回転対称な起・終点分布の下での放射・環状距離分布 : Croftonの微分方程式の円盤への新しい応用例

概要

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This study is concerned with the distance distribution associated with a circular disk on which the origin and destination points are distributed radially symmetrically and mutually independently. Crofton's differential equation is generalaized for the case of circular disk and is applied to the derivation of the distance distribution. In this paper, circular-radial distance distributions are calculated explicitly for two types of point-distribution: (1) linear distribution and (2) exponential distribution. These are the first cases to achieve the explict derivation of distance distribution for non-uniform point-distributions. Our results are so easy to handle that they will be applied to many fundamental macro-scopic models on the efficiency of urban population and facility-location-design.
社団法人日本建築学会の論文
2005-10-30