In this paper, we present an optimization model for the management of the green area in order to find the optimal green surface to absorb CO₂ emissions of industrialized cities. We obtain a minimization problem and the related variational inequality. We study the Lagrange theory to better understand the process that regulates the possible increase in green space. Then, we propose a computational procedure, based on the Euler method, to find the optimal solution to the variational inequality associated with our minimization problem and, finally, some numerical examples based on real scenarios.

中文翻译：

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绿地管理优化模型

在本文中，我们提出了绿地管理的优化模型，以寻找吸收工业化城市CO ₂排放的最佳绿地表面。我们得到一个最小化问题和相关的变分不等式。我们研究了拉格朗日理论，以更好地了解调节绿色空间可能增加的过程。然后，我们提出了一个基于欧拉方法的计算程序，以找到与我们的最小化问题相关的变分不等式的最优解，最后，一些基于真实场景的数值例子。