본 논문에서는 그리드 분할과 매핑함수에 기반하여 영역질의 성능향상을 위해서 기존에 제시된 디클러스터링 방법들을 다차원 공간에 대해서 적용할 때의 문제점을 분석하고 해결법을 제시한다. 다차원 공간에 대해서 기존에 제시된 방법들을 적용할 때의 문제점은 각 차원의 분할 횟수가 적고(대부분 이진 분할이 발생함) 극히 작은 선택률에 대해서도 영역질의 각 차원의 길이가 커지기 때문에 발생한다. 본 논문에서는 이를 해결하기 위하여 다차원 공간의 다양한 그리드 분할방법에 대해서 수학적으로 성능을 예측하는 모델을 제시한다. 제시한 수학 모델을 이용하여 가능한 다양한 그리드 분할 방법들 가운데 영역질의와 겹치는 그리드 셀의 수를 감소시키는 분할 방법을 선택할 수 있으며, 이는 디클러스터링 알고리즘의 전체 성능 향상으로 귀결된다. 다양한 실험결과, 본 논문에서 제시한 분할 방법을 적용할 때, 기존에 제시된 디클러스터링 알고리즘의 성능을 최대 2.7배까지 향상시킬 수 있음을 알 수 있었다.
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