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The Max‐P‐Regions ProblemJuan DuqueUniversidad EAFIT Luc AnselinUniversity of Illinois at Urbana-Champaign - Department of Agricultural and Consumer Economics Sergio J. ReyArizona State University (ASU) - GeoDa Center for Geospatial Analysis and Computation August 2012 Journal of Regional Science, Vol. 52, Issue 3, pp. 397-419, 2012 Abstract: In this paper, we introduce a new spatially constrained clustering problem called the max‐‐regions problem. It involves the clustering of a set of geographic areas into the maximum number of homogeneous regions such that the value of a spatially extensive regional attribute is above a predefined threshold value. We formulate the max‐‐regions problem as a mixed integer programming (MIP) problem, and propose a heuristic solution.
Number of Pages in PDF File: 23 Accepted Paper SeriesDate posted: July 26, 2012Suggested CitationContact Information
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