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Author Jain, Kamal ♦ Mahdian, Mohammad ♦ Markakis, Evangelos ♦ Saberi, Amin ♦ Vazirani, Vijay V.
Source ACM Digital Library
Content type Text
Publisher Association for Computing Machinery (ACM)
File Format PDF
Copyright Year ©2003
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Subject Keyword Approximation algorithms ♦ Dual-fitting method ♦ Facility location problem ♦ Primal-dual method
Abstract In this article, 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 $\textit{O}(\textit{m}$ log $\textit{m})$ and $O(n^{3}),$ respectively, where $\textit{n}$ is the total number of vertices and $\textit{m}$ 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.
ISSN 00045411
Age Range 18 to 22 years ♦ above 22 year
Educational Use Research
Education Level UG and PG
Learning Resource Type Article
Publisher Date 2003-11-01
Publisher Place New York
e-ISSN 1557735X
Journal Journal of the ACM (JACM)
Volume Number 50
Issue Number 6
Page Count 30
Starting Page 795
Ending Page 824

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Source: ACM Digital Library