Abstract
In this paper, we develop a mathematical model of a load control mechanism for SIP server signaling networks based on a hysteretic technique. We investigate loss-based overload control, as proposed in recent IETF documents. The queuing model takes into account three types of system state – normal load, overload, and discard. The hysteretic control is made possible by introducing two thresholds, L and H, in the buffer of total size R. We denote the mathematical model using the modified Kendall notation as an \(MMPP|M|1|\left\langle L,H\right\rangle |R\) queue with hysteretic load control and bursty input flow. Algorithms for computation the key performance parameters of the system were obtained. A numerical example illustrating the control mechanism that minimizes the return time from overloading states satisfying the throttling and mean control cycle time constraints is also presented.
This work was supported in part by the Russian Foundation for Basic Research (grants 12-07-00108 and 13-07-00665).
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References
Rosenberg, J., Schulzrinne, H., Camarillo, G., et al.: SIP: Session Initiation Protocol. RFC3261 (2002)
Rosenberg, J.: Requirements for Management of Overload in the Session Initiation Protocol. RFC5390 (2008)
Hilt, V., Noel, E., Shen, C., Abdelal, A.: Design Considerations for Session Initiation Protocol (SIP) Overload Control. RFC6357 (2011)
Gurbani, V., Hilt, V., Schulzrinne, H.: Session Initiation Protocol (SIP) Overload Control. draft-ietf-soc-overload-control-08 (2012)
Abaev, P., Gaidamaka, Y., Samouylov, K.E.: Modeling of Hysteretic Signaling Load Control in Next Generation Networks. In: Andreev, S., Balandin, S., Koucheryavy, Y. (eds.) NEW2AN/ruSMART 2012. LNCS, vol. 7469, pp. 440–452. Springer, Heidelberg (2012)
Bali, S., Victor, S.: Frost An Algorithm for Fitting MMPP to IP Traffic Traces. IEEE Communication Letters 11(2), 207–209 (2007)
Abaev, P., Gaidamaka, Y., Pechinkin, A., Razumchik, R., Shorgin, S.: Simulation of overload control in SIP server networks. In: Proc. of the 26th European Conference on Modelling and Simulation, ECMS 2012, pp. 533–539 (2012)
Abaev, P., Pechinkin, A., Razumchik, R.: On analytical model for optimal sip server hop-by-hop overload control. In: Proc. of the 4th International Congress on Ultra Modern Telecommunications and Control Systems, ICUMT 2012, pp. 303–308 (2012)
Abaev, P., Pechinkin, A., Razumchik, R.: Analysis of queueing system with constant service time for SIP server hop-by-hop overload control. In: Dudin, A., Klimenok, V., Tsarenkov, G., Dudin, S. (eds.) BWWQT 2013. CCIS, vol. 356, pp. 1–10. Springer, Heidelberg (2013)
Bocharov, P.P., DÁpice, C., Pechinkin, A.V., Salerno, S.: Queueing theory. Series ”Modern Probability and Statistics”. VSP Publishing, Utrecht (2003)
Latouche, G., Ramaswami, V.: Introduction to matrix analytic methods in stochastic modeling. SIAM, Philadelphia (1999)
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Abaev, P., Razumchik, R.V. (2013). Queuing Model for SIP Server Hysteretic Overload Control with Bursty Traffic. In: Balandin, S., Andreev, S., Koucheryavy, Y. (eds) Internet of Things, Smart Spaces, and Next Generation Networking. ruSMART NEW2AN 2013 2013. Lecture Notes in Computer Science, vol 8121. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-40316-3_34
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DOI: https://doi.org/10.1007/978-3-642-40316-3_34
Publisher Name: Springer, Berlin, Heidelberg
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