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首页> 外文期刊>Journal of Water Resources Planning and Management >Analytical Optimization Approach for Simultaneous Design and Operation of Water Distribution-Systems Optimization
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Analytical Optimization Approach for Simultaneous Design and Operation of Water Distribution-Systems Optimization

机译：分析优化方法，用于分配系统优化的同步设计与运行

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This paper presents an analytical algorithm for simultaneous least-cost design and operation of looped water distribution systems (WDSs). This method could be used to replace evolutionary methods (which are typically used to solve the design-operation problem), or it can be used in conjunction with evolutionary algorithms to enhance their performance (i.e., a hybrid approach). Unlike previous studies that propose analytical methods for split-pipe or continuous diameter design, the developed method addresses a more realistic case in which the pipe design is restricted to commercially available discrete diameters. The analytical approach consists of three stages. In the first stage, a reformulated linear programming (LP) method is used to find the least-cost design of a WDS for a given set of flow distribution while allowing a pipe-split in the solution. In the second stage, the equivalent pipe diameters of the split-pipe design are calculated and modified to discrete pipe diameters by applying a rounding-up strategy to the next commercially available pipe diameter. In the third stage, a nonlinear programming (NLP) method is used to find a new flow distribution that reduces the cost of the WDS operation given the design of the second stage. It is shown in this study that the results produced by the analytical method outperform the results of evolutionary methods when compared to previously published studies. Moreover, when a hybrid approach is adapted, the analytical method can be used to initialize the evolutionary algorithm to gain enhanced performance. The results of the hybrid approach fine-tune those obtained from the analytical method and demonstrate a substantial improvement when compared to a standard evolutionary algorithm initialized with a randomly generated initial population.
机译：本文介绍了一种分析算法，用于同时的最小成本设计和环路分配系统（WDS）的操作。该方法可用于替换进化方法（通常用于解决设计操作问题），或者它可以与进化算法结合使用以增强它们的性能（即，混合方法）。与先前的研究不同，该研究提出了用于分流管或连续直径设计的分析方法，开发方法解决了一种更现实的情况，其中管道设计仅限于市售的离散直径。分析方法由三个阶段组成。在第一阶段，重新设计的线性编程（LP）方法用于找到给定的一组流分布的WDS的最低成本设计，同时允许在解决方案中分离。在第二阶段，通过将圆形策略施加到下一个市售的管道直径来计算和修改分流管设计的等效管道直径。在第三阶段，非线性编程（NLP）方法用于找到新的流量分布，该流量分布降低了给定第二阶段的设计的WDS操作的成本。在这项研究中显示，通过分析方法产生的结果优于进化方法的结果与先前公布的研究相比。此外，当调整混合方法时，分析方法可用于初始化进化算法以增强性能。混合方法的结果微调从分析方法获得的那些，并且与随机产生的初始群体初始化的标准进化算法相比，展示了大量改进。

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