporting TCP flows. In: IEEE/INFOCOM 2001, pp. 1726–1734 (2001)
Michiels, W., Melchor-Aquilar, D., Niculescu, S.: Stability analysis of some classes of TCP/AQM networks. Int. J. Control 79, 1136–1144 (2006)
Melchor-Aquilar, D., Castillo-Tores, V.: Stability analysis of proportional-integral AQM controllers supporting TCP flows. Computacion y Sistemas 10, 401–414 (2007)
Ustebay, D., Ozbay, H.: Switching resilient pi controllers for active queue management of TCP flows. In: Proceedings of the 2007 IEEE International Conference on Networking, Sensing and Control, pp. 574–578 (2007)
Podlubny, I.: Fractional order systems and \({PI}^\lambda {D}^\mu \) controllers. IEEE Trans. Autom. Control 44(1), 208–214 (1999)
Chen, Y., Petras, I., Xue, D.: Fractional order control - a tutorial. In: American Control Coference, pp. 1397–1411 (2009)
Babiarz, A., Czornik, A., Klamka, J., Niezabitowski, M.: Theory and Applications of Non-integer Order Systems. Lecture Notes in Electrical Engineering, vol. 407. Springer, Heidelberg (2017)
Krajewski, W., Viaro, U.: On robust fractional order PI controller for TCP packet flow. In: BOS Coference: Systems and Operational Research, Warsaw, Poland, September 2014
Domanski, A., Domanska, J., Czachorski, T., Klamka, J.: Use of a non integer order PI controller with an active queue management mechanism. Int. J. Appl. Math. Comput. Sci. 26, 777–789 (2016)
Crovella, M., Bestavros, A.: Self-similarity in world wide web traffic: evidence and possible causes. IEEE/ACM Trans. Netw. 5, 835–846 (1997)
Domański, A., Domańska, J., Czachórski, T.: The impact of self-similarity on traffic shaping in wireless LAN. In: Balandin, S., Moltchanov, D., Koucheryavy, Y. (eds.) NEW2AN 2008. LNCS, vol. 5174, pp. 156–168. Springer, Heidelberg (2008). doi:10.1007/978-3-540-85500-2_14
Domańska, J., Domańska, A., Czachórski, T.: A few investigations of long-range dependence in network traffic. In: Czachórski, T., Gelenbe, E., Lent, R. (eds.) Information Sciences and Systems 2014, pp. 137–144. Springer, Cham (2014). doi:10.1007/978-3-319-09465-6_15
Domańska, J., Domański, A., Czachórski, T.: Estimating the intensity of long-range dependence in real and synthetic traffic traces. In: Gaj, P., Kwiecień, A., Stera, P. (eds.) CN 2015. CCIS, vol. 522, pp. 11–22. Springer, Cham (2015). doi:10.1007/978-3-319-19419-6_2
Domańska, J., Domański, A.: The influence of traffic self-similarity on QoS mechanism. In: Proceedings of the International Symposium on Applications and the Internet, SAINT, Trento, Italy, pp. 300–303 (2005)
Stallings, W.: High-Speed Networks: TCP/IP and ATM Design Principles. Prentice-Hall, New York (1998)
Norros, I.: On the use of fractional brownian motion in the theory of connectionless networks. IEEE J. Sel. Areas Commun. 13(6), 953–962 (1995)
Erramilli, A., Singh, R., Pruthi, P.: An application of deterministic chaotic maps to model packet traffic. Queueing Syst. 20(1–2), 171–206 (1995)
Harmantzis, F., Hatzinakos, D.: Heavy network traffic modeling and simulation using stable farima processes. In: 19th International Teletraffic Congress, Beijing, China, pp. 300–303 (2005)
Robert, S., Boudec, J.: New models for pseudo self-similar traffic. Perform. Eval. 30(1–2), 57–68 (1997)
Andersen, A.T., Nielsen, B.F.: A Markovian approach for modeling packet traffic with long-range dependence. IEEE J. Sel. Areas Commun. 16(5), 719–732 (1998)
Domańska, J., Domański, A., Czachórski, T.: Modeling packet traffic with the use of superpositions of two-state MMPPs. In: Kwiecień, A., Gaj, P., Stera, P. (eds.) CN 2014. CCIS, vol. 431, pp. 24–36. Springer, Cham (2014). doi:10.1007/978-3-319-07941-7_3
Domańska, J., Domański, A., Czachórski, T.: Internet traffic source based on hidden Markov model. In: Balandin, S., Koucheryavy, Y., Hu, H. (eds.) NEW2AN/ruSMART -2011. LNCS, vol. 6869, pp. 395–404. Springer, Heidelberg (2011). doi:10.1007/978-3-642-22875-9_36
Mandelbrot, B., Ness, J.: Fractional brownian motions, fractional noises and applications. SIAM Rev. 10, 422–437 (1968)
Samorodnitsky, G., Taqqu, M.: Stable Non-Gaussian Random Processes: Stochastic Models with Infinite Variance. Chapman and Hall, New York (1994)
Rutka, G.: Neural network models for internet traffic prediction. Electron. Electr. Eng. 4(68), 55–58 (2006)
Paxson, V.: Fast, approximate synthesis of fractional Gaussian noise for generating self-similar network traffic. ACM SIGCOMM Comput. Commun. Rev. 27(5), 5–18 (1997)
Domański, A., Domańska, J., Czachórski, T.: The impact of the degree of self-similarity on the NLREDwM mechanism with drop from front strategy. In: Gaj, P., Kwiecień, A., Stera, P. (eds.) CN 2016. CCIS, vol. 608, pp. 192–203. Springer, Cham (2016). doi:10.1007/978-3-319-39207-3_17
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this paper
Cite this paper
Domański, A., Domańska, J., Czachórski, T., Klamka, J. (2017). Self-similarity Traffic and AQM Mechanism Based on Non-integer Order \(PI^{\alpha }D^{\beta }\) Controller. In: Gaj, P., Kwiecień, A., Sawicki, M. (eds) Computer Networks. CN 2017. Communications in Computer and Information Science, vol 718. Springer, Cham. https://doi.org/10.1007/978-3-319-59767-6_27
Download citation
DOI: https://doi.org/10.1007/978-3-319-59767-6_27
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-59766-9
Online ISBN: 978-3-319-59767-6
eBook Packages: Computer ScienceComputer Science (R0)