Furthest neighbour distance distribution function: an application to evaluate the relationship between the density of city benches and the required continuous walking distance distribution
Furthest neighbour distance distribution function: an application to evaluate the relationship between the density of city benches and the required continuous walking distance distribution
复制标题
最远邻距离分布函数：评估城市长凳密度与所需连续步行距离分布之间关系的应用
DOI：
10.1007/s12061-022-09455-1
复制
发表时间：
2023
影响因子：
1.9
通讯作者：
Usui Hiroyuki
中科院分区：
文献类型：
--
作者：
松下静香;塩屋晋一;Usui Hiroyuki
为了帮助老年人在城市中行走，在规划城市长椅的位置时，应考虑他们的连续步行距离，定义为一个人在没有休息的情况下的最大步行距离。对于任何城市长凳，最远邻居的这种测量是唯一确定的，并且最远邻居距离（FND）可以被认为是到任何城市长凳所需的连续步行距离（简单地称为所需的连续步行距离）。FND分布是了解连续步行距离分布与随机分布的城市长椅数量之间关系的重要指标。一个FND分布函数还没有解析推导，但是，因此，本研究的目的是推导FND分布函数和随机分布的城市长椅的密度和所需的连续步行距离分布之间的关系进行评估。根据东京中央车站周围地区的城市长椅密度估计FND分布，其中明显缺乏城市长椅，表明城市长椅目前的位置需要老年人完成100至350 m的连续步行距离。东京中央车站周围地区的城市长椅的最佳数量是681，作为双目标优化问题的解决方案获得，该问题有效地最小化FND大于100 m的概率，以增加最近邻距离小于10 m的概率为代价。前者和后者的概率分别为0.01和0.33。
In order to help elderly people walk in the city, their continuous walking distance, defined as a person’s maximum walking distance without resting, should be considered when planning the locations of city benches. This measure of the furthest neighbour is uniquely determined for any city bench and the furthest neighbour distance (FND) can be regarded asthe required continuous walking distance to any city bench(simply calledthe required continuous walking distance). The FND distribution is an important measure with which to understand the relationship between the required continuous walking distance distribution and the number of city benches randomly distributed in a district. An FND distribution function has not been analytically derived, however, and so the objective of this study is to derive the FND distribution function and evaluate the relationship between the density of randomly distributed city benches and the required continuous walking distance distribution. Estimating the FND distribution according to the density of city benches in the districts around Tokyo Central Station, where there is a pronounced lack of city benches, demonstrates that the present location of city benches requires elderly people to complete continuous walking distances ranging from 100 to 350 m. The optimal number of city benches in the districts around Tokyo Central Station is 681, obtained as the solution to a bi-objective optimisation problem which efficiently minimises the probability that the FND is greater than 100 m at the expense of increasing the probability that the nearest neighbour distance is shorter than 10 m. The former and latter probabilities are 0.01 and 0.33, respectively.