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Optimal cyclic harvesting of renewable resource

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Abstract

The paper obtains existence of a solution and necessary optimality conditions for a problem of optimal (long run averaged) periodic extraction of a renewable resource distributed along a circle. The resource grows according to the logistic law, and is harvested by a single harvester periodically moving around the circle.

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References

  1. A. O. Belyakov, A. A. Davydov, and V. M. Veliov, J. Dyn. Control Syst. 21 (3), 475 (2015).

    Article  MathSciNet  Google Scholar 

  2. Ph. J. Cohen and S. J. Foale, Marine Policy 37, 278 (2013).

    Article  Google Scholar 

  3. F. Colonius and W. Kliemann, Appl. Math. Optim. 20 (1), 113 (1989).

    Article  MathSciNet  Google Scholar 

  4. B. O. Koopman, Operat. Res. 5 (5), 613 (1957).

    Article  Google Scholar 

  5. L. D. Stone, Theory of Optimal Search (Academic, New York, 1975).

    MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. Moscow State University, Moscow, Russia

    A. O. Belyakov & A. A. Davydov

  2. National Research Nuclear University “MEPhI”, Moscow, Russia

    A. O. Belyakov

  3. National University of Science and Technology “MISIS”, Moscow, Russia

    A. A. Davydov

  4. Vienna University of Technology, Vienna, Austria

    V. M. Veliov

Authors
  1. A. O. Belyakov
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  2. A. A. Davydov
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  3. V. M. Veliov
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Corresponding author

Correspondence to A. O. Belyakov.

Additional information

The article was translated by the authors.

Published in Russian in Doklady Akademii Nauk, 2017, Vol. 476, No. 4, pp. 371–374.

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Belyakov, A.O., Davydov, A.A. & Veliov, V.M. Optimal cyclic harvesting of renewable resource. Dokl. Math. 96, 472–474 (2017). https://doi.org/10.1134/S1064562417050180

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  • DOI: https://doi.org/10.1134/S1064562417050180

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