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In this paper the following facility location problem in a mixed planar-network space is considered: We assume that traveling along a given network is faster than traveling within the plane according to the Euclidean distance. A pair of points (Ai,Aj) is called covered if the time to access the network from Ai plus the time for traveling along the network plus the time for reaching Aj...
In this paper we consider the problem of locating an axis-parallel rectangle in the plane such that the sum of distances between the rectangle and a finite point set is minimized, where the distance is measured by the Manhattan norm ℓ1. In this way we solve an extension of the Weber problem to extensive facility location. As a model, our problem is appropriate for position sensing of rectangular...
The Weber problem consists of finding a facility which minimizes the sum of weighted distances from itself to a finite set of given demand points. In this paper we extend the Weber problem in the following way: We allow traveling along given linear curves (lines, line-segments, and rays) with high speed. Leaving and entering such a curve is allowed at all its points, and hence a network structure...
We consider the location of new stops along the edges of an existing public transportation network. Examples of StopLoc include the location of bus stops along some given bus routes or of railway stations along the tracks in a railway system. In order to evaluate the decision assume that potential customers in given demand facilities are known. Two objectives are proposed. In the first one, we minimize...
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