基于动态分摊系数法的城镇供水投资控制仿真模型

Town water supply investment control and simulation model based on dynamic share coefficient method

对于资金密集型的城镇供水工业,有必要制定相对长期内的动态最优供水投资决策.为此,将静态的计算城镇供水效益的传统分摊系数法和计算供水费用的幂函数法分别动态化,并改进水管理系统的传统状态方程,建立城镇供水投资管理的最优控制模型.利用修正的最大值原理求出最优解.模型克服了静态的传统分摊系数法得出的供水工程投资越大,效益也越大的不合理结论.仿真结果显示了城镇供水工业与整体工业协调发展的重要性.

It is necessary for the capital-intensive town water supply industry to make the dynamic optimal water supply investment decision in a relatively long-term period.So with making dynamic the static traditional share coefficient method and the power functional method individually calculating benefit and cost of town water supply,and improving the traditional state equation of water management system, an optimal control model of town water supply investment management was established.The optimal solution was solved by means of amended maximum principle.The model corrects the unreasonable conclusion obtained from the static traditional share coefficient method,which is the more water supply project investment,the more benefit.The simulation result shows the significance of coordinated growth between town water supply industry and the whole industry.