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设施定位
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设施定位
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理学
近似算法
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facility location
设施定位
设施定位(Facility Location)问题是近似算法和运筹学中的一个经典的组合优化问题,该问题也称为设施选址问题。在问题实例中,给定m个设施和n个客户,每个设施i(1 ≤ i ≤ m)有一个打开费用fi ≥ 0,设施i和客户j(1 ≤ j ≤ n)之间有一个非负的连接费用cij。通常,cij是设施i和客户j之间的距离。问题要求打开m个设施中的若干设施,将每一个客户连接到一个打开的设施上,使得总的打开费用和总的连接费之和最小,在此总的打开费用指打开的所有设施的打开费用之和,总的连接费用指所有客户到其连接到的设施的连接费用之和。
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