模糊线性规划在供水管网优化中的应用

Application of the Fuzzy Linear Programming in Water Supply Networks' Optimal Design

供水管网优化设计时,目标函数中某些参数往往是变化的、不确定的,即这些参数具有模糊性。针对这一特点,利用模糊理论建立了管网系统优化设计的模糊线性规划数学模型,在求解模型时,可通过适当的变换,将模糊线性规划问题转化成一般线性规划问题,采用单纯形法求解。与普通线性规划问题相比,这一方法可使设计结果更为符合实际情况。

In the optimal design of water supply networks, some parameters in the target function are vary or unfixed. That is to say, these parameters are fuzzy variables. In accordance with the characteristic, the paper sets up the model on optimal design of water supply networks based on the principle of fuzzy. In the calculation, the model is transformed into an ordinary linear programming model and solved by means of simplex method. Compared with the general linear programming, the results obtained from this method are tally with the actual situation.