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广义简约梯度法（ＧＲＧ）是非线性规划算法中最有效的算法之一，本文把图论应用于广义简约梯度法优化的过程中，使输入简便，计算简化，应用ＧＲＧ算法对武汉市的汉阳管网进行了模拟优化设计，并对管段的计算管径用线性规划法进行标准化，取得了满意的结果．
The Generalized Reduced Gradient Method (GRG) is one of the most effective algorithms in the nonlinear programming algorithm. This paper applies the graph theory to the process of generalized reduced-gap gradient optimization to make the input simple, simplify the calculation, and apply the GRG algorithm to Wuhan Hanyang Tube. The network was simulated and optimized. The calculation of pipe diameters was standardized by the linear programming method. Satisfactory results were obtained.