Volume 8 Number 9 ( Sep. 2013)
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JSW 2013 Vol.8(9): 2360-2366 ISSN: 1796-217X
doi: 10.4304/jsw.8.9.2360-2366

A Fast Algorithm for Facility Location Problem

Wenhao Shu
School of Computer and Information Technology, Beijing Jiaotong University, Beijing, 100044, China

Abstract—In this paper, we present an approximation algorithm achieving approximation guarantee of 2 for the classical uncapacitated facility location problem. The distinguishing feature of our designed algorithm is the overall low running time of O(mlogm), where c f m=n ×n , c n and f n are the number of cities and facilities. Though the approximation factor is 1.61 in Ref.[1], whereas the running time is 3 O(n ) , where c f n=n+n . Compared with the approximation algorithm in Ref.[1], the advantage of our algorithm is it has more applications with lower running time.

Index Terms—Facility location problem, approximation algorithm, dual fitting, linear programming.

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Cite: Wenhao Shu, "A Fast Algorithm for Facility Location Problem," Journal of Software vol. 8, no. 9, pp. 2360-2366, 2013.

General Information

ISSN: 1796-217X (Online)
Frequency: Monthly (2006-2019); Bimonthly (Since 2020)
Editor-in-Chief: Prof. Antanas Verikas
Executive Editor: Ms. Yoyo Y. Zhou
Abstracting/ Indexing: DBLP, EBSCO, Google Scholar, ProQuest, INSPEC, ULRICH's Periodicals Directory, WorldCat, etc
E-mail: jsw@iap.org
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