确定管线造价公式的最佳拟合参数

Optimum Fitting Coefficients of Formula for Pipe Line Cost

本文采用幂函数曲线回归,用三参数完全最小二乘法逼近,导出了用以求解管线造价公式中常系数A、B、α的方程组,从而使计算结果达到了最佳拟合。由于计算方法和程序结构的改进,使计算精度和效率大幅度提高,为管网的优化设计提供了一个更为合理的基础方法和相应的程序结构.

Since the traditional methods using linear regression with the minimax approximation of the correlation coefficient or the probabilistic remainder error have not been good enough to find the optimum fitting coefficients A,B and a in the formula for pipe line cost, a better method to determine the optimum fitting coefficients is presented in this paper.The method is the power function curve regression with three-parameter complete least squares approximation.BASIC programs have been designed to caculate the values of the optimum fitting coefficients and to draw curves for analysis.The results arc much better than that of all the former methods.It is a solid base for the optimum design of pipe networks.