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Comparing two Territory Partitions in Districting Problems: Indices and Practical Issues

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Date
2009
Dewey
Recherche opérationnelle
Sujet
Decision-Making; Districting Problems; Comparison Indices; Combinatorics
JEL code
O21
Journal issue
Socio-Economic Planning Sciences
Volume
43
Number
1
Publication date
2009
Article pages
72-88
Publisher
Elsevier
DOI
http://dx.doi.org/10.1016/j.seps.2007.04.001
URI
https://basepub.dauphine.fr/handle/123456789/2897
Collections
  • LAMSADE : Publications
Metadata
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Author
Mousseau, Vincent
Tavares Pereira, Fernando
Figueira, José
Roy, Bernard
Type
Article accepté pour publication ou publié
Abstract (EN)
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 (Ile de France), France.

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