Least-cost design of water distribution systems under demand uncertainty: the robust counterpart approach
Least-cost design of water distribution systems under demand uncertainty: the robust counterpart approach
复制标题
需求不确定性下供水系统的最低成本设计：稳健的对应方法
DOI：
10.2166/hydro.2013.138
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发表时间：
2013
影响因子：
2.7
通讯作者：
A. Ostfeld
中科院分区：
文献类型：
--
作者：
L. Perelman;M. Housh;A. Ostfeld
在这项研究中，一个非概率的鲁棒对应（RC）的方法被证明和应用到供水系统（WDS）的最小成本设计/修复问题。信息的不确定性是由一个确定性的用户定义的椭圆形不确定性集，暗示的风险水平。RC方法的优点是，在以前的建模尝试，包括不确定性的不确定参数的概率密度函数和它们的相互依赖性的假设，没有要求的建设一个有代表性的样本的情况下，和确定性的等价问题保持相同的大小（即计算复杂性）作为原始问题。再加上交叉熵启发式优化技术，以寻求强大的解决方案。该方法在一个说明性示例和河内网络上进行了演示。结果表明，所提出的方法在将不确定性纳入BDS最低成本设计问题方面具有相当大的前景。进一步的研究是必要的，以扩大更复杂的WDS模型，将延长期模拟，并制定RC计划的其他WDS相关的管理问题。
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 interdependencies, 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.
影响因子：
5.4
作者：
G. Fu;Z. Kapelan
通讯作者：
G. Fu;Z. Kapelan