References
- Bell, D., Ho, T., & Tang, C. (1998). Determining where to shop: Fixed and variable costs of shopping. Journal of Marketing Research, 35(3), 352–369. https://doi.org/10.1177/002224379803500306
- Berman, O., Drezner, T., Drezner, Z., & Krass, D. (2009). Modeling competitive facility location problems: New approaches and results. In M. Oskoorouchi (Ed.), TutORials in operations research (pp. 156–181). INFORMS.
- Berman, O., & Krass, D. (1998). Flow intercepting spatial interaction model: A new approach to optimal location of competitive facilities. Location Science, 6(1–4), 41–65. https://doi.org/10.1016/S0966-8349(98)00047-3
- Christaller, W. (1966). Central places in Southern Germany. Prentice-Hall.
- Downs, R. M. (1970). The cognitive structure of an urban shopping center. Environment and Behavior, 2(1), 13–39. https://doi.org/10.1177/001391657000200102
- Drezner, T. (1994a). Locating a single new facility among existing unequally attractive facilities. Journal of Regional Science, 34(2), 237–252. https://doi.org/10.1111/j.1467-9787.1994.tb00865.x
- Drezner, T. (1994b). Optimal continuous location of a retail facility, facility attractiveness, and market share: An interactive model. Journal of Retailing, 70(1), 49–64. https://doi.org/10.1016/0022-4359(94)90028-0
- Drezner, T. (1995). Competitive facility location in the plane. In Z. Drezner (Ed.), Facility location: A survey of applications and methods (pp. 285–300). Springer.
- Drezner, T. (2006). Derived attractiveness of shopping malls. IMA Journal of Management Mathematics, 17(4), 349–358. https://doi.org/10.1093/imaman/dpl004
- Drezner, T. (2019). Gravity models in competitive facility location. In H. A. Eiselt, & V. Marianov (Eds.), Contributions to location analysis - In honor of Zvi Drezner’s 75th Birthday (pp. 253–275). Springer.
- Drezner, T. (2021). Competitive location problems. In S. Salhi, & J. E. Boylan (Eds.), The Palgrave handbook of operations research. London: Palgrave.
- Drezner, Z. (1982). Competitive location strategies for two facilities. Regional Science and Urban Economics, 12(4), 485–493. https://doi.org/10.1016/0166-0462(82)90003-5
- Drezner, T., & Drezner, Z. (1996). Competitive facilities: Market share and location with random utility. Journal of Regional Science, 36(1), 1–15. https://doi.org/10.1111/j.1467-9787.1996.tb01098.x
- Drezner, T., & Drezner, Z. (1997). Replacing discrete demand with continuous demand in a competitive facility location problem. Naval Research Logistics, 44(1), 81–95. https://doi.org/10.1002/(SICI)1520-6750(199702)44:1<81::AID-NAV5>3.0.CO;2-I
- Drezner, T., & Drezner, Z. (2004). Finding the optimal solution to the Huff competitive location model. Computational Management Science, 1(2), 193–208. https://doi.org/10.1007/s10287-004-0009-6
- Drezner, T., Drezner, Z., & Eiselt, H. A. (1996). Consistent and inconsistent rules in competitive facility choice. Journal of the Operational Research Society, 47(12), 1494–1503. https://doi.org/10.1057/jors.1996.193
- Drezner, T., Drezner, Z., & Kalczynski, P. (2011). A cover-based competitive location model. Journal of the Operational Research Society, 62(1), 100–113. https://doi.org/10.1057/jors.2009.153
- Drezner, T., Drezner, Z., & Kalczynski, P. (2012). Strategic competitive location: Improving existing and establishing new facilities. Journal of the Operational Research Society, 63(12), 1720–1730. https://doi.org/10.1057/jors.2012.16
- Drezner, T., Drezner, Z., & Kalczynski, P. (2020a). A gradual cover competitive facility location model. Or Spectrum, 42(2), 333–354. https://doi.org/10.1007/s00291-020-00585-x
- Drezner, T., Drezner, Z., & Zerom, D. (2018). Competitive facility location with random attractiveness. Operations Research Letters, 46(3), 312–317. https://doi.org/10.1016/j.orl.2018.02.008
- Drezner, T., Drezner, Z., & Zerom, D. (2020b). Facility dependent distance decay in competitive location. Networks and Spatial Economics, 20(4), 915–934. https://doi.org/10.1007/s11067-020-09507-4
- Drezner, T., Marcouldies, G., Drezner, Z. (1998). Methods for comparing the attractiveness of shopping centers. In Proceedings of the DSI meeting, Las Vegas, vol. 2, pp. 1090––1092. November, 1998.
- Eiselt, H. A. (2011). Equilibria in competitive location models. In H. A. Eiselt & V. Marianov (Eds.), Foundations of location analysis (pp. 139–162).
- Eiselt, H. A., Marianov, V., & Drezner, T. (2015). Competitive location models. In G. Laporte, S. Nickel, & F. S. da Gama (Eds.), Location science (pp. 365–398). New York: Springer.
- Fetter, F. A. (1924). The economic law of market areas. The Quarterly Journal of Economics, 38(3), 520–529. https://doi.org/10.2307/1882335
- Ghosh, A., & Rushton, G. (1987). Spatial analysis and location-allocation models. Van Nostrand Reinhold Company.
- Gill, P. E., Murray, W., & Saunders, M. A. (2005). SNOPT: An SQP algorithm for large-scale constrained optimization. SIAM Review, 47(1), 99–131. https://doi.org/10.1137/S0036144504446096
- Hakimi, S. L. (1983). On locating new facilities in a competitive environment. European Journal of Operational Research, 12(1), 29–35. https://doi.org/10.1016/0377-2217(83)90180-7
- Hakimi, S. L. (1986). p-Median theorems for competitive location. Annals of Operations Research, 6(4), 75–98. https://doi.org/10.1007/BF02032873
- Hakimi, S. L. (1990). Locations with spatial interactions: Competitive locations and games. In P. B. Mirchandani & R. L. Francis (Eds.), Discrete location theory (pp. 439–478). Wiley-Interscience.
- Hodgson, M. J. (1981). A location-allocation model maximizing consumers’ welfare. Regional Studies, 15(6), 493–506. https://doi.org/10.1080/09595238100185441
- Hotelling, H. (1929). Stability in competition. The Economic Journal, 39(153), 41–57. https://doi.org/10.2307/2224214
- Huff, D. L. (1964). Defining and estimating a trade area. Journal of Marketing, 28(3), 34–38. https://doi.org/10.1177/002224296402800307
- Huff, D. L. (1966). A programmed solution for approximating an optimum retail location. Land Economics, 42(3), 293–303. https://doi.org/10.2307/3145346
- Jain, A. K., & Mahajan, V. (1979). Evaluating the competitive environment in retailing using multiplicative competitive interactive models. In J. N. Sheth (Ed.), Research in marketing (Vol. 2, pp. 217–235). JAI Press.
- Launhardt, W. (1885). Mathematische Begründung der Volkswirthschaftslehre. W. Engelmann.
- Leonardi, G., & Tadei, R. (1984). Random utility demand models and service location. Regional Science and Urban Economics, 14(3), 399–431. https://doi.org/10.1016/0166-0462(84)90009-7
- Lösch, A. (1954). The economics of location. Yale University Press.
- Nakanishi, M., & Cooper, L. G. (1974). Parameter estimate for multiplicative interactive choice model: Least squares approach. Journal of Marketing Research, 11, 303–311.
- Prosperi, D. C., & Schuler, H. J. (1976). An alternate method to identify rules of spatial choice. Geographical Perspectives, 38, 33–38.
- Reilly, W. J. (1931). The law of retail gravitation. Knickerbocker Press.
- ReVelle, C. (1986). The maximum capture or sphere of influence problem: Hotelling revisited on a network. Journal of Regional Science, 26(2), 343–357. https://doi.org/10.1111/j.1467-9787.1986.tb00824.x
- Schuler, H. J. (1981). Grocery shopping choices: Individual preferences based on store attractiveness and distance. Environment and Behavior, 13(3), 331–347. https://doi.org/10.1177/0013916581133005
- Serra, D., & ReVelle, C. (1995). Competitive location in discrete space. In Z. Drezner (Ed.), Facility location: A survey of applications and methods (pp. 367–386). Springer.
- Timmermans, H. (1982). Consumer choice of shopping centre: An information integration approach. Regional Studies, 16(3), 171–182. https://doi.org/10.1080/09595238200185201
- Timmermans, H. (1988). Multipurpose trips and individual choice behaviour: An analysis using experimental design data. In R.G. Golledge & H. J. P. Timmermans (Eds.), Behavioural Modelling in Geography and Planning (pp. 356–367). Croom Helm.
- Wilson, A. G. (1976). Retailers’ profits and consumers’ welfare in a spatial interaction shopping mode. In I. Masser (Ed.), Theory and practice in regional science (pp. 42–59). Pion.