Stochastic location models applied to multipurpose shopping trips

References

• Abramowitz, M., & Stegun, I. (1972). Handbook of mathematical functions. Dover Publications Inc.
   Google Scholar
• Arentze, T. A., Oppewal, H., & Timmermans, H. J. (2005). A multipurpose shopping trip model to assess retail agglomeration effects. Journal of Marketing Research, 42(1), 109–115. https://doi.org/10.1509/jmkr.42.1.109.56884
   Web of Science ®Google Scholar
• 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
   Web of Science ®Google Scholar
• Berman, O., Hodgson, M. J., & Krass, D. (1995). Flow interception problems. In Z. Drezner (Ed.), Facility location: A survey of applications and methods (pp. 389–426). Springer.
   Google Scholar
• Berman, O., & Huang, R. (2007). The minimum multipurpose trip location problem on networks. Transportation Science, 41(4), 500–515. https://doi.org/10.1287/trsc.1060.0186
   Web of Science ®Google Scholar
• Byrne, T., & Kalcsics, J. (2022). Conditional facility location problems with continuous demand and a polygonal barrier. European Journal of Operational Research, 296(1), 22–43. https://doi.org/10.1016/j.ejor.2021.02.032
   Web of Science ®Google Scholar
• Drezner, T. (2006). Derived attractiveness of shopping malls. IMA Journal of Management Mathematics, 17(4), 349–358. https://doi.org/10.1093/imaman/dpl004
   Google Scholar
• Drezner, T. (2022). Competitive location problems. In S. Salhi & J. E. Boylan (Eds.), The Palgrave handbook of operations research (pp. 209–236). Springer.
   Google Scholar
• 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
   Web of Science ®Google Scholar
• 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
   Web of Science ®Google Scholar
• Drezner, T., & Drezner, Z. (2017). Leader-follower models in facility location. In Spatial interaction models (pp. 73–104). Springer.
   Google Scholar
• Drezner, T., & Drezner, Z. (2021). Asymmetric distance location model. INFOR: Information Systems and Operational Research, 59(1), 102–110. https://doi.org/10.1080/03155986.2020.1789386
   Web of Science ®Google Scholar
• 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/10.2307/3010607
   Web of Science ®Google Scholar
• 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
   Web of Science ®Google Scholar
• Drezner, T., Drezner, Z., & Kalczynski, P. (2015). A leader-follower model for discrete competitive facility location. Computers & Operations Research, 64, 51–59. https://doi.org/10.1016/j.cor.2015.04.012
   Web of Science ®Google Scholar
• Drezner, T., Drezner, Z., & Suzuki, A. (2019). A cover based competitive facility location model with continuous demand. Naval Research Logistics, 66(7), 565–581. https://doi.org/10.1002/nav.21868
   Web of Science ®Google Scholar
• Drezner, T., & Eiselt, H. A. (2002). Consumers in competitive location models. In Z. Drezner & H. W. Hamacher (Eds.), Facility location: Applications and theory (pp. 151–178). Springer-Verlag.
   Google Scholar
• Drezner, T., O’Kelly, M., & Drezner, Z. (2023). Multipurpose shopping trips and location. Annals of Operations Research, 321(1–2), 191–208. https://doi.org/10.1007/s10479-022-04946-3
   Web of Science ®Google Scholar
• Drezner, Z. (2001). The maximum possible EVPI. INFORMS Transactions on Education, 1(3), 117–118. https://doi.org/10.1287/ited.1.3.117
   Google Scholar
• Drezner, Z., & Suzuki, A. (2004). The big triangle small triangle method for the solution of non-convex facility location problems. Operations Research, 52(1), 128–135. https://doi.org/10.1287/opre.1030.0077
   Web of Science ®Google Scholar
• Drezner, Z., & Wesolowsky, G. O. (1989). The asymmetric distance location problem. Transportation Science, 23(3), 201–207. https://doi.org/10.1287/trsc.23.3.201
   Web of Science ®Google Scholar
• Ghosh, A., & McLafferty, S. (1987). Location strategies for retail firms and service firms. DC.
   Google Scholar
• Ghosh, A., McLafferty, S., & Craig, C. S. (1995). Multifacility retail networks. In Z. Drezner (Ed.), Facility location: A survey of applications and methods (pp. 301–330). Springer.
   Google Scholar
• Goodwin, P., & Wright, G. (2014). Decision analysis for management judgment. John Wiley and Sons.
   Google Scholar
• Hansen, P., Peeters, D., & Thisse, J.-F. (1981). On the location of an obnoxious facility. Sistemi Urbani, 3, 299–317.
   Google Scholar
• Hodgson, M. J. (1981). The location of public facilities intermediate to the journey to work. European Journal of Operational Research, 6, 199–204.
   Web of Science ®Google Scholar
• Huff, D. L. (1964). Defining and estimating a trade area. Journal of Marketing, 28(3), 34–38. https://doi.org/10.2307/1249154
   Web of Science ®Google Scholar
• 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
   Web of Science ®Google Scholar
• Ingene, C. A., & Ghosh, A. (2010). Consumer and producer behavior in a multipurpose shopping environment. Geographical Analysis, 22(1), 70–93. https://doi.org/10.1111/j.1538-4632.1990.tb00197.x
   Google Scholar
• Johnson, N. L., Kotz, S., & Balakrishnan, N. (1994). Beta distributions. In Continuous univariate distributions (2nd ed., pp. 221–235). John Wiley and Sons.
   Google Scholar
• Küçükayd In, H., Aras, N., & Kuban Alt Inel, İ. (2012). A leader–follower game in competitive facility location. Computers & Operations Research, 39(2), 437–448. https://doi.org/10.1016/j.cor.2011.05.007
   Web of Science ®Google Scholar
• 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
   Web of Science ®Google Scholar
• Lloyd, P. E., & Dicken, P. (1977). Location in space: A theoretical approach to economic geography. Harper and Row.
   Google Scholar
• Lüer-Villagra, A., Marianov, V., Eiselt, H., & Méndez-Vogel, G. (2022). The leader multipurpose shopping location problem. European Journal of Operational Research, 302(2), 470–481. https://doi.org/10.1016/j.ejor.2022.01.016
   Web of Science ®Google Scholar
• Marianov, V., Eiselt, H. A., & Lüer-Villagra, A. (2018). Effects of multipurpose shopping trips on retail store location in a duopoly. European Journal of Operational Research, 269(2), 782–792. https://doi.org/10.1016/j.ejor.2018.02.024
   Web of Science ®Google Scholar
• Marianov, V., Eiselt, H. A., & Lüer-Villagra, A. (2020). The follower competitive location problem with comparison-shopping. Networks and Spatial Economics, 20(2), 367–393. https://doi.org/10.1007/s11067-019-09481-6
   Web of Science ®Google Scholar
• McLafferty, S. L., & Ghosh, A. (2010). Multipurpose shopping and the location of retail firms. Geographical Analysis, 18(3), 215–226. https://doi.org/10.1111/j.1538-4632.1986.tb00094.x
   Google Scholar
• Méndez-Vogel, G., Marianov, V., Lüer-Villagra, A., & Eiselt, H. A. (2023). Store location with multipurpose shopping trips and a new random utility customers’ choice model. European Journal of Operational Research, 305(2), 708–721. https://doi.org/10.1016/j.ejor.2022.06.008
   Web of Science ®Google Scholar
• Minieka, E. (1980). Conditional centers and medians on a graph. Networks, 10(3), 265–272. https://doi.org/10.1002/net.3230100307
   Web of Science ®Google Scholar
• O’Kelly, M. E. (1983). Impacts of multistop, multipurpose trips on retail distributions. Urban Geography, 4, 173–190.
   Google Scholar
• Plastria, F. (1992). On destination optimality in asymmetric distance Fermat-Weber problems. Annals of Operations Research, 40(1), 355–369. https://doi.org/10.1007/BF02060487
   Google Scholar
• Puerto, J., Rodríguez-Chía, A. M., & Tamir, A. (2009). Minimax regret single-facility ordered median location problems on networks. INFORMS Journal on Computing, 21(1), 77–87. https://doi.org/10.1287/ijoc.1080.0280
   Web of Science ®Google Scholar
• Reilly, W. J. (1931). The law of retail gravitation. Knickerbocker Press.
   Google Scholar
• Stackelberg, H. V. (1934). Marktform und Gleichgewicht. Julius Springer.
   Google Scholar
• Suzuki, T., & Hodgson, M. J. (2005). Optimal facility location with multi-purpose trip making. IIE Transactions, 37(5), 481–491. https://doi.org/10.1080/07408170590918263
   Web of Science ®Google Scholar
• 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.
   Google Scholar
• Winston, W. L., & Albright, S. C. (2016). Practical management science (6th ed.). Nelson Education.
   Google Scholar
• Winston, W. L., & Goldberg, J. B. (2004). Operations research: Applications and algorithms (Vol. 3). Thomson Brooks/Cole Belmont.
   Google Scholar