有约束农业机械化贡献的一种测算方法

An Estimating Method of Constrained Agricultural Machinery' s Contribution

提出了一种基于增长速度方程的有约束农业机械化贡献率的测算方法。该方法首先构造了一个以增长速度方程误差绝对值之和最小为目标,以各种投入要素的产出弹性大于零为约束条件的优化模型。在此基础上,通过变量替换,将该模型转化为线性规划模型。由于线性规划模型不仅能够求得解析解,而且有现成的求解软件,因此便于问题的求解。该方法克服了现有文献给出的增长速度方程参数估计方法与生产实际不符的情况,即有时会出现投入要素的产出弹性为负的情况。

Based on the growth speed equation,this paper proposes a calculating method of constrained agricultural machinery's contribution rate. In the method,an optimization model was established which takes the minimum absolute error sum of growth speed equation as its goal and takes the output elasticity of various input factors which is greater than zero as its constraints. Then based on this,the optimization model was converted into a linear programming problem model through variable substitution. Through this method,we overcome the situation that existed literature' s Parameter estimation method based on the growth speed equation do not match the actual condition of production,and that sometimes the output elasticity of factor inputs is negative.