The post office problem for fuzzy point sets
The post-office problem for n point sites in the plane (determine which site is closest to a later specified query point) is generalized to the situation when the residence of each site is uncertain and it is described via uniform distribution within a disk. Two probabilistic concepts of neighborhood — expected closest site and probably closest site — are discussed and the resulting Voronoi diagrams are investigated from a combinatorial and computational point of view.
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