中文摘要：

建立了基于作物水分生产函数的灌溉水量优化分配模型。采用Kuhn-Tucker条件获取该模型的最优解条件,并给出了最优解的计算方法,包括单一作物全生育期缺水条件下灌溉水量在不同阶段的优化分配计算,以及多种作物某同一生育期缺水条件下灌溉水量在不同作物之间的分配方法。利用2个实例对所给方法进行了分析,与传统优化方法相比,思路清楚,计算过程简单,工作量少,便于灌区管理人员在实际生产中应用。

英文摘要：

The optimal irrigation water allocation models,which based on crop water production function,were established.Kuhn-Tucker conditions were used to obtain the optimal solution conditions of these models,and the calculation process of the optimal solution was suggested.These models including the optimal irrigation water allocation among different growth stages of a single crop under water shortage conditions,and irrigation water allocation among different crops at the same growth stage under water shortage conditions.Two cases study were analyzed with the suggested method.Compared with traditional optimization methods,this method has the advantages of clear idea,simple calculations,less works,and to facilitate irrigation district managers to use.