Erlang's Ideal Grading in DiffServ modelling

Traffic overflow is one of the most effective mechanisms of the management of traffic distribution in telecommunications systems. The paper considers a possibility of using traffic overflow in present-day IP networks. Additionally, a new simplified method for the calculation of the blocking probability in overflow systems is proposed in the paper. The method is based on the model of Erlang's Ideal Grading (EIG) with multi-rate (multi-service) traffic and different availabilities. The method does not require calculations of the parameters of overflow traffic and its accuracy is not lower than the accuracy of other methods for the calculation of overflow systems with multi-rate traffic available in the literature of the subject. The results of the analytical calculations have been compared with the results of the simulations, which has confirmed the high accuracy of the proposed model.

[1]  J. Kaufman,et al.  Blocking in a Shared Resource Environment , 1981, IEEE Trans. Commun..

[2]  A. A. Fredericks Congestion in blocking systems — a simple approximation technique , 1980, The Bell System Technical Journal.

[3]  Ilkka Nomos On the Use of Fractional Brownian Motion in the Theory of Connectionless Networks , 1995 .

[4]  Joseph Y. Hui Resource allocation for broadband networks , 1988, IEEE J. Sel. Areas Commun..

[5]  Jorma Virtamo,et al.  Broadband Network Traffic , 1996, Lecture Notes in Computer Science.

[6]  Maciej Stasiak An approximate model of a switching network carrying mixture of different multichannel traffic streams , 1993, IEEE Trans. Commun..

[7]  R. I. Wilkinson Theories for toll traffic engineering in the U. S. A. , 1956 .

[8]  J. S. Kaufman,et al.  Blocking in a Shared Resource Environment with Batched Poisson Arrival Processes , 1996, Perform. Evaluation.

[9]  Qian Huang,et al.  An Approximation Method for Multiservice Loss Performance in Hierarchical Networks , 2007, International Teletraffic Congress.

[10]  Joachim Charzinski,et al.  Evaluation of Effective Bandwidth Schemes for Self-Similar Traffic , 2000 .

[11]  S. Hanczewski,et al.  A model of WCDMA radio interface with reservation , 2008, 2008 International Symposium on Information Theory and Its Applications.

[12]  L. Delbrouck On the Steady-State Distribution in a Service Facility Carrying Mixtures of Traffic with Different Peakedness Factors and Capacity Requirements , 1983, IEEE Trans. Commun..

[13]  Mariusz Glabowski,et al.  Modeling of systems with overflow multi-rate traffic , 2007, The Third Advanced International Conference on Telecommunications (AICT'07).

[14]  Frank P. Kelly,et al.  Effective bandwidths at multi-class queues , 1991, Queueing Syst. Theory Appl..

[15]  Nicola J. Robertson,et al.  A loss network model with overflow for capacity planning of a neonatal unit , 2010, Ann. Oper. Res..

[16]  Ilkka Norros,et al.  On the Use of Fractional Brownian Motion in the Theory of Connectionless Networks , 1995, IEEE J. Sel. Areas Commun..

[17]  Maciej Stasiak,et al.  Approximation for Multi-service Systems with Reservation by Systems with Limited-Availability , 2008, EPEW.

[18]  Nelson Luis Saldanha da Fonseca,et al.  On the equivalent bandwidth of self-similar sources , 2000, TOMC.