A Model of a System With Stream and Elastic Traffic

This paper presents a multi-service model of a communications system with stream and elastic traffic. The idea of the model is based on an analysis of a two-dimensional Markov process, which approximates the real process in the considered system. Such an approach allows us to describe the use of system resources by stream and elastic traffic with high accuracy. An appropriate simulation model has been developed and implemented in order to verify the proposed model. The presented results have confirmed the validity of all the theoretical assumptions adopted in the study.

[1]  Ioannis D. Moscholios,et al.  Efficient Multirate Teletraffic Loss Models Beyond Erlang , 2019 .

[2]  Thomas Bonald,et al.  Internet and the Erlang formula , 2012, CCRV.

[3]  Maciej Stasiak,et al.  Queueing model of a multi-service system with elastic and adaptive traffic , 2018, Comput. Networks.

[4]  Laurent Massoulié,et al.  A queueing analysis of max-min fairness, proportional fairness and balanced fairness , 2006, Queueing Syst. Theory Appl..

[5]  Mariusz Glabowski,et al.  Asymmetric convolution algorithm for blocking probability calculation in full-availability group with bandwidth reservation , 2008, IET Circuits Devices Syst..

[6]  Anthony C. Boucouvalas,et al.  Blocking probabilities of elastic and adaptive calls in the Erlang multirate loss model under the threshold policy , 2016, Telecommun. Syst..

[7]  Gábor Fodor,et al.  Flow level performance analysis of a multi-service system supporting elastic and adaptive services , 2002, Perform. Evaluation.

[8]  Vassilios G. Vassilakis,et al.  Performance modelling of a multirate loss system with batched Poisson arrivals under a probabilistic threshold policy , 2018, IET Networks.

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

[10]  Jorma T. Virtamo,et al.  A recursive formula for multirate systems with elastic traffic , 2005, IEEE Communications Letters.

[11]  Ugo Mocci,et al.  Broadband Network Teletraffic: Final Report of Action COST 242 , 1996 .

[12]  Maciej Stasiak,et al.  Analytical Model of Traffic Compression in the UMTS Network , 2009, EPEW.

[13]  Maciej Stasiak,et al.  Modelling of the access part of a multi-service mobile network with service priorities , 2015, EURASIP Journal on Wireless Communications and Networking.

[14]  Miklós Telek,et al.  On providing blocking probability and throughput guarantees in a multi-service environment , 2002, Int. J. Commun. Syst..

[15]  A.A. Nilsson,et al.  Tier-based analytical model for adaptive call admission control scheme in a UMTS-WCDMA system , 2005, 2005 IEEE 61st Vehicular Technology Conference.

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

[17]  Mariusz Glabowski,et al.  Modelling overflow systems with distributed secondary resources , 2016, Comput. Networks.

[18]  Maciej Stasiak,et al.  Queuing Systems for the Internet , 2016, IEICE Trans. Commun..

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

[20]  V. Paxson,et al.  Wide-area traffic: the failure of Poisson modeling , 1994, SIGCOMM.

[21]  Mariusz Glabowski,et al.  Modeling and Dimensioning of Mobile Networks: Stasiak/Modeling and Dimensioning of Mobile Networks , 2010 .

[22]  Alexandre Proutière,et al.  Insensitive Bandwidth Sharing in Data Networks , 2003, Queueing Syst. Theory Appl..

[23]  George M. Stamatelos,et al.  Reservation-based bandwidth allocation in a radio ATM network , 1997, TNET.

[24]  Maciej Stasiak,et al.  The Queueing Model of a Multiservice System with Dynamic Resource Sharing for Each Class of Calls , 2013, CN.

[25]  Maciej Stasiak,et al.  Model of a Multiservice Server with Stream and Elastic Traffic , 2019, IP&C.

[26]  Maciej Stasiak,et al.  Analytical Model of the Single Threshold Mechanism with Hysteresis for Multi-Service Networks , 2012, IEICE Trans. Commun..