给水管网非线性规划的新模型

本文发展了一个确定了给水管网道道直径，水泵扬程，水塔尺寸的最优设计非线性规划模型，提出了将管网不等式约束非线性规划转换为无约束规划问题的变量代换法，求解目标函数广义简约梯度的广义节点法，并采用ＰＲＰ共轭梯度法求解管网非线性规划问题，计算结果表明模型的求解速度比现有同类型非线性管网模型快数十倍。占用计算机内存较少，程序较简单，适用于各种给水管网。

A new nonlinear programming model for water distribution networks

A new nonlinear programming model is developed to determine the optimal designs of water distribution networks.A transformation is suggested to transfer the nonlinear programmings with constraints into those without constraint which can be solved by Polak- mbiere-Polyak conjugate gradient method. For solving the generalized reduced gradient of the objective function, a generalized nodal mothod has been suggested. Two examples show that, the computational time of the model proposed is about one tsnth, even one hundredth, of the previous models,the data is easily prepared and the computer program is simple.