|
ИСТИНА |
Войти в систему Регистрация |
ИПМех РАН |
||
On Optimal Harvesting of a Resource on a Circleстатья
Информация о цитировании статьи получена из
Web of Science,
Scopus
Дата последнего поиска статьи во внешних источниках: 30 августа 2018 г.
- Авторы: Zelikin M.I., Lokutsievskiy L.V., Skopintcev S.V.
- Журнал: Math. Notes Mat. Zametki
- Том: 102
- Номер: 4
- Год издания: 2017
- Первая страница: 521
- Последняя страница: 532
- DOI: 10.1134/S0001434617090243
- Аннотация: This paper studies the optimality in the problem of cyclic harvesting of a resource distributed on a circle with a certain prescribed density. The velocity ofmotion of the collecting device and the fraction of the resource harvested at a given time play the role of control. The problem is to choose a control maximizing a given quality functional. The paper presents the maximum principle for this (infinite-dimensional) problem. The maximum principle can be written as two inequalities which can be conveniently verified. The class of problems with a concave profit function is solved completely. At the end of the paper, several examples are considered to illustrate the developed technique.
- Добавил в систему: Локуциевский Лев Вячеславович