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The mixed center location problem

  • Xi'an Jiaotong University
  • Beijing Center for Mathematics and Information Interdisciplinary Sciences

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

2 Scopus citations

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(n2 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 (nm+O√(k-m)).

Original languageEnglish
Title of host publicationCombinatorial Optimization and Applications - 10th International Conference, COCOA 2016, Proceedings
EditorsMinming Li, Lusheng Wang, T-H. Hubert Chan
PublisherSpringer Verlag
Pages340-349
Number of pages10
ISBN (Print)9783319487489
DOIs
StatePublished - 2016
Event10th Annual International Conference on Combinatorial Optimization and Applications, COCOA 2016 - Hong Kong, China
Duration: 16 Dec 2016 → 18 Dec 2016

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume10043 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference10th Annual International Conference on Combinatorial Optimization and Applications, COCOA 2016
Country/TerritoryChina
CityHong Kong
Period16/12/16 → 18/12/16

Keywords

  • Computational geometry
  • Facility location problem
  • K-center problem
  • Voronoi diagram

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