We present and analyze a minimalist model for the vertical transport of people in a tall building by elevators. We focus on start-of-day operation in which people arrive at the ground floor of the building at a fixed rate. When an elevator arrives on the ground floor, passengers enter until the elevator capacity is reached, and then they are transported to their destination floors. We determine the distribution of times that each person waits until an elevator arrives, the number of people waiting for elevators, and transition to synchrony for multiple elevators when the arrival rate of people is sufficiently large. We validate many of our predictions by event-driven simulations.

我们提出并分析了高层建筑中电梯人员垂直运输的极简模型。我们专注于人们以固定速度到达大楼底层的日常运营。当电梯到达底层时，乘客进入，直到达到电梯容量，然后他们被运送到目的地楼层。我们确定每个人等待电梯到达的时间分布，等待电梯的人数，以及当人的到达率足够大时过渡到多部电梯的同步。我们通过事件驱动的模拟来验证我们的许多预测。