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COMBINED PIECEWISE-LINEAR APPROXIMATIONS AND NEWTON'S METHOD TO SOLVE DAILY DRINKING WATER PRODUCTION AND DISTRIBUTION PLANNING PROBLEMS

机译:分段线性近似与牛顿法相结合的解决日常饮用水生产和分配规划问题

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We consider the problem of optimizing daily production and distribution of drinking water in a large network. As already shown in a previous research work [ ] the model is nonlinear due to pressure loss restrictions. This paper discusses an approach that integrates the previously developed piecewise linearization method with Newton's method to determine close to optimal feasible solutions. We first review the mixed integer program for the problem, then we describe the proposed algorithm for its solution and show its results on some real-world water networks.
机译:我们考虑在大型网络中优化饮用水的日常生产和分配的问题。如先前的研究工作所示,由于压力损失的限制,该模型是非线性的。本文讨论了一种方法,该方法将先前开发的分段线性化方法与牛顿法相结合,以确定接近最佳的可行解。我们首先查看问题的混合整数程序,然后我们描述所提出算法的解决方案,并在一些实际的水网络上显示其结果。

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