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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive

Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2021 Volume 192, Pages 117–124 (Mi into788)

Regular periodic dynamic resource networks

V. A. Skorokhodov, D. O. Sviridkin

Southern Federal University, Rostov-on-Don

Abstract: A model of resource flow distribution in a dynamic periodic resource network is examined. Methods for finding the limiting state (distribution) of a resource in a dynamic resource network are developed. It is proved that for regular periodic dynamical networks, the limit state exists and is unique and can be found by methods developed for dynamic networks.

Keywords: dynamic network, regular resource network, resource flow, flow distribution, threshold value, limit state.

UDC: 519.1

MSC: 05C21, 05C50, 90B10

DOI: 10.36535/0233-6723-2021-192-117-124



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© Steklov Math. Inst. of RAS, 2024