This article is cited in 1 paper

Network-based models in Control

Resource networks with the capacity limitations on attractor-vertices. formal characteristics

L. Yu. Zhilyakova

Institute of Control Sciences of RAS

Abstract: We study the resource redistribution in networks with capacity limitations on so-called attractor-vertices. The stability of the processes for any total amount of resource in such networks is proved. We formulate the criterion of secondary attractivity, and find vectors of limit flow and limit state, formula for the second threshold value of resource ТII. As indirect results we get several additional characteristics of networks with limitations and without them.

Keywords: resource network, graph dynamic threshold model, attractors, capacity limitation.

UDC: 519.177
BBK: 22.18

Received: August 20, 2015
Published: January 31, 2016

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