Comparing two Territory Partitions in Districting Problems: Indices and Practical Issues
Mousseau, Vincent; Tavares Pereira, Fernando; Figueira, José; Roy, Bernard (2009), Comparing two Territory Partitions in Districting Problems: Indices and Practical Issues, Socio-Economic Planning Sciences, 43, 1, p. 72-88. http://dx.doi.org/10.1016/j.seps.2007.04.001
TypeArticle accepté pour publication ou publié
Journal nameSocio-Economic Planning Sciences
MetadataShow full item record
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.
Subjects / KeywordsDecision-Making; Districting Problems; Comparison Indices; Combinatorics
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