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Trudy Inst. Mat. i Mekh. UrO RAN, 2016, Volume 22, Number 2, Pages 38–46 (Mi timm1288)  

This article is cited in 3 scientific papers (total in 3 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»

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


DOI: https://doi.org/10.21538/0134-4889-2016-22-2-38-46

Full text: PDF file (161 kB)
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English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2017, 299, suppl. 1, 14–21

Bibliographic databases:

Document Type: Article
UDC: 517.977
MSC: 34A37, 49K15, 91B32, 92D25, 93C95
Received: 08.03.2016

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. (Suppl.), 299, suppl. 1 (2017), 14–21

Citation in format AMSBIB
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\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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\jour Proc. Steklov Inst. Math. (Suppl.)
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\pages 14--21
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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. V. F. Vildanova, F. Kh. Mukminov, “Suschestvovanie slabogo resheniya integro-differentsialnogo uravneniya agregatsii”, Differentsialnye i funktsionalno-differentsialnye uravneniya, SMFN, 63, no. 4, Rossiiskii universitet druzhby narodov, M., 2017, 557–572  mathnet  crossref
    2. L. I. Rodina, I. I. Tyuteev, “Ob otsenke srednei vremennoi vygody v veroyatnostnykh ekologo-ekonomicheskikh modelyakh”, Model. i analiz inform. sistem, 25:3 (2018), 257–267  mathnet  crossref
    3. L. I. Rodina, “Optimizatsiya srednei vremennoi vygody dlya veroyatnostnoi modeli populyatsii, podverzhennoi promyslu”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 28:1 (2018), 48–58  mathnet  crossref  elib
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