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Discrete Model and Visualization Interface for Water Distribution Network Design

机译:用于水分配网络设计的离散模型和可视化界面

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The water distribution network design problem poses challenges for optimization due to the tightly constrained nature of the typical mathematical programming formulation. The optimization of existing water distribution networks has therefore often been tackled through the use of stochastic optimization procedures. However, even these suffer from the need to solve systems of nonlinear algebraic equations. This paper describes the implementation of a hybrid method which combines a fully discrete formulation and visualization procedure with mixed integer nonlinear programming ( MINLP) solution methods. The discrete formulation is suitable for solution by stochastic and direct search optimization methods and provides a natural basis for visualization and, hence, user interaction. Visual hints allow a user to identify easily bottlenecks and the aspects of the design that most greatly affect the overall cost. The result is a tool which combines the global search capabilities of stochastic algorithms with the pattern recognition and tuning abilities of the user. The solutions obtained provide good initial points for subsequent optimization by rigorous MINLP solution methods.
机译:由于典型数学规划配方的严格受到严格的性质,水分配网络设计问题造成了优化的挑战。因此,经常通过使用随机优化程序来解决现有水分配网络的优化。然而,即使这些遭受了解决非线性代数方程的系统。本文介绍了一种混合方法的实现,该方法将完全离散的配方和可视化过程与混合整数非线性编程(MINLP)解决方案方法相结合。离散制剂适用于通过随机和直接搜索优化方法解决方案,并为可视化提供自然基础,因此用户交互。视觉提示允许用户识别容易瓶颈和设计的方面,最大地影响整体成本。结果是一种工具,其将随机算法的全球搜索能力与用户的模式识别和调谐能力相结合。获得的溶液提供了通过严格的MinLP溶液方法随后优化的良好初始点。

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