Abstract: In this paper, we first describe the general principle of dynamic modelling, the effectiveness of which in analyzing the traffic of multiservice networks is one of the main objects of this study. By showing how this technique can be applied to obtain the elementary Markovian system: of the queue M/M/1/∞; we partly answer the big problem on the management of the QoS in the case of an isolated node then of a network. We then focus on the principles of traffic control of multiservice networks, drawing inspiration from existing work in the literature and from policies for managing congestion phenomena defined in recommendations I.371 of the ITU-T and ATM-Forum UNI specification V3.1. As a possible solution to this problem, we have evoked the hypothesis of the reaction to congestion by dynamic traffic compression, in the event of the appearance of a phenomenon of congestion exceeding any prediction. The progress of this hypothesis will have the merit of resurfacing and increasing the interest of resorting to compression as a solution to the problem of congestion, in particular for wireless networks; since radio resources are scarce and shared.