Regular periodic dynamic resource networks
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh spring mathematical school “Modern methods of the theory of boundary-value problems. Pontryagin readings – XXX”. Voronezh, May 3-9, 2019. Part 3, Tome 192 (2021), pp. 117-124
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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.
@article{INTO_2021_192_a12,
author = {V. A. Skorokhodov and D. O. Sviridkin},
title = {Regular periodic dynamic resource networks},
journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
pages = {117--124},
year = {2021},
publisher = {mathdoc},
volume = {192},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/INTO_2021_192_a12/}
}
TY - JOUR AU - V. A. Skorokhodov AU - D. O. Sviridkin TI - Regular periodic dynamic resource networks JO - Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory PY - 2021 SP - 117 EP - 124 VL - 192 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/INTO_2021_192_a12/ LA - ru ID - INTO_2021_192_a12 ER -
%0 Journal Article %A V. A. Skorokhodov %A D. O. Sviridkin %T Regular periodic dynamic resource networks %J Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory %D 2021 %P 117-124 %V 192 %I mathdoc %U http://geodesic.mathdoc.fr/item/INTO_2021_192_a12/ %G ru %F INTO_2021_192_a12
V. A. Skorokhodov; D. O. Sviridkin. Regular periodic dynamic resource networks. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh spring mathematical school “Modern methods of the theory of boundary-value problems. Pontryagin readings – XXX”. Voronezh, May 3-9, 2019. Part 3, Tome 192 (2021), pp. 117-124. http://geodesic.mathdoc.fr/item/INTO_2021_192_a12/