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The Effect of Spatial Structure on p -Median Results

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  • Dominique Peeters

    (Department of Geography, Université Catholique de Louvain, Louvain-la-Neuve, Belgium)

  • Isabelle Thomas

    (Department of Geography, Université Catholique de Louvain, Louvain-la-Neuve, Belgium)

Abstract

We test the sensitivity of the solutions of the p -median model to the shape of the underlying communication network. More precisely, the p -median problem is applied to 17 different networks representing various regular, radial, and circum-radial configurations. This study leads to interesting conclusions in the domain of regional economics and land planning and to striking illustrations of already discussed theoretical problems. This exploratory analysis hopefully opens up a broad avenue for further investigations.

Suggested Citation

  • Dominique Peeters & Isabelle Thomas, 1995. "The Effect of Spatial Structure on p -Median Results," Transportation Science, INFORMS, vol. 29(4), pages 366-373, November.
  • Handle: RePEc:inm:ortrsc:v:29:y:1995:i:4:p:366-373
    DOI: 10.1287/trsc.29.4.366
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    Cited by:

    1. Schilling, D. A. & Rosing, K. E. & ReVelle, C. S., 2000. "Network distance characteristics that affect computational effort in p-median location problems," European Journal of Operational Research, Elsevier, vol. 127(3), pages 525-536, December.
    2. Dominique Peeters & Isabelle Thomas, 2005. "Does the Shape of a Territory Influence the Locations of Human Activities? a Numerical Geography Approach," ERSA conference papers ersa05p56, European Regional Science Association.
    3. Bigotte, João F. & Krass, Dmitry & Antunes, António P. & Berman, Oded, 2010. "Integrated modeling of urban hierarchy and transportation network planning," Transportation Research Part A: Policy and Practice, Elsevier, vol. 44(7), pages 506-522, August.
    4. Melkote, Sanjay & Daskin, Mark S., 2001. "An integrated model of facility location and transportation network design," Transportation Research Part A: Policy and Practice, Elsevier, vol. 35(6), pages 515-538, July.
    5. Dominique Peeters & Jacques Thisse & Isabelle Thomas, 1998. "Transportation networks and the location of human activities," ERSA conference papers ersa98p268, European Regional Science Association.

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