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.

About the authors

A. O. Belyakov

Moscow State University; National Research Nuclear University “MEPhI”

Author for correspondence.
Email: a_belyakov@inbox.ru
Russian Federation, Moscow; Moscow

A. A. Davydov

Moscow State University; National University of Science and Technology “MISIS”

Email: a_belyakov@inbox.ru
Russian Federation, Moscow; Moscow

V. M. Veliov

Vienna University of Technology

Email: a_belyakov@inbox.ru
Austria, Vienna

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