Closed-form solutions of a fishery harvesting model with state constraint

Alena Puchkova; Volker Rehbock; Kok Lay Teo

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Closed-form solutions of a fishery harvesting model with state constraint

机译：具有状态约束的捕捞模型的闭式解

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摘要

We derive a closed-form solution for a well-known fisheries harvesting model with an additional state constraint. The problem is linear in the control and previous solutions appearing in the literature have been numerical in nature. The so-called direct adjoining approach is used in our derivation and the optimal solutions turn out to be a mixture of bang-bang and boundary arcs.

机译：我们导出了带有其他状态约束的著名渔业捕捞模型的封闭式解决方案。该问题在控制中是线性的，并且文献中出现的先前解决方案本质上是数值的。在我们的推导中使用了所谓的直接邻接法，并且最优解证明是爆炸弧和边界弧的混合。

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来源
《Optimal Control Applications and Methods》 |2014年第4期|共17页
作者
Alena Puchkova; Volker Rehbock; Kok Lay Teo;
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原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
Optimal control computation; Maximum principle; Harvesting;

机译：最优控制计算;最大原理;收获;

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Closed-form solutions of a fishery harvesting model with state constraint

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