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Validating the Gravity-Based Competitive Location Model Using Inferred Attractiveness

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Abstract

The attractiveness of retail facilities is an essential component of models analyzing competition among retail facilities. In this paper we introduce an innovative method for inferring retail facility attractiveness. Readily available data from secondary sources about customers' buying power and sales volumes obtained by competing retail facilities are used. The gravity-based competitive facility location model is used to predict sales. The attractiveness of the retail facilities are inferred from these data.

The procedure is used to confirm the gravity competitive facility location model. Inferred attractiveness results based on empirical data from Orange County, California, were compared with an independent survey with excellent match.

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References

  1. D.R. Bell, T.-H. Ho and C.S. Tang, Determining where to shop: fixed and variable costs of shopping, Journal of Marketing Research 35 (1998) 352-370.

    Google Scholar 

  2. F.J. Cesario, Alternative models for spatial choice, Economic Geography 52 (1976) 363-373.

    Google Scholar 

  3. T. Drezner, Optimal continuous location of a retail facility, facility attractiveness, and market share: An interactive model, Journal of Retailing 70 (1994) 49-64.

    Google Scholar 

  4. T. Drezner, Locating a single new facility among existing, unequally attractive facilities, Journal of Regional Science 34 (1994) 237-252.

    Google Scholar 

  5. T. Drezner, Competitive facility location in the plane, in: Facility Location: A Survey of Applications and Methods, ed. Z. Drezner (Springer, New York, 1995).

    Google Scholar 

  6. T. Drezner, Location of multiple retail facilities with a limited budget, Journal of Retailing and Consumer Services 5 (1998) 173-184.

    Google Scholar 

  7. T. Drezner and Z. Drezner, Replacing discrete demand with continuous demand in a competitive facility location problem, Naval Research Logistics 44 (1997) 81-95.

    Google Scholar 

  8. Z. Drezner and T. Drezner, Applied location theory models, in: Modern Methods for Business Research, ed. G.A. Marcoulides (Lawrence Erlbaum Associates, Mahwah, NJ, 1998).

    Google Scholar 

  9. T. Drezner and Z. Drezner, Inferring attractiveness of shopping malls, Communications of the Operations Research Society of Japan 45 (2000) 444-451 (in Japanese).

    Google Scholar 

  10. T. Drezner, Z. Drezner and S. Salhi, Solving the multiple competitive facilities location problem, European Journal of Operational Research (2002) to appear.

  11. Z. Drezner and J. Guyse, Application of decision analysis techniques to the weber facility location problem, European Journal of Operational Research 116 (1999) 69-79.

    Google Scholar 

  12. T. Drezner, G. Marcoulides and Z. Drezner, A procedure for estimating the attractiveness of shopping malls, in: Proceedings of 29th Annual DSI Meeting, Vol. II, Las Vegas, NV (November 1998) pp. 1090-1092.

  13. R.V. Eastin, Entropy maximization and inferred ideal weights in public facility location, Environment and Planning A 7 (1975) 191-198.

    Google Scholar 

  14. R. Fourer, D.M. Gay and B.W. Kernighan, AMPL: A Modeling Language for Mathematical Programming (The Scientific Press, South San Francisco, 1993).

    Google Scholar 

  15. D.L. Huff, Defining and estimating a trade area, Journal of Marketing 28 (1964) 34-38.

    Google Scholar 

  16. D.L. Huff, A programmed solution for approximating an optimum retail location, Land Economics 42 (1966) 293-303.

    Google Scholar 

  17. A.K. Jain and V. Mahajan, Evaluating the competitive environment in retailing using multiplicative competitive interactive models, in: Research in Marketing, eds. Sheth and J. Greenwich (JAI Press, CT, 1979).

    Google Scholar 

  18. K.G. Jöreskog and D. Sörbom, LISREL VIII (Scientific Software, Chicago, IL, 1993).

    Google Scholar 

  19. R.F. Love, J.G. Morris and G.O. Wesolowsky, Facilities Location: Models and Methods (North-Holland, Amsterdam, 1988).

    Google Scholar 

  20. M. Nakanishi and L.G. Cooper, Parameter estimate for multiplicative interactive choice model: Least squares approach, Journal of Marketing Research 11 (1974) 303-311.

    Google Scholar 

  21. A. Okabe and H. Miller, Exact computational methods for calculating distances between objects in cartographic data base, Cartography and GIS 23 (1996) 180-195.

    Google Scholar 

  22. M.E. O'Kelly, Inferred ideal weights for multiple facilit, in: Facility Location: A Survey of Applications and Methods, ed. Z. Drezner (Springer, New York, 1995).

    Google Scholar 

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Drezner, T., Drezner, Z. Validating the Gravity-Based Competitive Location Model Using Inferred Attractiveness. Annals of Operations Research 111, 227–237 (2002). https://doi.org/10.1023/A:1020910021280

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