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通常采用基于梯度的数学规划方法求解地下水管理模型,如线性规划和非线性规划。但对于高度非线性、非凸的优化问题,尤其是涉及到经济或环境的地下水管理模型,传统方法难以有效地寻找全局最优解。本文介绍了一种求解非线性地下水资源管理模型的遗传算法,并以山东羊庄盆地分布参数地下水系统非线性管理模型为例,给出了用遗传算法在求解这类问题的一般步骤。结果表明该方法能快速有效地找到全局最优解。
Groundwater management models, such as linear programming and nonlinear programming, are often solved using a gradient-based mathematical programming approach. But for the highly nonlinear and non-convex optimization problems, especially for the economic or environmental groundwater management models, the traditional method can not find the global optimal solution effectively. This paper introduces a genetic algorithm for solving nonlinear groundwater resource management model. Taking the nonlinear management model of distributed parameters groundwater system in Yangzhuang basin of Shandong as an example, this paper gives the general steps of using genetic algorithm to solve this kind of problem. The results show that this method can find the global optimal solution quickly and effectively.