Abstract
Transient state queueing models help us to understand better the dynamics of internet transmissions and the performance of traffic control algorithms. Fluid flow approximation, due its simplicity, as it is based on first-order differential equations, is popular and frequently used – but even it, if applied to large topologies, is time and space consuming. Its algorithm is based on iterative calculations on large mutually interdependent structures. In consequence, the bottleneck of the method lies not in numerical computations but in storing and selection of data. This is why we investigate an approach in which a database (SAP HANA) and its language are used to implement the method. The model logic is represented by ETL (Extract, Transform and Load) customizable and user-friendly processes. The numerical examples are based on a real topology having over 100 000 nodes.
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References
Braden, B., et al.: Recommendations on queue management and congestion avoidance in the internet. RFC 2309, IETF (1998)
Domański, A., Domańska, J., Pagano, M., Czachórski, T.: The fluid flow approximation of the TCP vegas and reno congestion control mechanism. In: Czachórski, T., Gelenbe, E., Grochla, K., Lent, R. (eds.) ISCIS 2016. CCIS, vol. 659, pp. 193–200. Springer, Cham (2016). doi:10.1007/978-3-319-47217-1_21
Gelenbe, E.: On approximate computer systems models. J. ACM 22(2), 261–269 (1975)
Hollot, C.V., Misra, V., Towsley, D., et al.: A control theoretic analysis of RED. In: Proceedings of IEEE/INFOCOM (2001)
Hollot, C.V., Misra, V., Towsley, D., Dong, W.B.: Analysis and design of controllers for AQM routers supporting TCP flows. IEEE Trans. Autom. Control 47(6), 945–959 (2002). Special issue on Systems and Control Methods for Communication Networks
Hollot, C.V., Liu, Y., Misra, V., Towsley, D., et al.: Unresponsive flows and AQM performance. In: Proceedings of IEEE INFOCOM (2003)
Liu, Y., Presti, F.L., Misra, V., Towsley, D., Gu, Y.: Fluid models and solutions for large-scale IP networks. ACM/SigMetrics 31, 91–101 (2003)
Misra, V., Gong, W.B., Towsley, D.: A fluid-based analysis of a network of AQM routers supporting TCP flows with an application to RED. In: Conference on Applications, Technologies, Architectures and Protocols for Computer Communication (SIGCOMM 2000), pp. 151–160 (2000)
Gephi: The Open Graph Viz Platform. http://gephi.github.io/
Nycz, M., Nycz, T., Czachórski, T.: An analysis of the extracted parts of opte internet topology. In: Gaj, P., Kwiecień, A., Stera, P. (eds.) CN 2015. CCIS, vol. 522, pp. 371–381. Springer, Cham (2015). doi:10.1007/978-3-319-19419-6_35
Nycz, M., Nycz, T., Czachórski, T.: Modelling dynamics of TCP flows in very large network topologies. In: Abdelrahman, O.H., Gelenbe, E., Gorbil, G., Lent, R. (eds.) ISCIS 2015. LNEE, vol. 363, pp. 251–259. Springer, Cham (2016). doi:10.1007/978-3-319-22635-4_23
Nycz, M., Nycz, T., Czachórski, T.: Fluid-flow approximation in the analysis of very large energy-aware networks, submitted
Ogata, K.: Modern Control Engineering. Prentice Hall of India, New Dehli (1977)
SAP HANA Platform - Capabilites. http://hana.sap.com/capabilities.html
SAP Data Services. http://hana.sap.com/capabilities.html
Sridharan, M., et al.: Tuning RED parameters in satellite networks using control theory. In: Proceedings of Performance and Control of Next Generation Communication Networks, SPIE, Orlando Florida, 7–11 September 2003, vol. 5244, pp. 145–153 (2003)
Srikant, R.: The Mathematics of Internet Congestion Control. Springer Series: Systems and Control: Foundations and Applications. Birkhäuser, Boston (2004)
Li, W., Zeng-zi, L., Yan-ping, C., Ke, X.: Fluid-based stability analysis of mixed TCP and UDP traffic under RED. In: Proceedings of the 10th International Conference on Engineering of Complex Computer Systems (ICECCS) (2005)
Acknowledgments
This work was supported by a grant Fluid-Flow Approximation using ETL Process and SAP HANA Platform of Hasso-Plattner-Institute (HPI) in Potsdam, Germany and makes contribution to the researches of the COST ACROSS Autonomous Control for a Reliable Internet of Services project.
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Nycz, M., Nycz, T., Czachórski, T. (2017). Performance Modelling of Transmissions in Very Large Network Topologies. In: Vishnevskiy, V., Samouylov, K., Kozyrev, D. (eds) Distributed Computer and Communication Networks. DCCN 2017. Communications in Computer and Information Science, vol 700. Springer, Cham. https://doi.org/10.1007/978-3-319-66836-9_5
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DOI: https://doi.org/10.1007/978-3-319-66836-9_5
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