Modelling of Cellular Networks with Traffic Overflow

The paper proposes a new method for modelling multiservice cellular networks with traffic overflow. The proposed method employs a model of Erlang’s Ideal Grading (EIG) with multiservice traffic and differentiated availability. The fundamental advantage of the proposed method, as compared to other relevant methods, is a major simplification in modelling systems with traffic overflow that results from the elimination of the necessity of a determination of the parameters of overflow traffic, that is, the average value and the variance. According to the proposed method, calculations in the overflow system can be reduced to calculations in a system composed of one grading only. The paper presents the method for determining availability in such a grading that models a system with traffic overflow. The results of analytical calculations were compared with the results of simulation experiments. The results of the research study confirm high accuracy of the proposed method.

[1]  Mariusz Glabowski,et al.  Modeling Erlang's Ideal Grading with Multirate BPP Traffic , 2012 .

[2]  Haruo Akimaru,et al.  Teletraffic: Theory and Applications , 1993 .

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

[4]  L. Gimpelson.  Analysis of Mixtures of Wide- and Narrow-Band Traffic , 1965 .

[5]  J. Aein.  A Multi-User-Class, Blocked-Calls-Cleared, Demand Access Model , 1978, IEEE Trans. Commun..

[6]  Arne Jensen,et al.  The life and works of A. K. Erlang , 1960 .

[7]  Mariusz Glabowski,et al.  Modeling of Systems with Overflow Multi-Rate Traffic , 2007, The Third Advanced International Conference on Telecommunications (AICT'07).

[8]  Shun-Ping Chung,et al.  Performance analysis and overflowed traffic characterization in multiservice hierarchical wireless networks , 2005, IEEE Transactions on Wireless Communications.

[9]  M. Glabowski,et al.  Modelling of systems with overflow multi-rate traffic and finite number of traffic sources , 2008, 2008 6th International Symposium on Communication Systems, Networks and Digital Signal Processing.

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

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

[12]  R. Schehrer.  On the Calculation of Overflow Systems with a Finite Number of Sources and Full Availiable Groups , 1978, IEEE Trans. Commun..

[13]  Adam Kaliszan,et al.  Modeling product-form state-dependent systems with BPP traffic , 2010, Perform. Evaluation.

[14]  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..

[15]  Dharma P. Agrawal,et al.  Performance Analysis of a Preemptive and Priority Reservation Handoff Scheme for Integrated Service-Based Wireless Mobile Networks , 2003, IEEE Trans. Mob. Comput..

[16]  Zixiang Xiong,et al.  Optimal Resource Allocation for Wireless Video over CDMA Networks , 2005, IEEE Trans. Mob. Comput..

[17]  John F. Shortle.  An Equivalent Random Method with hyper-exponential service , 2004, Perform. Evaluation.

[18]  Mariusz Glabowski,et al.  Erlang's Ideal Grading in DiffServ modelling , 2011, IEEE Africon '11.

[19]  Erik A. van Doorn,et al.  Blocking probabilities in a loss system with arrivals in geometrically distributed batches and heterogeneous service requirements , 1993, TNET.

[20]  Philippe Godlewski,et al.  Performance of a hierarchical cellular network with mobility-dependent hand-over strategies , 1996, Proceedings of Vehicular Technology Conference - VTC.

[21]  Stephen S. Rappaport,et al.  Personal Communication Systems Using Multiple Hierarchical Cellular Overlays , 1995, IEEE J. Sel. Areas Commun..

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

[23]  Oriol Sallent,et al.  Radio Resource Management Strategies in UMTS , 2005 .

[24]  Antti Toskala,et al.  WCDMA for UMTS: HSPA Evolution and LTE , 2010 .

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

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

[27]  Maciej Stasiak,et al.  Properties of Recurrent Equations for the Full-Availability Group with BPP Traffic , 2012 .

[28]  Vassilios G. Vassilakis,et al.  Call-Level Performance Modelling of Elastic and Adaptive Service-Classes with Finite Population , 2008, IEICE Trans. Commun..

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

[30]  Cynthia S. Hood,et al.  Traffic analysis of a diverse network that overflows dual mode phones , 2000, 2000 IEEE Wireless Communications and Networking Conference. Conference Record (Cat. No.00TH8540).

[31]  Qian Huang,et al.  Approximation of loss calculation for hierarchical networks with multiservice overflows , 2008, IEEE Transactions on Communications.

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

[33]  G. A. Mein,et al.  History and development. , 1992 .

[34]  Mariusz Glabowski,et al.  Modelling of state-dependent multirate systems carrying BPP traffic , 2008, Ann. des Télécommunications.