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排列组合应用题的规律性解法
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作者 陈军 《魅力中国》 2011年第15期333-334,共2页
排列组合应用题灵活抽象,技巧性强。但也有它固有的解题规律。
关键词 高中数学 排列组 合应用题 分类分步原理 规律性解法
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A Water Line Network Failure Application of Network Design Problems
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作者 Hiroaki Mohri Jun-ichi Takeshita 《Journal of Mathematics and System Science》 2015年第12期493-500,共8页
This study investigated a water supply recovery problem involving municipal water service piping. The problem consisted in recovering full service after network failure, in order to rapidly satisfy all urgent citywide... This study investigated a water supply recovery problem involving municipal water service piping. The problem consisted in recovering full service after network failure, in order to rapidly satisfy all urgent citywide demands. The optimal recovery solution was achieved through the application of so-called network design problems (NDPs), which are a form of combinatorial optimization problem. However, a conventional NDP is not suitable for addressing urgent situations because (1) it does not utilize the non-failure arcs in the network, and (2) it is solely concerned with stable costs such as flow costs. Therefore, to adapt the technique to such urgent situations, the conventional NDP is here modified to deal with the specified water supply problem. In addition, a numerical illustration using the Sendai water network is presented. 展开更多
关键词 Water supply recovery problem Network design problem Network failure Recovery and reconstruction plan Combinatorial optimization Risk assessment/management
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