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The gravity p-median model

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  • Drezner, Tammy
  • Drezner, Zvi

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  • Drezner, Tammy & Drezner, Zvi, 2007. "The gravity p-median model," European Journal of Operational Research, Elsevier, vol. 179(3), pages 1239-1251, June.
    • Handle: RePEc:eee:ejores:v:179:y:2007:i:3:p:1239-1251
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    1. David L. Huff, 1966. "A Programmed Solution for Approximating an Optimum Retail Location," Land Economics, University of Wisconsin Press, vol. 42(3), pages 293-303.
    2. Michael B. Teitz & Polly Bart, 1968. "Heuristic Methods for Estimating the Generalized Vertex Median of a Weighted Graph," Operations Research, INFORMS, vol. 16(5), pages 955-961, October.
    3. 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.
    4. Tammy Drezner & Zvi Drezner, 2001. "A Note on Applying the Gravity Rule to the Airline Hub Problem," Journal of Regional Science, Wiley Blackwell, vol. 41(1), pages 67-72, February.
    5. S. L. Hakimi, 1965. "Optimum Distribution of Switching Centers in a Communication Network and Some Related Graph Theoretic Problems," Operations Research, INFORMS, vol. 13(3), pages 462-475, June.
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    Cited by:

    1. Tao Zhuolin & Zheng Qingjing & Kong Hui, 2018. "A Modified Gravity p-Median Model for Optimizing Facility Locations," Journal of Systems Science and Information, De Gruyter, vol. 6(5), pages 421-434, October.
    2. 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.
    3. Burcin Bozkaya & Seda Yanik & Selim Balcisoy, 2010. "A GIS-Based Optimization Framework for Competitive Multi-Facility Location-Routing Problem," Networks and Spatial Economics, Springer, vol. 10(3), pages 297-320, September.
    4. 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.
    5. Kalczynski, Pawel & Drezner, Zvi, 2022. "The Obnoxious Facilities Planar p-Median Problem with Variable Sizes," Omega, Elsevier, vol. 111(C).
    6. Jaroslav Janáček & Marek Kvet, 2017. "Semi-fair design of emergency service system with failing centers," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 25(3), pages 665-677, September.
    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. Zhengna Song & Tinggan Yan & Yunjian Ge, 2018. "Spatial Equilibrium Allocation of Urban Large Public General Hospitals Based on the Welfare Maximization Principle: A Case Study of Nanjing, China," Sustainability, MDPI, vol. 10(9), pages 1-23, August.
    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. Lei, Ting L. & Church, Richard L., 2015. "On the unified dispersion problem: Efficient formulations and exact algorithms," European Journal of Operational Research, Elsevier, vol. 241(3), pages 622-630.
    12. 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.
    13. Jaroslav Janáček, 2015. "Public service system design with fuzzy parameters of perceived utility," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 23(3), pages 595-606, September.
    14. Vladimir Marianov & Daniel Serra, 2009. "Median problems in networks," Economics Working Papers 1151, Department of Economics and Business, Universitat Pompeu Fabra.
    15. Carling, Kenneth & Han, Mengjie & Håkansson, Johan & Meng, Xiangli & Rudholm, Niklas, 2014. "Measuring CO2 Emissions Induced by Online and Brick-and-mortar Retailing," HUI Working Papers 106, HUI Research.
    16. Haase, Knut & Hoppe, Mirko, 2008. "Standortplanung unter Wettbewerb - Teil 1: Grundlagen," Discussion Papers 2/2008, Technische Universität Dresden, "Friedrich List" Faculty of Transport and Traffic Sciences, Institute of Transport and Economics.
    17. Kim, Dong-Guen & Kim, Yeong-Dae, 2010. "A branch and bound algorithm for determining locations of long-term care facilities," European Journal of Operational Research, Elsevier, vol. 206(1), pages 168-177, October.
    18. Erdogan, Günes & Cordeau, Jean-François & Laporte, Gilbert, 2010. "The Attractive Traveling Salesman Problem," European Journal of Operational Research, Elsevier, vol. 203(1), pages 59-69, May.

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