منابع مشابه
Continuous Facility Location with Backbone Network Costs
We consider a continuous facility location problem in which our objective is to minimize the weighted sum of three costs: fixed costs from installing the facilities, backbone network costs incurred from connecting the facilities to each other, and transportation costs incurred from providing services from the facilities to the service region. We first analyze the limiting behavior of this model...
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We characterize the graphs for which a linear relaxation of a facility location problem defines a polytope with all integral extreme points. We use a transformation to a stable set problem in perfect graphs. Based on this transformation, these graphs can be recognized in polynomial time. © 2014 Elsevier B.V. All rights reserved.
متن کاملFacility Location on Terrains
Given a terrain defined as a piecewise-linear function with n triangles, and m point sites on it, we would like to identify the location on the terrain that minimizes the maximum distance to the sites. The distance is measured as the length of the Euclidean shortest path along the terrain. To simplify the problem somewhat, we extend the terrain to (the surface of) a polyhedron. To compute the o...
متن کاملOn Fault-Tolerant Facility Location
We give a new LP-rounding 1.724-approximation algorithm for the metric Fault-Tolerant Uncapacitated Facility Location problem. This improves on the previously best known 2.076-approximation algorithm of Shmoys & Swamy. Our work applies a dependent-rounding technique in the domain of facility location. The analysis of our algorithm benefits from, and extends, methods developed for Uncapacitated ...
متن کاملOn the facility location problem: One-round weighted Voronoi game
Voronoi game presents a simple geometric model for Competitive facility location problems with two players. Voronoi game is played by two players known as White and Black, they play in a continuous arena. In the one-round game, White starts game and places all his points in the arena then Black places her points. Then the arena is divided by distance between two players and the player with the ...
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ژورنال
عنوان ژورنال: Mathematical Programming
سال: 2021
ISSN: 0025-5610,1436-4646
DOI: 10.1007/s10107-021-01646-x