TY - JOUR N2 - This article proposes an analytical model of a system with priorities servicing a mixture of different elastic traffic streams. The model presented in the article was developed as the extension of earlier works published by the authors. It utilizes the concept of equivalent bandwidth and then, following bandwidth discretization, uses the dependencies introduced on the basis of the assumptions adopted for the generalized Kaufman-Roberts formula and for the model of a full-availability group with traffic compression. The article presents a possibility of using the proposed model to model the radio interface in a multi-service mobile network and provides an example of the above with the interface of an LTE network. Since the proposed model is an approximate one, the results of the calculations are compared with the results of simulations. A comparison of the results confirms an acceptable level of accuracy of the model. The model can be successfully used in the analysis and design of links and nodes of telecommunication and computer networks. L1 - http://www.journals.pan.pl/Content/116289/PDF/11D_263-270_01492_Bpast.No.68-2_30.08.21_K3G_SS_TeX.pdf L2 - http://www.journals.pan.pl/Content/116289 PY - 2020 IS - No. 2 (i.a. Special Section on Computational Intelligence in Communications) EP - 270 DO - 10.24425/bpasts.2020.133111 KW - teletraffic engineering KW - analytical model KW - priorities A1 - Nowak, B. A1 - Piechowiak, M. A1 - Stasiak, M. A1 - Zwierzykowski, P. VL - 68 DA - 30.04.2020 T1 - An analytical model of a system with priorities servicing a mixture of different elastic traffic streams SP - 263 UR - http://www.journals.pan.pl/dlibra/publication/edition/116289 T2 - Bulletin of the Polish Academy of Sciences Technical Sciences ER -