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Application of Erlang’s formula for non-Poisson flows

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Abstract

An improved method of equivalent random traffic (ERT) has been developed, thus making it possible to compute the parameters of splitting flows of calls, which makes it different from the classical ERT method operating only with combined flows of calls. The numerical analysis indicated that this method has an increased accuracy for independent flows. For dependent flows, the approximation’s accuracy is reduced, and the correlation between them should be taken into account.

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References

  1. Iversen, V.B., Teletraffic Engineering and Network Planning, 2006, http://www.com.dtu.dk/education/34340/

  2. Riordan, J., Derivation of Moments of Overflow Traffics, Bell System Tech. J. 1956, vol. 35, 507511.

    Google Scholar 

  3. Rapp, Y.K., Planning of Junction Network in a Multi-Exchange Area, Ericsson Technics, 1964, vol. 20, no. 1, pp. 77–130.

    Google Scholar 

  4. Szybicki, E., Numerical Methods in the Use of Computers for Telephone Traffic Theory Applications, Ericsson Technics, 1967, vol. 23, no. 4, pp. 439–475.

    Google Scholar 

  5. Hedberg, I., A Simple Extension of the Erlang Loss Formula with Continuous First Order Partial Derivatives, L.M. Ericsson, Internal Report XF/Sy 81 171.

  6. Schneps-Schneppe, M. and Sedols, J., On Erlang B-Formula and ERT Method Extension, Proc. International Congress on Ultra Modern Telecomm. Control Syst. Workshops (ICUMT), (ICUMT-2010), Moscow, 2010.

  7. Wilkinson, R.I., Theories for Toll Traffic Engineering in the USA, The Bell System Tech. J., 1956, vol. 35, pp. 421–514.

    MathSciNet  Google Scholar 

  8. Bretschneider, G., Die Berechnung von Leitungsgruppen fur uberfliessenden Verkehr in Fernsprechwahlangen, Nachr. Techn. Zeitschrifift, 1956, vol. 9, pp.533–540.

    Google Scholar 

  9. Fredericks, A.A., Congestion in Blocking Systems—a Simple Approximation Technique, The Bell System Tech. J., 1980, vol. 59, no. 6, pp. 805–827.

    MATH  Google Scholar 

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Correspondence to M. A. Schneps-Schneppe.

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Original Russian Text © M.A. Schneps-Schneppe, J.J. Sedols, 2011, published in Avtomatika i Vychislitel’naya Tekhnika, 2011, No. 2, pp. 36–45.

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Schneps-Schneppe, M.A., Sedols, J.J. Application of Erlang’s formula for non-Poisson flows. Aut. Conrol Comp. Sci. 45, 86–93 (2011). https://doi.org/10.3103/S0146411611020064

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  • DOI: https://doi.org/10.3103/S0146411611020064

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