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Uni Köln > WiSo-Fakultät > Seminar für Wirtschafts- und Sozialstatistik > Institut > LS Mosler > Prof. Mosler > Publikationen
Publikationen von Univ.-Prof. Dr. Karl Mosler |
Abstract: Location of a Spatially Extended Facility with Respect to a Point (Karl Mosler) |
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| In many planning situations a facility has to be located in space so that it cannot be reasonably modelled as a geometric point. Examples in public planning are the location of a recreational area (as a park) and the location of a large industrial plant and the location of a shopping area. In situations like these the location of a facility should be considered as a subset rather than a point in two-space. Besides the facility's extension in space often also the degree of agglomeration or the dispersion of activities in the area is of interest. In this paper, an area location of a facility is considered as a distribution of the facility's activities in the plane. Given a subset of the plane, the planning region, every point of this subset may be used for activities of the new facility. There is an existing facility whose location is given, and the only inhomogeneity of the plane is introduced by distances to this location. To give several examples, a new residential area may be located at an existing railway station, a worker's camp at a given mining shaft, or a commerical area at a bridge, a gate, or a custom's point. Also, an area location may be chosen with respect to an obnoxious facility like an incineration plant or a nuclear centre. The evaluation of an area location is based here on the local benefits per unit activity which depend solely on distances to the given facility, and on the local costs of agglomeration which depend on the density of activities. Criteria are maxisum benefit (i.e. minisum cost) and maximin benefit (i.e. minimax cost). E.g., when the facility is a residential area to be located near an existing railway station and every future resident has the same individual utility function depending on her distance to the station only, the criterion may be either utilitarian or Rawlsian, which corresponds to maxisum or maximin residents' utility. | ||||
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