输水渠道线路优化与漫游数学家模型

Optimal alignment of channel and wanderings mathematician model

在传统漫游数学家模型的基础上,以线路定性方案、渠段纵坡为决策变量,工程总投资为目标函数,考虑渠段线路状态转移和渠道首末水位约束,提出了阶段函数已知情况下的长距离输水渠道线路优化二维动态规划模型。实例证明该法对长距离输水渠道线路系统的优化比传统线路方法更优越。

On the basis of a revised model of wanderings mathematician, this paper presents a 2-D dynamic programming model for the optimal alignment of channel with known segment function. The model takes the longitudinal slope of the channel and qualitative alignment scheme of each segment as system variables. The minimum works investment is taken as objective function, and the following factors such as the water levels at the head and end of channel, segment transfer of each alignment are regarded as constrains. There are a better results in the optimal alignment with this method than with the traditional one in the application cases.