论文标题
等待时间悖论
The Waiting-Time Paradox
论文作者
论文摘要
假设您要上学并到达公交车站。您必须等多长时间才能到达下一辆公共汽车?令人惊讶的是,它比公交时间表的直觉所建议的时间更长 - 可能更长。这种现象称为等待时间悖论,具有纯粹的数学起源。不同的公共汽车以不同的间隔到达,导致了这个悖论。在本文中,我们探讨了等待时间的悖论,解释它发生的原因,并讨论了它的某些含义(超出了学校迟到的可能性)。
Suppose that you're going to school and arrive at a bus stop. How long do you have to wait before the next bus arrives? Surprisingly, it is longer - possibly much longer - than what the bus schedule suggests intuitively. This phenomenon, which is called the waiting-time paradox, has a purely mathematical origin. Different buses arrive with different intervals, leading to this paradox. In this article, we explore the waiting-time paradox, explain why it happens, and discuss some of its implications (beyond the possibility of being late for school).