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      Greedy Facility Location Algorithms Analyzed using Dual Fitting with Factor-Revealing LP

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          Abstract

          In this paper, we will formalize the method of dual fitting and the idea of factor-revealing LP. This combination is used to design and analyze two greedy algorithms for the metric uncapacitated facility location problem. Their approximation factors are 1.861 and 1.61, with running times of O(mlog m) and O(n^3), respectively, where n is the total number of vertices and m is the number of edges in the underlying complete bipartite graph between cities and facilities. The algorithms are used to improve recent results for several variants of the problem.

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          Author and article information

          Journal
          08 July 2002
          Article
          cs/0207028
          c350ee50-8785-4c85-99e1-58c474ea2d03
          History
          Custom metadata
          28 pages, 2 figures, 4 tables, abstract appeared in STOC 2002 Montreal
          cs.DS cs.GT

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