An Analytical Model of a System with Compression and Queuing for Selected Traffic Flows

This article proposes a new analytical model of a queuing system to which a mixture of multi-service traffic is offered. The system under consideration has the advantage of servicing calls, in a shared server, of which only part will be placed in a queue when the server has no free resources (while the remaining part of the calls will be lost). In addition, this model also introduces the possibility for a compression mechanism to be applied for a selected number of data flows. The possibility of simultaneous analysis of the calls that can be placed in the queue as well as of those in which queuing is not implemented, while a certain number of them can be compressed, provides unquestionable advantage to the proposed model. The proposed model can be successfully applied to analyse and model 5G systems.

[1]  A. Chydzinski.  Per-flow structure of losses in a finite-buffer queue , 2022, Appl. Math. Comput..

[2]  Maciej Stasiak,et al.  On Increasing the Accuracy of Modeling Multi-Service Overflow Systems with Erlang-Engset-Pascal Streams , 2021, Electronics.

[3]  Fredrik Tufvesson,et al.  6G Wireless Systems: Vision, Requirements, Challenges, Insights, and Opportunities , 2020, Proceedings of the IEEE.

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

[5]  Lei Xia,et al.  5G Service Based Core Network Design , 2019, 2019 IEEE Wireless Communications and Networking Conference Workshop (WCNCW).

[6]  Velin Andonov,et al.  A Queue in Overall Telecommunication System with Quality of Service Guarantees , 2019, FABULOUS.

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

[8]  Tadeusz Czachorski,et al.  Queueing Models of Traffic Control and Performance Evaluation in Large Internet Topologies , 2018, 2018 IEEE 13th International Scientific and Technical Conference on Computer Sciences and Information Technologies (CSIT).

[9]  Navrati Saxena,et al.  Next Generation 5G Wireless Networks: A Comprehensive Survey , 2016, IEEE Communications Surveys & Tutorials.

[10]  Olubukola A. Isijola-Adakeja,et al.  M/M/1 Multiple Vacation Queueing Systems With Differentiated Vacations and Vacation Interruptions , 2014, IEEE Access.

[11]  Maciej Stasiak,et al.  A Queueing Model of a Multi-Service System with State-Dependent Distribution of Resources for Each Class of Calls , 2014, IEICE Trans. Commun..

[12]  Liam P. Barry,et al.  Overflow traffic moments in channel groups with Bernoulli-Poisson-Pascal (BPP) load , 2013, 2013 IEEE International Conference on Communications (ICC).

[13]  T. Bonald,et al.  Internet and the Erlang formula , 2012, CCRV.

[14]  Mariusz Glabowski,et al.  Compression mechanism for multi-service switching networks with BPP traffic , 2010, 2010 7th International Symposium on Communication Systems, Networks & Digital Signal Processing (CSNDSP 2010).

[15]  Xiaohong Jiang,et al.  Recursive Formula for the Moments of Queue Length in the M/M/1 Queue , 2008, IEEE Communications Letters.

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

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

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

[19]  J. Tyszer.  Object-Oriented Computer Simulation of Discrete-Event Systems , 1999, The Kluwer International Series on Discrete Event Dynamic Systems.

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

[21]  Hamid Ahmadi,et al.  Equivalent Capacity and Its Application to Bandwidth Allocation in High-Speed Networks , 1991, IEEE J. Sel. Areas Commun..

[22]  J. Weissenberg,et al.  Model of a Queuing System With BPP Elastic and Adaptive Traffic , 2022, IEEE Access.

[23]  Maciej Stasiak,et al.  A Model of a System With Stream and Elastic Traffic , 2021, IEEE Access.

[24]  Sonia Aïssa,et al.  Uplink Modeling of $K$ -Tier Heterogeneous Networks: A Queuing Theory Approach , 2017, IEEE Communications Letters.