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JOURNALS // Upravlenie Bol'shimi Sistemami // Archive

UBS, 2010 Issue 30.1, Pages 640–664 (Mi ubs516)

This article is cited in 2 papers

Network-centered Management and Multi-agent Systems

Complete bidirectional networks of arbitrary conductivity

O. P. Kuznetsova, L. Yu. Zhilyakovab

a Institute of Control Sciences of RAS
b Pedagogical Institute SFedU

Abstract: The resource network is a flow model represented by an oriented weighted graph in which any two vertices are either not adjacent or connected by a pair of oppositely directed edges. Vertices can contain unlimited amount of resource. The weights of edges indicate the ability to conduct resource from one vertex to the other. The processes of the dynamic distribution of resources in bidirectional complete networks with arbitrary capacity and their stabilization conditions are considered.

Keywords: resource network, network capacity, limit state, attractor.

UDC: 519.179.2
BBK: 22.176



© Steklov Math. Inst. of RAS, 2025