Effectiveness of Local Search for Geometric Optimization
نویسندگان
چکیده
What is the effectiveness of local search algorithms for geometric problems in the plane? We prove that local search with neighborhoods of magnitude 1/ c is an approximation scheme for the following problems in the Euclidean plane: TSP with random inputs, Steiner tree with random inputs, uniform facility location (with worst case inputs), and bicriteria k-median (also with worst case inputs). The randomness assumption is necessary for TSP. 1998 ACM Subject Classification I.3.5 Computational Geometry and Object Modeling, F.2.2 Nonnumerical Algorithms and Problems
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تاریخ انتشار 2015