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.

中文翻译：

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具有均衡控制策略的多用户系统中的节点多流分析

摘要

在多用户网络通信系统数学模型的计算实验框架内，研究电信网络功能指标变化的动态。所提出的算法方案使得可以顺序地形成允许的输出节点多流的逐分量非递减向量。该模型假设不同类型的间隙流的传输是由所有节点沿着所有边数最少的路径同时从所有节点进行的。在计算过程中，每一步均等分配资源，直到网络满载。实验期间获得的结果使得跟踪分配给节点的用于传输某种类型的流的配额值的变化成为可能。所找到的允许的输出节点多流向量可以被视为多用户系统功能的有保证的多标准估计。分析了具有不同结构特征和相同总容量的网络。提供特殊图表。