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为了得到科学合理的给水管网设计方案,在设计时要同时考虑其经济性和可靠性。经济性以“管网建造费用”为目标函数,可靠性以“节点富余水头总和”和“节点富余水头方差”为目标函数,综合这两方面建立了给水管网优化设计的多目标数学模型,并通过MATLAB和EPANET等软件平台,运用带精英策略的非支配排序遗传算法(NSGA-Ⅱ)对该多目标数学模型进行求解分析。最后以纽约隧道(New York Tunnel)工程案例加以验证,结果证明了所采用的基于非支配遗传算法的多目标数学模型在给水管网设计中的合理性和有效性。
In order to get a scientific and rational design of water supply network, in the design of both economic and reliability. The economic objective is to use the cost of pipe network construction as the objective function. The reliability is based on the objective function of the sum of the surplus head of the nodes and the variance of the head of the remaining nodes of the node. Based on these two aspects, the optimal design of the water supply network The multi-objective mathematic model is solved by using software platform such as MATLAB and EPANET. The non-dominated ranking genetic algorithm (NSGA-Ⅱ) with elitist strategy is used to solve the multi-objective mathematical model. Finally, the case of the New York Tunnel was verified. The result proves the rationality and effectiveness of the multi-objective mathematical model based on the non-dominated genetic algorithm in the design of water distribution network.