Analysis of Nodal Multiflows in a Multiuser System with Equalizing Control Strategies

Abstract

Within the framework of computational experiments on a mathematical model of a multiuser network communication system, the dynamics of changes in the indicators of the functioning of a telecommunications network are studied. The proposed algorithmic scheme makes it possible to sequentially form component-by-component nondecreasing vectors of permissible outgoing nodal multiflows. The model assumes that the transmission of interstitial flows of different types is carried out simultaneously from all nodes by all nodes along all routes with the minimum number of edges. During the calculations, resources are distributed in equal shares at each step until the network is fully loaded. The results obtained during the experiments make it possible to trace changes in the values of quotas distributed to the nodes for transmitting a certain type of flow. The found vectors of allowable outgoing nodal multiflows can be considered as guaranteed multicriterial estimates of the functioning of a multiuser system. Networks with different structural features and equal total capacity are analyzed. Special diagrams are provided.