On Mean Return Time in Queueing System with Constant Service Time and Bi-level Hysteric Policy

Conference paper
Part of the Communications in Computer and Information Science book series (CCIS, volume 356)


Single server queueing system with two Poisson input flows of rate λ 1 and λ 2, finite queue of size R − 1 < ∞ and bi-level hysteretic policy is considered. Customers of λ 1 flow are served with relative priority. Customers of both flows are served with the same constant service time. Bi-level hysteretic policy implies that system may be in three states (normal, overload, blocking), depending on the total number of customers present in it. New method for calculation of mean return time to normal operation state is proposed.


SIP hysteric control constant service rate queueing system mean return time 


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  1. 1.
    ITU-T Recommendation Q.704. Signalling System No.7 – Message Transfer Part, Signalling network functions and messages (1996)Google Scholar
  2. 2.
    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, pp. 533–539 (2012)Google Scholar
  3. 3.
    Hilt, V., Noel, E., Shen, C., Abdelal, A.: Design Considerations for Session Initiation Protocol (SIP) Overload Control. RFC6357 (2011)Google Scholar
  4. 4.
    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., et al. (eds.) BWWQT 2012. CCIS, vol. 356. Springer, Heidelberg (2012)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Peoples Friendship UniversityMoscowRussia
  2. 2.Institute of Informatics Problems of Russian Academy of SciencesMoscowRussia

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