Abstract
In this paper, we develop a mathematical model of a load control mechanism for SIP server signaling networks based on a hysteretic technique developed for SS7 from ITU-T Recommendation Q.704. 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 in the buffer of total size B – the overload onset threshold H and the overload abatement threshold L. We denote the mathematical model using the modified Kendall notation as an \(M|G|1|\left\langle L,H\right\rangle |B\) queue with hysteretic load control. We also develop an analytical model for the case of an M|M|1 queue and a simulation model for an M|D|1 queue. We investigate the return time from an overload state as the target performance measure of overload control in a SIP server, and provide numerical examples in order to examine the difference between the M|M|1 and M|D|1 systems.
This work was supported in part by the Russian Foundation for Basic Research (grants 10-07-00487-a and 12-07-00108), and by Rosobrazovanie (project no. 020619-1-174).
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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)
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© 2012 Springer-Verlag Berlin Heidelberg
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Abaev, P., Gaidamaka, Y., Samouylov, K.E. (2012). Queuing Model for Loss-Based Overload Control in a SIP Server Using a Hysteretic Technique. In: Andreev, S., Balandin, S., Koucheryavy, Y. (eds) Internet of Things, Smart Spaces, and Next Generation Networking. ruSMART NEW2AN 2012 2012. Lecture Notes in Computer Science, vol 7469. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32686-8_34
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DOI: https://doi.org/10.1007/978-3-642-32686-8_34
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