Competitive Facility Location: One-round weighted Voronoi game

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Hassani Zeinab; Eskandari Marzieh

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Journal: MATHEMATICAL RESEARCHES Year:2020 | Volume:6 | Issue:1 Page(s): 47-56

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Title

Competitive Facility Location: One-round weighted Voronoi game

Author(s)

Hassani Zeinab | Eskandari Marzieh | Issue Writer Certificate

Keywords

Computational geometryQ1

Competitive facility locationQ1

Voronoi diagramQ1

Multiplicative Voronoi diagramQ1

Voronoi gameQ1

Abstract

Introduction: The Voronoi game is a simple geometric model for Competitive facility location problem which is played by two players, White and Black, in a continuous space (one-dimensional or two-dimensional). In the one-round game, White places all his n points. After that, Black places the same number of points on the game space. The players Cannot change or reuse a point that was placed before. At the end of the game, the Voronoi diagram of all 2n points is constructed and a player who obtains the larger total area is the winner...

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APA: Copy

Hassani, Zeinab, & Eskandari, Marzieh. (2020). Competitive Facility Location: One-round weighted Voronoi game. MATHEMATICAL RESEARCHES, 6(1 ), 47-56. SID. https://sid.ir/paper/375073/en

Vancouver: Copy

Hassani Zeinab, Eskandari Marzieh. Competitive Facility Location: One-round weighted Voronoi game. MATHEMATICAL RESEARCHES[Internet]. 2020;6(1 ):47-56. Available from: https://sid.ir/paper/375073/en

IEEE: Copy

Zeinab Hassani, and Marzieh Eskandari, “Competitive Facility Location: One-round weighted Voronoi game,” MATHEMATICAL RESEARCHES, vol. 6, no. 1 , pp. 47–56, 2020, [Online]. Available: https://sid.ir/paper/375073/en

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