给水管网优化设计的多目标遗传算法

为兼顾给水管网优化设计中的经济性和可靠性问题,以管网年费用和管网系统可靠性为目标函数建立给水管网优化设计的多目标遗传算法数学模型;并将系统可靠性定义为"节点富余水头加权平均值"和"管网恢复力",进而对多目标遗传算法模型求解过程进行分析。最后以一个典型的工程案例加以验证,结果表明,多目标遗传算法所得到的目标函数值和管网水力性能明显优于传统设计方法,充分说明了多目标遗传算法用于管网优化设计的实用性和有效性。

Multi-objective Genetic Algorithms Applied to Optimization Design of Water Distribution Networks

To consider the economy and reliability at the same time in the water distribution networks(WDS) design,the multi-objective genetic algorithm(MOGA),in which annual cost and reliability of WDS are taken as the objective functions,for water distribution network design was set up.And the reliability of WDS is defined as weighted average value of nodal extra pressure and pipe network resilience.Furthermore,the solution of MOGA is analyzed.Finally,a typical example is used to verify the MOGA and the results show that the object value and the hydraulic performance obtained by MOGA are obviously better than those by traditional method,which fully proves the validity and practicality of the application of the MOGA in the optimization design of water distribution network.