Abstract
In this paper, I address the location of successively inclusive hierarchical facility systems. Location analysts have traditionally generated such systems under two unrealistic assumptions — first, that facilities can be located independently at each level, and secondly, that patrons will invariably attend the closest facility offering a particular level of service. In this paper, I employ a heuristic method which allows all levels to be located simultaneously. Further, I introduce an objective function based on a negative exponential adaption of Reilly's “retail gravitation law” which accounts for the differential attractivess of facilities at different levels.
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Hodgson, M.J. A hierarchical location-allocation model with allocations based on facility size. Ann Oper Res 6, 273–289 (1986). https://doi.org/10.1007/BF02023746
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DOI: https://doi.org/10.1007/BF02023746