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Comparing two territory partitions in districting problems: Indices and practical issues

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  • Tavares Pereira, Fernando
  • Figueira, José Rui
  • Mousseau, Vincent
  • Roy, Bernard

Abstract

Planning as part of public sector decision-making situations is an activity of critical importance, with direct relevance for urban planners. The ramifications of such decisions generally have significant effect on peoples' lives. The current paper deals with the comparison between territorial maps in the context of districting problems with a strong socio-economic component. The theoretical problem involves the comparison of two partitions in a connected, undirected, and planar graph. In considering this problem, we introduce three new indices to compare territory partitions: compatibility, inclusion, and distance, all of which have importance for real-world planning situations. Numerical experiments of these indices were carried out for the communes network in (I^le de France), France.

Suggested Citation

  • Tavares Pereira, Fernando & Figueira, José Rui & Mousseau, Vincent & Roy, Bernard, 2009. "Comparing two territory partitions in districting problems: Indices and practical issues," Socio-Economic Planning Sciences, Elsevier, vol. 43(1), pages 72-88, March.
    • Handle: RePEc:eee:soceps:v:43:y:2009:i:1:p:72-88
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    1. Camacho-Collados, M. & Liberatore, F. & Angulo, J.M., 2015. "A multi-criteria Police Districting Problem for the efficient and effective design of patrol sector," European Journal of Operational Research, Elsevier, vol. 246(2), pages 674-684.
    2. Sebastián Moreno & Jordi Pereira & Wilfredo Yushimito, 2020. "A hybrid K-means and integer programming method for commercial territory design: a case study in meat distribution," Annals of Operations Research, Springer, vol. 286(1), pages 87-117, March.

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