Mathematical theory of teletraffic and its application to the analysis of multiservice communication of next generation networks

This paper presents a survey of the authors results to discuss the model of a multiservice network with "triple play" (unicast, multicast, and elastic) traffic. The main results are given for the model with multicast traffic. Two service disciplines for multicast traffic are considered in the form of systems with transparent requests. An algorithm for the calculation of the blocking probabilities for models involving both unicast and multicast traffic is proposed. In conclusion, the lines of further research are outlined: the analysis of models of the session initiation protocol (SIP), including design problems to control overloads in SIP server networks, the planning of cross-layer interfaces for orthogonal frequency division multiplexing in mobile networks long term evolution (LTE), and the design of methods for the analysis of the quality factors of the file exchange and streaming in peer-to-peer (P2P) networks. © 2013 Allerton Press, Inc.