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Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, 2017, Volume 50, Pages 83–109
DOI: https://doi.org/10.20537/2226-3594-2017-50-08
(Mi iimi349)
 

This article is cited in 9 scientific papers (total in 9 papers)

A model variant of the problem about radiation sources utilization (iterations based on optimization insertions)

A. G. Chentsovab, A. A. Chentsovb

a Ural Federal University, ul. Mira, 19, Yekaterinburg, 600002, Russia
b N. N. Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, ul. S. Kovalevskoi, 16, Yekaterinburg, 620990, Russia
References:
Abstract: The route problem about sequential dismantling of the system of radiating elements is considered. It is assumed that this problem has a sufficiently large dimension, this makes it difficult to find exact solutions and encourages the use of heuristics. It is assumed to use an optimizing insertions with a medium dimension for the improvement of quality of these heuristics, the broadly understood dynamic programming is used within the limits of these insertions. A localization of the insertion is defined with respect to use of preceding conditions. Functions of moving costs and (internal) tasks are connected with an utilization (dismantling) of the radiation sources and are allowed a dependence on the unperformed tasks list: there are radiating only for those sources which are not dismantled at the moment of this moving or performing the task. The exposure of each radiation source which is not dismantled on the personal is inversely to the square of the distance to the radiation source; it is need to integrate this nonlinear dependence for the estimation of the radiation impact at the final stage of movements. Impacts of different radiation sources are summed.
Keywords: route, trace, preceding conditions, dynamic programming.
Funding agency Grant number
Russian Foundation for Basic Research 17-08-01385_а
16-01-00505_а
16-01-00649_а
Received: 16.08.2017
Bibliographic databases:
Document Type: Article
UDC: 519.6
MSC: 97N40
Language: Russian
Citation: A. G. Chentsov, A. A. Chentsov, “A model variant of the problem about radiation sources utilization (iterations based on optimization insertions)”, Izv. IMI UdGU, 50 (2017), 83–109
Citation in format AMSBIB
\Bibitem{CheChe17}
\by A.~G.~Chentsov, A.~A.~Chentsov
\paper A model variant of the problem about radiation sources utilization (iterations based on optimization insertions)
\jour Izv. IMI UdGU
\yr 2017
\vol 50
\pages 83--109
\mathnet{http://mi.mathnet.ru/iimi349}
\crossref{https://doi.org/10.20537/2226-3594-2017-50-08}
\elib{https://elibrary.ru/item.asp?id=32260610}
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  • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta
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