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Some Voronoi diagrams that consider consumer behavior analysis

  • Takashi Ohyama
Article

Abstract

In this paper, a few Voronoi diagrams that consider consumer behavior are proposed. We consider that consumers visit some shops until they find the desired goods. They select the best shop after visiting some shops. Using these Voronoi diagrams, it is found that shops have a tendency to form groups.

Key words

tour-distance consumer behavior comparison shopping 

References

  1. [1]
    M. Abellanas, F. Hurtado, V. Sacristan, C. Icking, L. Ma, R. Klein, E. Langetepe and B. Palop, Voronoi diagram for service neighboring a highway. Information Processing Letters,86 (2003), 283–288.MATHCrossRefMathSciNetGoogle Scholar
  2. [2]
    O. Aichholzer, F. Aurenhammer and B. Palop, Quickest paths, straight skeletons, and city Voronoi diagrams. Discrete and Computational Geometry,31 (2004), 17–35.MATHCrossRefMathSciNetGoogle Scholar
  3. [3]
    M.J. Beckmann and T. Puu, Spatial Structures, Springer-Verlag, 1990.Google Scholar
  4. [4]
    B. Boots and R. South, Modelling retail trade areas using higher-order, multiplicatively weighted Voronoi diagrams. J. of Retailing,73, No. 4 (1997), 519–538.CrossRefGoogle Scholar
  5. [5]
    W. Christaller, Die Zentralen Orte in Sddeutschland: Eine öknomisch-geographische Untersuchung über die Gesetzmässigkeit der Verbreitung und Entwicklung der Siedlungen mit städtischen Funktionen. Jena: Gustav Fisher, 1933.Google Scholar
  6. [6]
    H. Eguchi, M. Satou and M. Hattori, A state of customer’s circulation in commercial facilities complex-basic study (1) the use of commercial facilities complex planning. Summaries of Technical Papers of Annual Meeting Architectural Institute of Japan El, 1999, 463–464 (in Japanese).Google Scholar
  7. [7]
    K. Kasahara and M. Furuyama, A comparison studies for the Huff models, the opportunities models and the Voronoi diagram on the presumption of the commercial sphere: A case study of Kyoto city. Papers of City Planning,32 (1997). 115–120 (in Japanese).Google Scholar
  8. [8]
    T. Ohyama and T. Suzuki, Tour-distance Voronoi diagram and its application to location analysis. Transactions of the Japan Society for Industrial and Applied Mathematics,11, No. 1 (2001), 1–14 (in Japanese).Google Scholar
  9. [9]
    A. Okabe, B. Boots, K. Sugihara and S. Chiu, Spatial Tessellations: Concepts and Applications of Voronoi Diagrams (2nd Ed.). Chichester: John Wiley and Sons, 2000.Google Scholar
  10. [10]
    R. South and B. Boots, Relaxing the nearest center assumption in central place theory. Papers in Regional Science,78 (1999), 157–177.CrossRefGoogle Scholar

Copyright information

© JJIAM Publishing Committee 2005

Authors and Affiliations

  1. 1.Japan Knowledge Solutions Co., Ltd.TokyoJapan

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