Modeling the Competitive Facility Location Problem in a Symmetric Arena
عنوان مقاله: Modeling the Competitive Facility Location Problem in a Symmetric Arena
شناسه ملی مقاله: JR_IJOCIT-1-1_003
منتشر شده در شماره 1 دوره 1 فصل August در سال 1392
شناسه ملی مقاله: JR_IJOCIT-1-1_003
منتشر شده در شماره 1 دوره 1 فصل August در سال 1392
مشخصات نویسندگان مقاله:
Marzieh Eskandari - Alzahra University Department of Mathematics
خلاصه مقاله:
Marzieh Eskandari - Alzahra University Department of Mathematics
In this paper, we consider the competitive facility location problem as a version of n-round Manhatan-metric Voronoi game with two players, where the distance measure is the Man- hattan metric. Players alternate placing points, one at a time, into the playing arena that is a symmetric polygon, until each of them has placed n points. The arena is then subdivided according to the nearest-neighbor rule under the Manhattan distance, and the player whose points control the larger area wins. We study a winning strategy for the second player in a special version of the game.
کلمات کلیدی: Computational geometry; Voronoi diagram; Voronoi game; Game theory; Competitive facility location
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/443516/