Evaluating reliability of facility location using the kth nearest distance distribution

本研究的目的是评估部分设施关闭时设施选址的可靠性。从顾客到第k个最近的设施的距离分布推导了规则和随机模式的设施。作为第k个最近距离的应用，我们考察了当一些设施关闭时到最近的开放设施的距离。得到路网上的第k个最近距离分布，以确认在连续平面上的距离给出了路网距离的估计。

The purpose of this research is to evaluate the reliability of facility location when some of the facilities are closed. The distribution of the distance from customers to the kth nearest facility is derived for regular and random patterns of facilities. As an application of the kth nearest distance, we examine the distance to the nearest open facility when some of the facilities are closed. The kth nearest distance distribution on a road network is also obtained to confirm that the distance on a continuous plane gives an estimate for the network distance.