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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
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    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.

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    Bibliographic Info

    Article provided by Elsevier in its journal Socio-Economic Planning Sciences.

    Volume (Year): 43 (2009)
    Issue (Month): 1 (March)
    Pages: 72-88

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    Handle: RePEc:eee:soceps:v:43:y:2009:i:1:p:72-88

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    Web page: http://www.elsevier.com/locate/seps

    Related research

    Keywords: Decision-making Districting problems Comparison indices Combinatorics;

    References

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    1. Bozkaya, Burcin & Erkut, Erhan & Laporte, Gilbert, 2003. "A tabu search heuristic and adaptive memory procedure for political districting," European Journal of Operational Research, Elsevier, vol. 144(1), pages 12-26, January.
    2. Andris A. Zoltners & Prabhakant Sinha, 1983. "Sales Territory Alignment: A Review and Model," Management Science, INFORMS, vol. 29(11), pages 1237-1256, November.
    3. Muyldermans, L. & Cattrysse, D. & Van Oudheusden, D. & Lotan, T., 2002. "Districting for salt spreading operations," European Journal of Operational Research, Elsevier, vol. 139(3), pages 521-532, June.
    4. Anuj Mehrotra & Ellis L. Johnson & George L. Nemhauser, 1998. "An Optimization Based Heuristic for Political Districting," Management Science, INFORMS, vol. 44(8), pages 1100-1114, August.
    5. Roy J. Shanker & Ronald E. Turner & Andris A. Zoltners, 1975. "Sales Territory Design: An Integrated Approach," Management Science, INFORMS, vol. 22(3), pages 309-320, November.
    6. Sidney W. Hess & Stuart A. Samuels, 1971. "Experiences with a Sales Districting Model: Criteria and Implementation," Management Science, INFORMS, vol. 18(4-Part-II), pages P41-P54, December.
    7. R. S. Garfinkel & G. L. Nemhauser, 1970. "Optimal Political Districting by Implicit Enumeration Techniques," Management Science, INFORMS, vol. 16(8), pages B495-B508, April.
    8. Kyungchul Park & Kyungsik Lee & Sungsoo Park & Heesang Lee, 2000. "Telecommunication Node Clustering with Node Compatibility and Network Survivability Requirements," Management Science, INFORMS, vol. 46(3), pages 363-374, March.
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