GIS-理論と応用
Online ISSN : 2185-5633
Print ISSN : 1340-5381
ISSN-L : 1340-5381
多角形領域で一様に分布する点から固定点への直線距離の平均値と2次の積率
平均直線距離の等高線の描画法
栗田 治
著者情報
ジャーナル フリー

2001 年 9 巻 1 号 p. 29-37

詳細
抄録
We consider a polygonal region where end points of trips are uniformly distributed. The first objective of our study is to calculate the first and the second moments of the Euclidean distance between a fixed point and end points uniformly distributed in the polygon. The second objective is to propose a way to draw contours for the average distance. In the preparation process of drawing the contours, the Weber point is calculated for the given polygon. And we confirm that the minimizer of the second moment of Euclidean distance is the centroid of the polygon. The results of our study will be applied to facility location analyses.
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