利用灰区间解决费用函数线性化区间划分问题

Utilization of Gray Interval to Solve the Problem in Interval Division During the Linearization of Cost Function

作为水质规划目标的费用函数往往是非线性的 ,解决这种非线性规划问题常常是将目标函数线性化 ,然后利用单纯形法求解 .通过算例证实 :由于分段区间划分的任意性 ,规划结果有很大的不确定性 ,若采用灰色区间的方法能够有效解决该问题 .

The cost functions,which is used as the objectives in water quality programs is always non-linear,the common way to solve this question is to linearize the objective function and use the LP method.The paper concluded through examples that the result of programming is uncertain because of the random division of intervals.The problem could be solved well by gray theory.