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Preprocessing for a map sectorization problem by means of mathematical programming

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  • Xin Tang
  • Ameur Soukhal
  • Vincent T’kindt

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

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  • Xin Tang & Ameur Soukhal & Vincent T’kindt, 2014. "Preprocessing for a map sectorization problem by means of mathematical programming," Annals of Operations Research, Springer, vol. 222(1), pages 551-569, November.
    • Handle: RePEc:spr:annopr:v:222:y:2014:i:1:p:551-569:10.1007/s10479-013-1447-8
    DOI: 10.1007/s10479-013-1447-8
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    4. Djordje Dugošija & Aleksandar Savić & Zoran Maksimović, 2020. "A new integer linear programming formulation for the problem of political districting," Annals of Operations Research, Springer, vol. 288(1), pages 247-263, May.

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