Preprocessing for a map sectorization problem by means of mathematical programming

Xin Tang (), Ameur Soukhal () and Vincent T’kindt ()

Annals of Operations Research, 2014, vol. 222, issue 1, 569 pages

Abstract: The sectorization problem is a particular case of partitioning problems occurring in cartography. The aim is to partition a territory into sectors such that the statistical activity measure of each sector is as close as possible to a given target value. We model this as a problem of minimizing the maximum deviation among all the sectors between their activity measure and their target value. We propose a mathematical programming formulation for the problem, we add some valid inequalities to restrict the solution space and develop a preprocessing procedure to reduce the number of variables. Computational results on different maps highlight the strong efficiency of this reduction procedure. Copyright Springer Science+Business Media New York 2014

Keywords: Sectorization; Preprocessing; Mathematical programming (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s10479-013-1447-8

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