Redundancy‐Constrained Minimum‐Cost Design of Water‐Distribution Nets
Redundancy‐Constrained Minimum‐Cost Design of Water‐Distribution Nets
复制标题
配水管网冗余约束最小成本设计
DOI：
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发表时间：
1993
期刊：
影响因子：
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通讯作者：
J. Liebman
中科院分区：
文献类型：
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作者：
Heekyung Park;J. Liebman
为了比较不同的设计和在系统设计中使用优化方法，有必要量化环状配水网络中的冗余量。在这项工作中，冗余量化使用的预期短缺，由于个别管道的故障作为替代措施的可靠性，允许纳入一些考虑的频率，持续时间和严重程度的损害。在此基础上，建立了可靠性约束下的最小成本设计的梯度修正线性规划模型。该模型将网络中每个节点的短缺量限制为小于或等于某个指定的需求比例。提出了一种解决方案的方法，以克服计算的复杂性，并显示，使实际规模的网络解决方案触手可及。该模型用于探讨成本和可靠性之间的权衡。该算法的扩展考虑系统内的储罐。
Quantification of the amount of redundancy in a looped water-distribution network is necessary in order to compare different designs and to use an optimization approach in the design of the system. In this work, redundancy is quantified using the expected shortage due to failure of individual pipes as a surrogate measure of reliability that permits incorporation of some considerations of frequency, duration, and severity of damage. Based on this surrogate, a gradient-modified linear-programming model is developed for minimum-cost design subject to reliability constraints. The model constrains the shortage at each node in the network to be less than or equal to some specified fraction of demand. A solution approach is proposed to overcome computational complexity, and is shown to bring practical-sized network solutions within reach. The model is used to explore the trade-off between cost and reliability. An extension of the algorithm considers storage tanks within the system.