Dynamic optimization (DO) has been applied to aquaculture industry to determine optimal management strategies of aquaculture production systems. Optimal control of feeding, optimal stocking successions, and harvesting time among other factors has been studied. This work shows a review of the application of optimal control theory (OCT) and dynamic programming in economics and management of aquaculture. The Pontriagyn's maximum principle and the Bellman's optimality are the most commonly used mechanisms to solve control problems that optimize the producer's benefit or cost. Recently, model-based predictive control has also been applied. Such tools have been used in aspects involving the design, planning, and monitoring of variables relevant to the optimal management of the culture system. It was found that in aquaculture there is low scientific productivity in the application of DO in bioeconomic models. In this review, an example of OCT applied to the control of feeding of farmed tilapia using a bioeconomic model is shown. DO represents a useful tool for optimal decision-making and this review discusses the implications of the use of DO in aquaculture and recommendations for its use in the future.

中文翻译：

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水产养殖生产经济学动态优化综述


动态优化（DO）已应用于水产养殖业，以确定水产养殖生产系统的最佳管理策略。对饲喂、最佳放养顺序和收获时间等因素的最佳控制进行了研究。本文回顾了最优控制理论（OCT）和动态规划在水产养殖经济和管理中的应用。庞特里亚金最大值原理和贝尔曼最优性是解决优化生产者利益或成本的控制问题的最常用机制。最近，基于模型的预测控制也得到了应用。这些工具已用于涉及与文化系统优化管理相关的变量的设计、规划和监控等方面。研究发现，在水产养殖中，DO 在生物经济模型中的应用科学生产力较低。在这篇综述中，展示了一个使用生物经济模型将 OCT 应用于控制养殖罗非鱼饲养的例子。 DO 是最佳决策的有用工具，本综述讨论了水产养殖中使用 DO 的影响以及对其未来使用的建议。