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Documents authored by Lee, Der-Tsai

Document
Complete Volume
DOI: 10.4230/LIPIcs.ISAAC.2018
LIPIcs, Volume 123, ISAAC'18, Complete Volume

Authors: Wen-Lian Hsu, Der-Tsai Lee, and Chung-Shou Liao

Published in: LIPIcs, Volume 123, 29th International Symposium on Algorithms and Computation (ISAAC 2018)

Abstract
LIPIcs, Volume 123, ISAAC'18, Complete Volume
Cite as

29th International Symposium on Algorithms and Computation (ISAAC 2018). Leibniz International Proceedings in Informatics (LIPIcs), Volume 123, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2019)

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@Proceedings{hsu_et_al:LIPIcs.ISAAC.2018,
  title =	{{LIPIcs, Volume 123, ISAAC'18, Complete Volume}},
  booktitle =	{29th International Symposium on Algorithms and Computation (ISAAC 2018)},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-094-1},
  ISSN =	{1868-8969},
  year =	{2019},
  volume =	{123},
  editor =	{Hsu, Wen-Lian and Lee, Der-Tsai and Liao, Chung-Shou},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.ISAAC.2018},
  URN =		{urn:nbn:de:0030-drops-101600},
  doi =		{10.4230/LIPIcs.ISAAC.2018},
  annote =	{Keywords: Mathematics of computing, Theory of computation, Data structures design and analysis, Computing methodologies}
}
Document
Front Matter
DOI: 10.4230/LIPIcs.ISAAC.2018.0
Front Matter, Table of Contents, Preface, Conference Organization

Authors: Wen-Lian Hsu, Der-Tsai Lee, and Chung-Shou Liao

Published in: LIPIcs, Volume 123, 29th International Symposium on Algorithms and Computation (ISAAC 2018)

Abstract
Front Matter, Table of Contents, Preface, Conference Organization
Cite as

29th International Symposium on Algorithms and Computation (ISAAC 2018). Leibniz International Proceedings in Informatics (LIPIcs), Volume 123, pp. 0:i-0:xviii, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2018)

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@InProceedings{hsu_et_al:LIPIcs.ISAAC.2018.0,
  author =	{Hsu, Wen-Lian and Lee, Der-Tsai and Liao, Chung-Shou},
  title =	{{Front Matter, Table of Contents, Preface, Conference Organization}},
  booktitle =	{29th International Symposium on Algorithms and Computation (ISAAC 2018)},
  pages =	{0:i--0:xviii},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-094-1},
  ISSN =	{1868-8969},
  year =	{2018},
  volume =	{123},
  editor =	{Hsu, Wen-Lian and Lee, Der-Tsai and Liao, Chung-Shou},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.ISAAC.2018.0},
  URN =		{urn:nbn:de:0030-drops-99488},
  doi =		{10.4230/LIPIcs.ISAAC.2018.0},
  annote =	{Keywords: Front Matter, Table of Contents, Preface, Conference Organization}
}
Document
DOI: 10.4230/LIPIcs.ISAAC.2016.64
The (1|1)-Centroid Problem on the Plane Concerning Distance Constraints

Authors: Hung-I Yu, Tien-Ching Lin, and Der-Tsai Lee

Published in: LIPIcs, Volume 64, 27th International Symposium on Algorithms and Computation (ISAAC 2016)

Abstract
In 1982, Drezner proposed the (1|1)-centroid problem on the plane, in which two players, called the leader and the follower, open facilities to provide service to customers in a competitive manner. The leader opens the first facility, and then the follower opens the second. Each customer will patronize the facility closest to him (ties broken in favor of the leader's one), thereby decides the market share of the two players. The goal is to find the best position for the leader’s facility so that his market share is maximized. The best algorithm for this problem is an O(n^2 log n)-time parametric search approach, which searches over the space of possible market share values. In the same paper, Drezner also proposed a general version of (1|1)-centroid problem by introducing a minimal distance constraint R, such that the follower's facility is not allowed to be located within a distance R from the leader's. He proposed an O(n^5 log n)-time algorithm for this general version by identifying O(n^4) points as the candidates of the optimal solution and checking the market share for each of them. In this paper, we develop a new parametric search approach searching over the O(n^4) candidate points, and present an O(n^2 log n)-time algorithm for the general version, thereby closing the O(n^3) gap between the two bounds.
Cite as

Hung-I Yu, Tien-Ching Lin, and Der-Tsai Lee. The (1|1)-Centroid Problem on the Plane Concerning Distance Constraints. In 27th International Symposium on Algorithms and Computation (ISAAC 2016). Leibniz International Proceedings in Informatics (LIPIcs), Volume 64, pp. 64:1-64:12, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2016)

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@InProceedings{yu_et_al:LIPIcs.ISAAC.2016.64,
  author =	{Yu, Hung-I and Lin, Tien-Ching and Lee, Der-Tsai},
  title =	{{The (1|1)-Centroid Problem on the Plane Concerning Distance Constraints}},
  booktitle =	{27th International Symposium on Algorithms and Computation (ISAAC 2016)},
  pages =	{64:1--64:12},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-026-2},
  ISSN =	{1868-8969},
  year =	{2016},
  volume =	{64},
  editor =	{Hong, Seok-Hee},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.ISAAC.2016.64},
  URN =		{urn:nbn:de:0030-drops-68337},
  doi =		{10.4230/LIPIcs.ISAAC.2016.64},
  annote =	{Keywords: competitive facility, Euclidean plane, parametric search}
}
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