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The Mixed Center Location Problem

  • Yi Xu
  • Jigen Peng
  • Yinfeng Xu
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10043)

Abstract

This paper studies a new version of the location problem called the mixed center location problem. Let P be a set of n points in the plane. We first consider the mixed 2-center problem where one of the centers must be in P and solve it in \(O(n^2\log n)\) time. Next we consider the mixed k-center problem where m of the centers are in P. Motivated by two practical constraints, we propose two variations of the problem. We present an exact algorithm, a 2-approximation algorithm and a heuristic algorithm solving the mixed k-center problem. The time complexity of the exact algorithm is \(O(n^{m+O(\sqrt{k-m})})\).

Keywords

k-center problem Facility location problem Voronoi diagram Computational geometry 

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Copyright information

© Springer International Publishing AG 2016

Authors and Affiliations

  1. 1.School of Mathematics and StatisticsXi’an Jiaotong UniversityXi’anPeople’s Republic of China
  2. 2.Beijing Center for Mathematics and Information Interdisciplinary SciencesBeijingPeople’s Republic of China
  3. 3.School of ManagementXi’an Jiaotong UniversityXi’anPeople’s Republic of China
  4. 4.The State Key Lab for Manufacturing Systems EngineeringXi’anPeople’s Republic of China

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