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

  • 제20권6호
  • /
  • Pages.77-85
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  • 2015
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  • 1598-849X(pISSN)
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  • 2383-9945(eISSN)
한국컴퓨터정보학회 (Korean Society of Computer Information)
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p-중앙 시설 위치선정 구성 알고리즘

A Constructive Algorithm for p-Median Facility Location

  • 이상운 (강릉원주대학교 멀티미디어공학과)
  • Lee, Sang-Un (Dept. of Multimedia Eng., Gangneung-Wonju National University)
  • 투고 : 2015.02.11
  • 심사 : 2015.04.19
  • 발행 : 2015.06.30
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⟨ 이전 논문 다음 논문 ⟩

초록

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.

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.

키워드

참고문헌

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