k-median问题:在备选工厂集里面选定k个工厂,使得需求点到离它最近工厂的加权距离总和最小. 2 方法 近似方法分为两种:近似算法(Approximate Algorithms)和启发式算法(Heuristic Algorithms).近似算法通常有质量保证的解.然而启发式算法通常可找到在传统解决问题的经验中找到寻求一种面向问题的策略,之后用这种策略来在可行...
Rytter, "The k-Median Problem for Directed Trees," J. Sgall, A. Pultr and P.L Kolman (Eds.): MFCS 2001, Lecture Notes on Computer Science 2136 (2001) 260-271.M. Chrobak, L. Larmore, and W. Rytter. The k-median problem for directed trees, extended abstract. Mathematical ...
k-median problem. Journal of Software, 2004,15(1):0000~0000. /1000-9825/15/0000.htm Abstract: The research on approximated algorithms for k-Median problem is a focus of computer scientists all along, and most existed results are based on Euclidean and Metric k-Median problem, however, ...
problem is polynomial time solvable when the distance matrix is graded up the rows or graded down the rows. We then prove that the k-median problem is NP-complete when the distance matrix is graded up the rows or graded down the rows. An easy special case of the k-median problem with ...
(3 +O(ln(ln(k)/a)).该算法的时间复杂度 为 O([k/aln(k)]2(n+m)),其中 n 和 m 分别代表设施集合以及客户点集的大小.最后, 通过计算机实验验证了 k-median 问题的反向贪心算法的实际计算效 果.%Research on the approximated algorithms for k-median problem has been a focus of computer ...
We present the first constant-factor approximation algorithm for the metric k-median problem. The k-median problem is one of the most well-studied clustering problems, i.e., those problems in which the aim is to partition a given set of points into clusters so that the points within a clu...
We first prove that the $k$-center problem is polynomial time solvable when the distance matrix is graded up the rows or graded down the rows. We then prove that the $k$-median problem is NP-complete when the distance matrix is graded up the rows or graded down the rows. An easy ...
The k-median problem is a well-known strongly NP-hard combinatorial optimization problem of both theoretical and practical significance. The previous best approximation ratio for this problem is 2.611+\\epsilon (Bryka et al. 2014) based on an (1, 1.95238219) bi-factor approximation algorithm for...
An improved approximation algorithm for the hard uniform capacitated k-median problem. In APPROX '14/RANDOM '14: Proceedings of the 17th International Workshop on Combinatorial Optimiza- tion Problems and the 18th International Workshop on Randomization and Computation, APPROX '14/RAN- DOM '14, ...
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