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Distance predicting functions and applied location-allocation models

Author

Listed:
  • Dominique Peeters

    (Department of Geography, Center of Operations Research and EconometricsUniversité catholique de Louvain, 1348 Louvain-la-Neuve, Belgium)

  • Isabelle Thomas

    (Department of Geography, Center of Operations Research and EconometricsUniversité catholique de Louvain, 1348 Louvain-la-Neuve, Belgium)

Abstract

. Distances between demand points and potential sites for implementing facilities are essential inputs to location-allocation models. Computing actual road distances for a given problem can be quite burdensome since it involves digitalizing a network, while approximating these distances by l p -norms, using for instance a geographical information system, is much easier. We may then wonder how sensitive the solutions of a location-allocation model are to the choice of a particular metric. In this paper, simulations are performed on a lattice of 225 points using the k-median problem. Systematic changes in p and in the orientation of the orthogonal reference axes are used. Results suggest that the solutions of the k-median are rather insensitive to the specification of the l p -norm.

Suggested Citation

  • Dominique Peeters & Isabelle Thomas, 2000. "Distance predicting functions and applied location-allocation models," Journal of Geographical Systems, Springer, vol. 2(2), pages 167-184, July.
    • Handle: RePEc:kap:jgeosy:v:2:y:2000:i:2:d:10.1007_pl00011453
    DOI: 10.1007/PL00011453
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    8. Fengying Yan & Ningyu Huang & Yehui Zhang, 2022. "How Can the Layout of Public Service Facilities Be Optimized to Reduce Travel-Related Carbon Emissions? Evidence from Changxing County, China," Land, MDPI, vol. 11(8), pages 1-24, July.
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    10. Turkensteen, Marcel & Klose, Andreas, 2012. "Demand dispersion and logistics costs in one-to-many distribution systems," European Journal of Operational Research, Elsevier, vol. 223(2), pages 499-507.
    11. Alan T. Murray & Antonio Ortiz & Seonga Cho, 2022. "Enhancing strategic defensive positioning and performance in the outfield," Journal of Geographical Systems, Springer, vol. 24(2), pages 223-240, April.
    12. Meihan Jin & Lu Liu & De Tong & Yongxi Gong & Yu Liu, 2019. "Evaluating the Spatial Accessibility and Distribution Balance of Multi-Level Medical Service Facilities," IJERPH, MDPI, vol. 16(7), pages 1-19, March.
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    14. Ying Chen & Jiale Wu, 2022. "The Effect of the Referral System on the Accessibility of Healthcare Services: A Case Study of the Wuhan Metropolitan Development Zone," IJERPH, MDPI, vol. 19(16), pages 1-14, August.

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