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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2016, Volume 22, Number 2, Pages 38–46
DOI: https://doi.org/10.21538/0134-4889-2016-22-2-38-46 (Mi timm1288) 		 
This article is cited in 22 scientific papers (total in 23 papers)

Efficiency optimization for the cyclic use of a renewable resource

A. Belyakovab, A. A. Davydovc

a National Engineering Physics Institute "MEPhI", Moscow
b Lomonosov Moscow State University
c National University of Science and Technology «MISIS»
Full-text PDF (161 kB) Citations (23) English version article
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DOI: https://doi.org/10.21538/0134-4889-2016-22-2-38-46
Abstract: We consider a periodic impulse harvesting of a renewable resource distributed in a domain of the arithmetic space and obeying the logistic growth low. We prove that for a given harvesting effort there exists an appropriate stationary distribution of the effort in the resource domain providing the maximum efficiency of the harvesting at infinite horizon, where the efficiency is the ratio of the harvesting profit to the total effort applied.
Keywords: renewable resource, logistic low, harvesting effort, cyclic process, optimal exploitation.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-08075а
Ministry of Education and Science of the Russian Federation 1.638.2016
Received: 08.03.2016
English version:
Proceedings of the Steklov Institute of Mathematics (Supplement Issues), 2017, Volume 299, Issue 1, Pages S14–S21
DOI: https://doi.org/10.1134/S0081543817090036
Bibliographic databases:
Document Type: Article
UDC: 517.977
MSC: 34A37, 49K15, 91B32, 92D25, 93C95
Language: Russian
Citation: A. Belyakov, A. A. Davydov, “Efficiency optimization for the cyclic use of a renewable resource”, Trudy Inst. Mat. i Mekh. UrO RAN, 22, no. 2, 2016, 38–46; Proc. Steklov Inst. Math., 299, suppl. 1 (2017), S14–S21
Citation in format AMSBIB
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\by A.~Belyakov, A.~A.~Davydov
\paper Efficiency optimization for the cyclic use of a renewable resource
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\vol 22
\issue 2
\pages 38--46
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\crossref{https://doi.org/10.21538/0134-4889-2016-22-2-38-46}
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\jour Proc. Steklov Inst. Math.
\yr 2017
\vol 299
\issue , suppl. 1
\pages S14--S21
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85042155141}
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    • This publication is cited in the following 23 articles:
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