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Vestnik Yuzhno-Ural'skogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie, 2022, Volume 15, Issue 3, Pages 83–95
DOI: https://doi.org/10.14529/mmp220306
(Mi vyuru651)
 

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

Mathematical Modeling

On one routing problem oriented on the problem of dismantling radiation-hazardous objects

A. G. Chentsovab, A. A. Chentsova

a N.N. Krasovskii Institute of Mathematics and Mechanics, Yekaterinburg
b Ural Federal University, Yekaterinburg, Russian Federation
Full-text PDF (293 kB) Citations (1)
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Abstract: We consider a problem of sequential visiting of megalopolises under the preceding conditions and costs functions depending on the list of tasks currently unfulfilled. Selection of a routing process involving index permutation, trajectory and starting point is optimized; point of finish is optimized also. We use additive criterion consisting in summary costs of external (as for megalopolises) movings, costs of works related to visiting of megalopolises and assessments of the terminal state. Procedure of construction of optimal solution based on widely understood dynamic programming is investigated. The statement is focused on the problem of dismantling the system of radiation–hazardous sources; at the same time, it is assumed that not all sources are dismantled (it is possible when workers receive maximum doses of radiation), which requires evacuation in conditions of radiation exposure of sources that remain undismantled. A specific variant of the criterion is reduced to the summary dose of radiation received by an employee both at the stage of dismantling and at the stage of evacuation. An algorithm based on the theoretical constructions is proposed and realized on personal computer; a computational experiment is completed.
Keywords: route, trace, preceding conditions, dynamic programming.
Funding agency Grant number
Russian Foundation for Basic Research 20-08-00873
Received: 06.04.2022
Document Type: Article
UDC: 519.6
MSC: 90C27
Language: Russian
Citation: A. G. Chentsov, A. A. Chentsov, “On one routing problem oriented on the problem of dismantling radiation-hazardous objects”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 15:3 (2022), 83–95
Citation in format AMSBIB
\Bibitem{CheChe22}
\by A.~G.~Chentsov, A.~A.~Chentsov
\paper On one routing problem oriented on the problem of dismantling radiation-hazardous objects
\jour Vestnik YuUrGU. Ser. Mat. Model. Progr.
\yr 2022
\vol 15
\issue 3
\pages 83--95
\mathnet{http://mi.mathnet.ru/vyuru651}
\crossref{https://doi.org/10.14529/mmp220306}
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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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