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Mathematical Physics and Computer Simulation, 2017, Volume 20, Issue 4, Pages 26–38
DOI: https://doi.org/10.15688/mpcm.jvolsu.2017.4.3
(Mi vvgum194)
 

This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

Optimization and scenario-simulation modelling of the dynamics of the structure of small artificial channels in floodplain areas

V. S. Bakulin, A. Vasilchenko, A. A. Voronin, M. Kharitonov

Volgograd State University
Full-text PDF (635 kB) Citations (1)
References:
Abstract: The purpose of this paper is to study the properties of optimality of local artificial channel systems of floodplain territories. A method for searching the topological structure and cross-sectional area of artificial channels maximizing the total weighted area of the flooded territory is proposed. For the adequacy of the formulation and solution of the control problem, an adaptive zoning of the digital model of the floodplain territory to areas with an insignificant effect of interband flooding at small and medium floods has been carried out. The optimal throughput of small channels was sought with the help of a multi-step recursive dynamic programming method. The results of numerical realization of the algorithm using computer hydrodynamic imitations of flood dynamics and geoinformation modeling of spatially distributed relief parameters of several sections of the territory of the northern part of the Volga-Akhtuba floodplain with artificial local channel systems are presented.
A weighted oriented graph of interfactor interactions determining the flood dynamics of the northern part of the Volga-Akhtuba floodplain was constructed, with the help of which the scenarios for the development of the situation and the dynamics of parameters directly determining the optimal local channel structure were formalized. Subjective estimates of the probability of scenarios and fuzzy estimates of the dynamics of the channel structure parameters are given.
Keywords: structural optimization, dynamic programming, production function, geoinformation modeling, hydrodynamic modeling, flow systems.
Funding agency Grant number
Russian Foundation for Basic Research 16-48-340147
Document Type: Article
UDC: 519.6
BBC: 22.19 + 20.1
Language: Russian
Citation: V. S. Bakulin, A. Vasilchenko, A. A. Voronin, M. Kharitonov, “Optimization and scenario-simulation modelling of the dynamics of the structure of small artificial channels in floodplain areas”, Mathematical Physics and Computer Simulation, 20:4 (2017), 26–38
Citation in format AMSBIB
\Bibitem{BakVasVor17}
\by V.~S.~Bakulin, A.~Vasilchenko, A.~A.~Voronin, M.~Kharitonov
\paper Optimization and scenario-simulation modelling of the dynamics of the structure of small artificial channels in floodplain areas
\jour Mathematical Physics and Computer Simulation
\yr 2017
\vol 20
\issue 4
\pages 26--38
\mathnet{http://mi.mathnet.ru/vvgum194}
\crossref{https://doi.org/10.15688/mpcm.jvolsu.2017.4.3}
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  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Mathematical Physics and Computer Simulation
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    Abstract page:120
    Full-text PDF :45
    References:21
     
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