A GIS based model for solving the planar Huff problem considering different demand distributions and forbidden regions

Abstract

In this paper, we have used Geographical Information Systems (GIS) to solve the planar Huff problem considering different demand distributions and forbidden regions. Most of the papers connected with the competitive location problems consider that the demand is aggregated in a finite set of points. In other few cases, the models suppose that the demand is distributed along the feasible region according to a functional form, mainly a uniform distribution. In this case, in addition to the discrete and uniform demand distributions we have considered that the demand is represented by a population surface model, that is, a raster map where each pixel has associated a value corresponding to the population living in the area that it covers. Taking into account the demand distribution and the location and size of the existing facilities, we have obtained a raster map where each pixel has associated the estimated capture for a new competing firm if it decides to locate on it. Finally, a real example is solved where the solution for the three scenarios is compared.