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A new Integer Linear Programming based Design Methodology for Water Distribution systems

机译:基于整数基于整数的水分配系统设计方法

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Through this paper is presented a different close up to the Optimal Power Use Surface (OPUS) methodology involving the use of Integer Linear Programming (ILP). In this approach, some steps from the former procedure are modified in order to obtain Water Distribution Systems (WDS) designs more efficiently. In this case, OPUS is carried out until the optimal flow distribution is found and then the final design is calculated through ILP. This is done by decomposing the network into an open-tree structure in which nodes are removed and duplicated while maintaining the same hydraulic characteristics from the initial looped system. The objective of this variation is to avoid the redundancy in the scheme, which promotes hydraulic inefficiency to the process of optimization. In brief the understanding of the hydraulic principles and the ways in which energy is distributed and dissipated in the system are used to set-up an equivalent cost-efficient water network, one which can be used on a ILP optimization. In the present work, results are obtained by testing this methodology within four benchmark problems (Hanoi, Balerma, R28 and Taichung). Comparing the results with the designs achieved by diverse methodologies, we can establish that the methodology accomplishes results with similar constructive costs but requiring much less iterations. This methodology represents an alternative to exhaustive meta-heuristic proceedings, requiring a lower computational capacity and attaining low-cost WDS as well.
机译:通过本文介绍了涉及使用整数线性编程(ILP)的最佳功率使用表面(OPUS)方法的不同近距离。在这种方法中,从前过程的一些步骤被修改,以便更有效地获得分配系统(WDS)设计。在这种情况下,在找到最佳流动分布之前进行OPU,然后通过ILP计算最终设计。这是通过将网络分解成开放树结构来完成的,其中消除了节点并复制,同时保持来自初始环路系统的相同的液压特性。这种变化的目的是避免该方案中的冗余,这促进了液压低效率的优化过程。简而言之,了解系统中分配和消散能量的液压原理和方式的方式用于设置等效的成本效率的水网络,可以用于ILP优化。在目前的工作中,通过在四个基准问题(河内,Balerma,R28和Taicheng)中测试该方法来获得结果。将结果与各种方法所实现的设计进行比较,我们可以确定该方法完成具有相似建设性成本的结果,但需要更少的迭代。该方法代表了详尽的荟萃启发式程序的替代方案,需要较低的计算能力并获得低成本的WD。

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