Optimal facility operations models in the spatial-temporal dimension and its applications to urban analysis

设施选址问题是为设施使用者或设施所有者寻求服务设施的最佳选址。我们扩展设施选址问题，将时间维。基本的问题是确定设施的位置和开放时间，以便尽量增加潜在设施使用者的人数，这是指在服务时间内可以在其中一个设施停留的通勤者人数。还探讨了基本模型的几个扩展。我们将该模型应用于东京都市圈铁路网络，并使用东京都市圈的通勤交通流数据分析了几个设施的理想位置和开放时间。

Facility location problems seek optimal locations of service facilities for facility users or facility owners. We extend facility location problems by incorporating the temporal dimension. The basic problem is to determine locations and opening hours of facilities so as to maximize the number of potential facility users which is defined as the number of commuters who can stop over at one of the facilities during service hours. Several extensions of the basic model were also explored. We applied the model to Tokyo metropolitan railway network and analyzed desirable locations and opening hours of several facilities using the commuter traffic flow data in Tokyo metropolitan area.