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Facility Dependent Distance Decay in Competitive Location

Author

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  • Tammy Drezner

    (California State University-Fullerton)

  • Zvi Drezner

    (California State University-Fullerton)

  • Dawit Zerom

    (California State University-Fullerton)

Abstract

In this paper we propose a simple general framework for obtaining facility dependent distance decay function in competitive location models. As the distance increases, the decay in patronage by more attractive facilities is slower than the decay by less attractive facilities. This implies that by using only the distribution patterns of neighborhoods from which facility’s patrons originated, the facility dependent decay approach implicitly accounts for the varying degrees of facilities’ attractiveness. No modifications are required in order to apply existing solution algorithms to the new model. The effectiveness and accuracy of the new approach is demonstrated using a real data set.

Suggested Citation

  • Tammy Drezner & Zvi Drezner & Dawit Zerom, 2020. "Facility Dependent Distance Decay in Competitive Location," Networks and Spatial Economics, Springer, vol. 20(4), pages 915-934, December.
    • Handle: RePEc:kap:netspa:v:20:y:2020:i:4:d:10.1007_s11067-020-09507-4
    DOI: 10.1007/s11067-020-09507-4
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    References listed on IDEAS

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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. Hakimi, S. Louis, 1983. "On locating new facilities in a competitive environment," European Journal of Operational Research, Elsevier, vol. 12(1), pages 29-35, January.
    3. Saidani, Nasreddine & Chu, Feng & Chen, Haoxun, 2012. "Competitive facility location and design with reactions of competitors already in the market," European Journal of Operational Research, Elsevier, vol. 219(1), pages 9-17.
    4. H. A. Eiselt, 2011. "Equilibria in Competitive Location Models," International Series in Operations Research & Management Science, in: H. A. Eiselt & Vladimir Marianov (ed.), Foundations of Location Analysis, chapter 0, pages 139-162, Springer.
    5. Zvi Drezner & Atsuo Suzuki, 2004. "The Big Triangle Small Triangle Method for the Solution of Nonconvex Facility Location Problems," Operations Research, INFORMS, vol. 52(1), pages 128-135, February.
    6. T Drezner & Z Drezner & P Kalczynski, 2012. "Strategic competitive location: improving existing and establishing new facilities," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 63(12), pages 1720-1730, December.
    7. T Drezner & Z Drezner & P Kalczynski, 2011. "A cover-based competitive location model," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(1), pages 100-113, January.
    8. Tammy Drezner & Zvi Drezner, 2004. "Finding the optimal solution to the Huff based competitive location model," Computational Management Science, Springer, vol. 1(2), pages 193-208, July.
    9. Drezner, Zvi, 1982. "Competitive location strategies for two facilities," Regional Science and Urban Economics, Elsevier, vol. 12(4), pages 485-493, November.
    10. H. A. Eiselt & Vladimir Marianov & Tammy Drezner, 2015. "Competitive Location Models," Springer Books, in: Gilbert Laporte & Stefan Nickel & Francisco Saldanha da Gama (ed.), Location Science, edition 127, chapter 0, pages 365-398, Springer.
    11. Tammy Drezner, 2019. "Gravity Models in Competitive Facility Location," International Series in Operations Research & Management Science, in: H. A. Eiselt & Vladimir Marianov (ed.), Contributions to Location Analysis, chapter 0, pages 253-275, Springer.
    12. Kress, Dominik & Pesch, Erwin, 2012. "Sequential competitive location on networks," European Journal of Operational Research, Elsevier, vol. 217(3), pages 483-499.
    13. Frank A. Fetter, 1924. "The Economic Law of Market Areas," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 38(3), pages 520-529.
    14. Aboolian, Robert & Berman, Oded & Krass, Dmitry, 2007. "Competitive facility location and design problem," European Journal of Operational Research, Elsevier, vol. 182(1), pages 40-62, October.
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    Cited by:

    1. Tammy Drezner & Morton O’Kelly & Zvi Drezner, 2023. "Multipurpose shopping trips and location," Annals of Operations Research, Springer, vol. 321(1), pages 191-208, February.
    2. Xianyuan Chang & Zhaoping Wu & Yi Chen & Yuanyuan Du & Longfei Shang & Ying Ge & Jie Chang & Guofu Yang, 2021. "The Booming Number of Museums and Their Inequality Changes in China," Sustainability, MDPI, vol. 13(24), pages 1-19, December.
    3. Zvi Drezner & Dawit Zerom, 2023. "Competitive facility location under attrition," Computational Management Science, Springer, vol. 20(1), pages 1-19, December.
    4. Tammy Drezner & Zvi Drezner & Dawit Zerom, 2023. "The Obnoxious Competitive Facility Location Model," Networks and Spatial Economics, Springer, vol. 23(4), pages 885-903, December.
    5. Dolores R. Santos-Peñate & Rafael R. Suárez-Vega & Carmen Florido de la Nuez, 2023. "A Location-allocation Model for Bio-waste Management in the Hospitality Sector," Networks and Spatial Economics, Springer, vol. 23(3), pages 611-639, September.

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