Abstract
This paper explores the properties of Euler resource networks that represent homogeneous, symmetrical and quasi-symmetrical resource networks. In the case of small resource amounts, we derive an analytical expression for a unique limit state. In the case of large resource amounts, we establish that the limit state in such a network fully depends on the initial state and obtain corresponding formulas. The limit vector is calculated for the class of initial states preserving network operation rules at all vertices. For the other initial states, a recursive algorithm is suggested for reducing them to the former class.
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Original Russian Text © L.Yu. Zhilyakova, 2013, published in Upravlenie Bol’shimi Sistemami, 2013, No. 41, pp. 28–50.
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Zhilyakova, L.Y. A study of Euler resource networks. Autom Remote Control 75, 2248–2261 (2014). https://doi.org/10.1134/S0005117914120145
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DOI: https://doi.org/10.1134/S0005117914120145