Journal of the Korea Society of Computer and Information (한국컴퓨터정보학회논문지)

Korean Society of Computer Information (한국컴퓨터정보학회)
권호 표지
DOI QR코드

DOI QR Code

A Constructive Algorithm for p-Median Facility Location

p-중앙 시설 위치선정 구성 알고리즘

  • Lee, Sang-Un (Dept. of Multimedia Eng., Gangneung-Wonju National University)
  • 이상운 (강릉원주대학교 멀티미디어공학과)
  • Received : 2015.02.11
  • Accepted : 2015.04.19
  • Published : 2015.06.30
Download PDF
⟨ Previous Next ⟩

Abstract

This paper proposes a location algorithm that locates newly built p-facilities in the optimal area with minimum cost in a city of n districts. This problem has been classified as NP-hard, to which no polynomial time algorithm exists. The proposed algorithm improves the shortcomings of existing Myopic algorithm by constructing until p-facilities and exchanging locations of p-th facility for p=[1, n-1]. When applied to experimental data of n=5, 7, 10, 55, the proposed algorithm has obtained an approximate value nearest possible to the optimal solution take precedence of reverse-delete method. This algorithm is also simply executable using Excel.

본 논문은 n개의 행정구역으로 구성된 도시에 p개의 시설을 신규로 설치하는 경우, 비용이 최소가 되는 최적의 시설 위치를 선정하는 알고리즘을 제안하였다. 이 문제는 정확한 해를 찾는 다항시간 알고리즘이 제안되지 않아 NP-난제로 분류되어 있다. 제안된 방법은 p=[1, n-1]에 대해 먼저 노드들을 증가시키는 방법으로 p개를 선택하고, p번째 선택된 시설 위치를 교체하는 방법을 적용하여 기존의 Myopic 알고리즘의 단점을 개선하였다. 제안된 알고리즘은 n=5, 7, 10, 55인 데이터에 적용한 결과 역-삭제 방법에 비해 최적 해에 가장 근사한 해를 구할 수 있었으며, 엑셀을 활용해 간단히 구현할 수 있는 장점도 있다.

Keywords

References

  1. H. A. Eiselt and C-L, Sandblom, "Decision Analysis, Location Models, and Scheduling Problems, Part II: Location and Layout Decisions, Chapter 2. Location models on Networks", Springer-Verlag Berlin Heidelberg, pp. 169-210, 2004.
  2. H. Jia, F. Ordonez, and M. Dessouky, "A Modeling Framework for Facility Location of Medical Services for Large-Scale Emergencies", IIE Transactions, Vol. 39, Issue. 1, pp. 41-55, 2007. https://doi.org/10.1080/07408170500539113
  3. H. K. Smith, G. Laporte, and P. R. Harper, "Locational Analysis: Highlights of Growth to Maturity", Journal of the Operational Research Society, Vol. 60, Supplement 1, pp. s140-s148, 2009. https://doi.org/10.1057/jors.2008.172
  4. L. Caccetta and M. Dzator, "Heuristic Methods for Locating Emergency Facilities", Annual Conference of Economists ACE07, The Economic Society of Australia, 2007.
  5. 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
  6. D. Serra, and C. Revelle, "Market Capture by Two Competitors: The Pre-Emptive Location Problem", Economics Working Paper 39, Dept. of Economics and Business, Universitat Pompeu Fabra, 1993.
  7. D. Serra, and C. Revelle, "Competitive Location in Discrete Space", Economics Working Paper 96, Dept. of Economics and Business, Universitat Pompeu Fabra, 1994.
  8. S. H. Owen and M. S. Daskin, 'Strategic Facility Location: A Review", European Journal of Operational Research, Vol. 11, Issue. 3, pp. 423-447, 1998.
  9. M. Dzator and J. A. Dzator, "Locating Emergency Facilities: Targeting Efficiency and Cost-Effectiveness", 36th Australian Conference of Economists, Hobart, 2007.
  10. M. B. Choi, S. U. Lee, B. K. Kim, S. S. Jeung, and T. Y. Han, "p-Facility Location Models," Journal of IIBC, Vol. 11, No. 6, pp. 193-205, Dec. 2011.
  11. C. Dibble, "GEOG 430/788P, Location Theory and Spatial Analysis," http://www.geog.umd.edu/homepage/courses/cdibble/geog430/lectures/geog430_09_x1.pdf, 2003.