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Column-generation based bounds for the Homogeneous Areas Problem

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  • Colombo, Fabio
  • Cordone, Roberto
  • Trubian, Marco

Abstract

Given an undirected graph and a collection of vertex subsets with suitable costs, we consider the problem of partitioning the graph into subgraphs of limited cost, splitting as little as possible the given subsets among different subgraphs. This problem originates from the organization of a region (the graph) including several towns (the vertices) into administrative areas (the subgraphs). The officers assigned to each area take care of activities which involve several towns at a time (the subsets). An activity involving towns from more areas engages the officers of all those areas, leading to redundancies which must be minimized.

Suggested Citation

  • Colombo, Fabio & Cordone, Roberto & Trubian, Marco, 2014. "Column-generation based bounds for the Homogeneous Areas Problem," European Journal of Operational Research, Elsevier, vol. 236(2), pages 695-705.
    • Handle: RePEc:eee:ejores:v:236:y:2014:i:2:p:695-705
    DOI: 10.1016/j.ejor.2013.12.030
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    1. David Pisinger & Stefan Ropke, 2010. "Large Neighborhood Search," International Series in Operations Research & Management Science, in: Michel Gendreau & Jean-Yves Potvin (ed.), Handbook of Metaheuristics, chapter 0, pages 399-419, Springer.
    2. Neng Fan & Panos Pardalos, 2010. "Linear and quadratic programming approaches for the general graph partitioning problem," Journal of Global Optimization, Springer, vol. 48(1), pages 57-71, September.
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