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In this paper, a general description of the problem of calculating probability–time characteristics was presented. At the initial stage of studying this problem, we studied the asynchronous data transmission of the constituent broadband digital network with the integration of services for both the channel switching subnetwork and the packet switching subnetwork. And also the circuit switching subnetwork was investigated using the bypass of the direction of transmission of the stream of multi-channel calls. At the same time, the source data of the problem of calculating probabilistic characteristics were set for the channel switching subnetwork, the characteristics that were determined during the solution of the problem were listed, and some assumptions were described that made it possible to adequately approximate the study of such a model to the functioning of a real network. Next, a mathematical model for calculating the loss probabilities was described, both for communication channels and for nodes of the channel switching subnetwork included in the asynchronous transfer mode network. The model of information traffic transmission is presented, where the method is implemented using network bypass directions. A method has been developed for generating a nodal load of a channel switching subnet and a system of equations has been obtained, the solution of which determines the value of a nodal load relative to the probability of loss on communication channels and proved the uniqueness of the solution of this system of equations.