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

Korean Society of Computer Information (한국컴퓨터정보학회)
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A Polynomial Time Algorithm for Aircraft Landing Problem

항공기 착륙 문제의 다항시간 알고리즘

  • Lee, Sang-Un (Dept. of Multimedia Eng., Gangneung-Wonju National University)
  • 이상운 (강릉원주대학교 멀티미디어공학과)
  • Received : 2014.06.17
  • Accepted : 2014.08.24
  • Published : 2014.09.30
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Abstract

The optimal solution of minimum cost for aircraft landing problem(ALP) is very difficult problem because the approached aircraft are random time interval. Therefore this problem has been applied by various meta heuristic methods. This paper suggests O(nlog n) polynomial time heuristic algorithm to obtain the optimal solution for ALP. This algorithm sorts the target time of aircraft into ascending order. Then we apply the optimization of change the landing sequence take account of separation time and the cost of landing. For the Airland1 through Airland8 of benchmark data of ALP, we choose 25 data until the number of runway m that the total landing cost is 0. We can be obtain the optimal solution for all of the 25 data. Especially we can be improve the known optimal solution for m = 1of Airland8.

공항에 불규칙한 시간간격으로 접근하는 항공기들을 최소의 비용으로 착륙시키는 항공기 착륙 문제 (ALP)는 최적 해를 구하기 어려워 다양한 메타휴리스틱 방법들이 제안되고 있다. 본 논문에서는 ALP에 대해 O(nlog n)의 다항시간으로 최적 해를 구하는 휴리스틱 알고리즘을 제안한다. 제안된 알고리즘은 착륙 목표시간 오름차순으로 정렬시키고, 항공기들 간의 분리 시간과 착륙 비용을 고려하여 착륙순서를 변경시킨 최적화 과정을 수행하는 방법을 적용하였다. ALP에 대한 예제 데이터인 Airland1 ~ Airland8에 대해 소요비용이 0이 되는 활주로 개수 m까지 25개 데이터를 실험한 결과 모든 데이터에 대해 최적 해를 구하였다. 특히, Airland8의 m = 1 데이터에 대해서는 기존에 알려진 최적 해를 개선하였다.

Keywords

References

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