论文标题
在乘客随机流入下电梯的动态行为
Dynamic behavior of elevators under random inflow of passengers
论文作者
论文摘要
电梯可以被视为由随机到达的乘客的电话驱动的振荡器。我们通过数值和分析研究下降峰值期间的电梯的动态行为。我们假设新的乘客根据泊松工艺到达每个楼层，并致电电梯下楼。我们从数值上检查单个电梯的往返时间如何取决于每个楼层的乘客的流入率，并考虑到发生呼叫的地板的组合，通过自搭配方程来重现它。通过设置订单参数，我们表明两台电梯的同步无关最终目的地（无论电梯还是没有到达顶层）。这表明电梯的自发排序是从泊松噪声中出现的。考虑到通过存在乘客的相互作用和缺乏体积排除的相互作用，我们还通过一个自一致的方程来重现两个电梯的往返时间。这些结果表明，这种相互作用稳定并表征了电梯的自发排序。
Elevators can be regarded as oscillators driven by the calls of passengers who arrive randomly. We study the dynamic behavior of elevators during the down peak period numerically and analytically. We assume that new passengers arrive at each floor according to a Poisson process and call the elevators to go down to the ground floor. We numerically examine how the round-trip time of a single elevator depends on the inflow rate of passengers at each floor and reproduce it by a self-consistent equation considering the combination of floors where call occurs. By setting an order parameter, we show that the synchronization of two elevators occurs irrespective of final destination (whether the elevators did or did not go to the top floor). It indicates that the spontaneous ordering of elevators emerges from the Poisson noise. We also reproduce the round-trip time of two elevators by a self-consistent equation considering the interaction through the existence of passengers and the absence of volume exclusion. Those results suggest that such interaction stabilizes and characterizes the spontaneous ordering of elevators.
