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Does Euclidean distance work well when the p-median model is applied in rural areas?

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  • Kenneth Carling
  • Mengjie Han
  • Johan Håkansson

Abstract

The p-median model is used to locate P centers to serve a geographically distributed population. A cornerstone of such a model is the measure of distance between a service center and demand points, i.e. the location of the population (customers, pupils, patients, and so on). Evidence supports the current practice of using Euclidean distance. However, we find that the location of multiple hospitals in a rural region of Sweden with a non-symmetrically distributed population is quite sensitive to distance measure, and somewhat sensitive to spatial aggregation of demand points. Copyright Springer Science+Business Media, LLC 2012

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  • Kenneth Carling & Mengjie Han & Johan Håkansson, 2012. "Does Euclidean distance work well when the p-median model is applied in rural areas?," Annals of Operations Research, Springer, vol. 201(1), pages 83-97, December.
    • Handle: RePEc:spr:annopr:v:201:y:2012:i:1:p:83-97:10.1007/s10479-012-1214-2
    DOI: 10.1007/s10479-012-1214-2
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    References listed on IDEAS

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    1. Richard Church, 2003. "COBRA: A New Formulation of the Classic p-Median Location Problem," Annals of Operations Research, Springer, vol. 122(1), pages 103-120, September.
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    5. Mladenovic, Nenad & Brimberg, Jack & Hansen, Pierre & Moreno-Perez, Jose A., 2007. "The p-median problem: A survey of metaheuristic approaches," European Journal of Operational Research, Elsevier, vol. 179(3), pages 927-939, June.
    6. David F. Rogers & Robert D. Plante & Richard T. Wong & James R. Evans, 1991. "Aggregation and Disaggregation Techniques and Methodology in Optimization," Operations Research, INFORMS, vol. 39(4), pages 553-582, August.
    7. R. Francis & T. Lowe & M. Rayco & A. Tamir, 2009. "Aggregation error for location models: survey and analysis," Annals of Operations Research, Springer, vol. 167(1), pages 171-208, March.
    8. S. L. Hakimi, 1964. "Optimum Locations of Switching Centers and the Absolute Centers and Medians of a Graph," Operations Research, INFORMS, vol. 12(3), pages 450-459, June.
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    Citations

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    Cited by:

    1. Kenneth Carling & Xiangli Meng, 2015. "Confidence in heuristic solutions?," Journal of Global Optimization, Springer, vol. 63(2), pages 381-399, October.
    2. Kenneth Carling & Xiangli Meng, 2016. "On statistical bounds of heuristic solutions to location problems," Journal of Combinatorial Optimization, Springer, vol. 31(4), pages 1518-1549, May.
    3. Carling, Kenneth & Han, Mengjie & Håkansson, Johan & Rebreyend, Pascal, 2012. "Distance measure and the p-median problem in rural areas," HUI Working Papers 78, HUI Research.
    4. Chiara Cortinovis & Grazia Zulian & Davide Geneletti, 2018. "Assessing Nature-Based Recreation to Support Urban Green Infrastructure Planning in Trento (Italy)," Land, MDPI, vol. 7(4), pages 1-20, September.
    5. Carling, Kenneth & Håkansson, Johan, 2013. "A compelling argument for the gravity p-median model," European Journal of Operational Research, Elsevier, vol. 226(3), pages 658-660.
    6. Carling, Kenneth & Håkansson, Johan & Jia, Tao, 2013. "Out-of-Town Shopping and Its Induced CO2-Emissions," HUI Working Papers 87, HUI Research.
    7. Carling, Kenneth & Han, Mengjie & Håkansson, Johan & Rebreyend, Pascal, 2015. "Testing the gravity p-median model empirically," Operations Research Perspectives, Elsevier, vol. 2(C), pages 124-132.
    8. Dimitrios Tsiotas & Serafeim Polyzos, 2015. "Introducing a new centrality measure from the transportation network analysis in Greece," Annals of Operations Research, Springer, vol. 227(1), pages 93-117, April.
    9. Carling, Kenneth & Han, Mengjie & Håkansson, Johan & Rebreyend, Pascal, 2013. "An Empirical Test of the Gravity p-Median Model," HUI Working Papers 90, HUI Research.
    10. Carling, Kenneth & Håkansson, Johan, 2012. "A compelling argument for the gravity p-median model," HUI Working Papers 77, HUI Research.
    11. McArthur, David Philip & Gregersen, Fredrik A. & Hagen, Terje P., 2014. "Modelling the cost of providing ambulance services," Journal of Transport Geography, Elsevier, vol. 34(C), pages 175-184.
    12. Carling, Kenneth & HÃ¥kansson, Johan & Jia, Tao, 2013. "Out-of-town shopping and its induced CO2-emissions," Journal of Retailing and Consumer Services, Elsevier, vol. 20(4), pages 382-388.
    13. Kenneth Carling & Mengjie Han & Johan Håkansson & Pascal Rebreyend, 2015. "Distance measure and the $$p$$ p -median problem in rural areas," Annals of Operations Research, Springer, vol. 226(1), pages 89-99, March.
    14. Batta, Rajan & Lejeune, Miguel & Prasad, Srinivas, 2014. "Public facility location using dispersion, population, and equity criteria," European Journal of Operational Research, Elsevier, vol. 234(3), pages 819-829.

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