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Least-cost design of water distribution systems under demand uncertainty: the robust counterpart approach

机译：需求不确定性下配水系统的最低成本设计：鲁棒的对应方法

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摘要

in this study, a non-probabilistic robust counterpart (RC) approach is demonstrated and applied to the least-cost design/rehabilitation problem of water distribution systems (WDSs). The uncertainty of the information is described by a deterministic user-defined ellipsoidal uncertainty set that implies the level of risk. The advantages of the RC approach on previous modelling attempts to include uncertainty are in making no assumptions about the probability density functions of the uncertain parameters and their interdependences, having no requirements on the construction of a representative sample of scenarios, and the deterministic equivalent problem preserves the same size (i.e. computational complexity) as the original problem. The RC is coupled with the cross-entropy heuristic optimization technique for seeking robust solutions. The methodology is demonstrated on an illustrative example and on the Hanoi network. The results show considerable promise of the proposed approach to incorporate uncertainty in the least-cost design problem of WDSs. Further research is warranted to extend the model for more complex WDSs, incorporate extended period simulations, and develop RC schemes for other WDSs related management problems.
机译：在这项研究中，展示了一种非概率的鲁棒对应（RC）方法，并将其应用于供水系统（WDS）的成本最低的设计/修复问题。信息的不确定性由确定性的用户定义的椭圆不确定性集来描述，该不确定性集暗示了风险级别。 RC方法在以前的建模尝试中包括不确定性的优点是，无需对不确定参数及其相互依赖性的概率密度函数进行任何假设，无需构造场景的代表性样本，并且可以保留确定性等效问题与原始问题的大小相同（即计算复杂度）。 RC与交叉熵启发式优化技术相结合，以寻求鲁棒的解决方案。该方法在一个说明性示例和河内网络上得到了证明。结果表明，将不确定性纳入WDS的最小成本设计问题中的拟议方法具有很大的前景。有必要进行进一步的研究，以将模型扩展到更复杂的WDS，并结合较长时间的模拟，并为其他WDS相关的管理问题开发RC方案。

著录项

  • 来源
    《Journal of Hydroinformatics》 |2013年第3期|737-750|共14页
  • 作者

    Lina Perelman; Mashor Housh; Avi Ostfeld;

  • 作者单位

    Faculty of Civil and Environmental Engineering,Technion - Israel Institute of Technology,Haifa 32000,Israel;

    Faculty of Civil and Environmental Engineering,University of Illinois at Urbana-Champaign,2524 Hydrosystems Laboratory 301 N. Mathews Ave.,Urbana,IL 61801,USA;

    Faculty of Civil and Environmental Engineering,Technion - Israel Institute of Technology,Haifa 32000,Israel;

  • 收录信息 美国《科学引文索引》(SCI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    least-cost design; robust optimization; uncertainty; water distribution systems;

    机译：成本最低的设计;强大的优化;不确定;水分配系统;

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