基于Logistic和C-D函数的城市生活用水动态优化及仿真

Dynamic Optimization and Simulation of Urban Domestic Water Based on Logistic and C-D Function

为适应城镇化进程下的城市人口变化,研究了城市生活用水投入的动态优化问题.生活用水需求以逻辑斯蒂方程和人均需水量的乘积表示,水供给以柯布-道格拉斯生产函数表示.通过资本和劳动的动态协调投入,使城市供水动态满足生活用水需求,且供水投入实现动态最优配置.系统仿真表明,扩大资本和劳动投入的可取值范围可加快缩小城市生活用水供需差额并实现均衡.

The problem of dynamic optimization of urban domestic water input was studied to optimally adapt to the changes of urban population under the process of urbanization. The product of logistic equation and per capita water demand was used to denote domestic water demand, and C-D production function was used to denote water supply. Through the dynamic coordination of capital and labor input, the urban water supply dynamic was made to meet domestic water demand, realizing dynamic optimal configuration of water supply input. The system simulation show that expanding the scope of the value of capital and labor input can accelerate up the narrow urban domestic water supply and demand balance and achieve equilibrium.