Effectiveness of Several Metaheuristic Methods to Analyze Hydraulic Parameters in a Drinking Water Distribution Network

Sulianto nbsp
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引用次数: 2

Abstract

The reliability and ease of applying metaheuristic methods in solving large and complex equation systems make it interesting to be applied as an alternative solution to solving problems in various fields. This article proves the effectiveness of an optimization model based on the metaheuristic method for the analysis of hydraulic parameters of drinking water distribution pipes. The metaheuristic methods explored are Differential Evolution (DE) algorithm, Particle Swam Optimization (PSO) algorithm and CODEQ algorithm. The effectiveness of the three methods is measured relative by comparing the results of the analysis of the three models with the results from Newton Raphson method and Monte Carlo simulation method. The analysis shows that the optimization model based on the DE, PSO and CODEQ algorithms is very effective for solving problems on a simple network that has 6 pipe elements and 5 service nodes. The results obtained have a level of accuracy as good as Newton Raphson method. In the case of complex networks that have 32 pipe elements and 21 service nodes, there is an indication of performance degradation which is indicated by a decrease in fitness value. In this case, Newton Raphson method still shows its consistency. The optimization model based on the metaheuristic method is still far more effective than the Monte Carlo simulation method, although it is not as effective as Newton Raphson method. The Monte Carlo simulation method is not recommended for hydraulic pipe network analysis, even for simple networks.
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几种元启发式方法分析饮水管网水力参数的有效性
应用元启发式方法求解大型复杂方程组的可靠性和便捷性,使其成为解决各种领域问题的替代解决方案。本文验证了基于元启发式方法的优化模型在饮用水配水管水力参数分析中的有效性。探索的元启发式算法有微分进化(DE)算法、粒子游优化(PSO)算法和CODEQ算法。通过将三种模型的分析结果与牛顿拉弗森法和蒙特卡罗模拟法的结果进行比较,比较了三种方法的有效性。分析表明,基于DE、PSO和CODEQ算法的优化模型对于具有6个管道单元和5个服务节点的简单网络是非常有效的。所得结果具有与牛顿-拉夫森方法相当的精度。在具有32个管道元素和21个服务节点的复杂网络的情况下,存在性能下降的迹象,这是由适应度值的下降表示的。在这种情况下,牛顿-拉夫森方法仍然显示出它的一致性。基于元启发式方法的优化模型虽然不如Newton Raphson方法有效,但仍然比Monte Carlo模拟方法有效得多。即使是简单的管网,也不建议使用蒙特卡罗仿真方法进行水力管网分析。
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