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本文根据环状供水管网的工作特点及工作要求,建立以供水管网总投资最小为目标函数、用户的用水量及要求的工作压力作为约束条件的线性规划数学模型,并采用求解线性规划问题的改进单纯形方法求解,通过逐次迭代计算,计算结果逐渐地逼近最优解。在求解多水源供水管网时,本文引入了多水源附加约束方程,使得计算的迭代次数及收敛速度均得到改善。本文提出的管网优化计算线性规划方法适合于树状网、环状网、树环结合管网均多水源管网的管径优化计算。
Based on the working characteristics and working requirements of the ring-shaped water supply network, this paper establishes a linear programming mathematical model with the total investment of the water supply network as the objective function, the water consumption of the users and the working pressure as the constraints. The linear programming model The improved simplex method to solve, through successive iterative calculations, the results of the gradual approximation of the optimal solution. When solving the multi-water source water supply network, this paper introduces additional constraint equations of multiple water sources, which can improve the number of iterations and the convergence speed. The proposed linear programming method for pipe network optimization calculation is suitable for pipe diameter optimization calculation of multi-water pipe network with tree net, ring net and tree ring combined pipe net.