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Location Strategy of Sports Oulets to Maximize the Market Share

시장 점유율을 최대로 할 수 있는 스포츠용품점 위치 결정 전략

  • 이상운 (강릉원주대학교 과학기술대학 멀티미디어공학과) ;
  • 이영숙 (강릉원주대학교 문화산업대학 패션디자인학과) ;
  • 최성범 (강릉원주대학교 예술체육대학 체육학과) ;
  • 한태용 (강릉원주대학교 문화산업대학 여성인력개발학과)
  • Received : 2013.01.03
  • Accepted : 2013.06.14
  • Published : 2013.06.30

Abstract

This paper suggests optimal location algorithm of new firm $A(F_A)^{\prime}s$ p(p$B(F_B)$ already operating q outlets of sports in the market. This algorithm selects top q nodes among $V=V{\backslash}F_B$ nodes that covers maximum nodes based on the shortest distance. Then, q nodes choose next node that has a maximum cover with inclusion-exclusion principle. At the time of same number of cardinality in q sets to pre-defined q, we select the maximum cover node set. This algorithm called by competitive algorithm. The competitive algorithm simply decides the optimal location of the outlets p=1,2,3,4 for q=5. Also, we show that the market share of competitive algorithm can be maximize.

본 논문은 경쟁업체 $F_B$가 q개의 상점을 운영하고 있는 상황에서 신규 업체 $F_A$가 시장 점유율을 최대로 하는 p,(p$V=V{\backslash}F_B$ 후보 노드들 중 최단거리를 기준으로 최대로 확보한 상위 노드들 q개를 선택하였다. q개 노드에 대해 포함-배제 원리를 적용하여 p개의 확보 고객수 합을 구해 경쟁을 통해 최대 값을 가진 노드 집합을 $F_A$의 상점 위치로 결정하는 경쟁 알고리즘이다. 제안된 경쟁 알고리즘은 q=5에 대해 p1,2,3,4의 상점 위치를 최적으로 간단히 결정하였으며, 시장 점유율도 최대로 높일 수 있음을 보였다.

Keywords

References

  1. D. Serra, C. ReVelle, and K. Rosing, "Surviving in a Competitive Spatial Market: The Threshold Capture Model", Journal of Regional Science, Vol. 39, Issue. 4, pp. 637-650, 1999. https://doi.org/10.1111/0022-4146.00153
  2. C. ReVelle, "Facility Siting and Integer- Friendly Programming", European Journal of Operational Research, Vol. 65, pp. 147-158, 1993. https://doi.org/10.1016/0377-2217(93)90329-L
  3. M. D. Ls, "Consumer Choice and Competitive Location Models", Dept. d'Economia i Empresa Tesi, Doctoral, Universitat Pompeu Fabra, 1998.
  4. R. C. Perales, "Consumer Choice in Competitive Location Models", Dept. d'Economia i Empresa Tesi, Doctoral, Universitat Pompeu Fabra, 2002.
  5. Wikipedia, "Inclusion-Exclusion Principle", http:// en.wikipedia.org/wiki/Inclusion_Exclusion_principle, Wikimedia Foundation, Inc, 2011.
  6. R. Swain, "A Parametric Decomposition Algorithm for the Solution of Uncapacitated Location Problems", Management Science, Vol. 21, pp. 189-198, 1974. https://doi.org/10.1287/mnsc.21.2.189
  7. W. J. Reilly, "The law of Retail Gravitation", New York. Knickerbocker Press, 1929.
  8. P. D. Converse, "New Laws of Retail Gravitation", Journal of Marketing 14, pp.379-384, 1949. https://doi.org/10.2307/1248191
  9. N. Masao and C. Lee, "Parameter Estimation for a Multiplicative Competitive Interaction Model - Least Squares Approach", Journal of Marketing Research, Vol. XI , pp. 303-11, 1974.
  10. J. P. Rodrigue, "The Geography of Transport Systems, 2nd Ed., Chapter 7. Hotelling Principle of Market Competition", Dept. of Global Studies & Geography, Hofstra University, 2011.
  11. C. ReVelle, "The Maximum Capture or Sphere of Influence Location problem: Hotelling revisited on a Network", Journal of Regional Science, Vol. 26, No. 2, 1986.
  12. D. R. Santos-Penate, R. Suarez-Vega, and P. Dorta-Gonzalez, "Localización competitiva con criterios basados en funciones de atraccion", XXIII Congreso Nacional de Estadistica e Investigacion Operativa. Valencia 11-14 de marzo de 1997.
  13. R. Ken, C. ReVelle and H. Rosing-Vogelaar, "The p-median Model and its Linear Programming Relaxation: an Approach to Large Problems", Journal of the Operational Research Society, Vol. 30, No. 9, pp. 815-823, 1979. https://doi.org/10.1057/jors.1979.192
  14. T. H. Cormen, C. E. Leiserson, R. L. Rivest, C. Stein, "Introduction to Algorithms (2nd Ed.), Section 24.3: Dijkstra's algorithm", MIT Press and McGraw-Hill. pp. 595-601, 2001.
  15. M. B. Choi, S. U. Lee, B. G. Kim, S. S. Joung, and T. Y. Han, "p-Facility Location Models," Journal of Korean Institute of Information Technology, Vol. 111, No. 6, pp. 193-205, Dec. 2011