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在天然气工程中，勘察设计获得输气线路的基本数据资料后，将面临如何连接各节点使整个管网布局最合理的问题。当穿越城市较多，地形起伏复杂，可供选择的线路方案就有若干个，而所需要的最优化路线方案却只有一个。为此，提出应用Hopfield神经网络优化方法来求解天然气输气管网规划问题。通过分析输气管网最优化布局问题，确定了模型的目标函数和约束条件，建立了Hopfield神经网络的能量函数模型，得出网络收敛的动态方程，求解使能量函数达到极小点时的状态点，即输气管网的最优化布局方案。研究表明，应用Hopfield神经网络方法可以得到输气管网布局优化问题的有效解。

LAYOUT OPTIMIZATION OF GAS TRANSMISSION SYSTEM BY HOPFIELD NEURAL NETWORK 2)

The problem how to connect the all node points to make the layout of gas transmission system reasonable should be solved after the basic data are obtained for design in the gas industry. When the pipeline route goes through many cities, the route’s terrain is irregular and complicated, and several programs can be selected for the route, only the program that is optimized should be used. So, it is proposed the Hopfield neural network is applied to solve the problem for the program of gas transmission system. With analysis of layout optimization of gas transmission system, the objective function and the constraint conditions of the model are determined. The energy function model of Hopfield neural network is set up. The dynamic equation of the network convergence is obtained. The equation is solved for the minimum point of energy function, at which the optimal layout program of gas transmission system is.  The study shows with the Hopfield neural network method, the effective solution can be achieved for the layout optimization of the gas transmission system.