Queues are a fact of everyday life and understanding what makes the length of lines vary and how to minimize wait times is of course an important factor for any establishment that has to deal with customers. One of the things that fascinated me in my first statistics course was queuing theory that dealt with this very question. I remember one particular insight. If you look at any train or subway station that has three escalators that carry people between the platform and the street, you will find that it is almost always the case that two of them are going from the platform to the street level and only one the other way. This does not matter if the street level is above or below the platform, nor does it depend on the time of day. The reason is quite simple. People coming to catch a train arrive at random times and thus can be accommodated with a single escalator but when a train arrives at a station, it disgorges a whole bunch of people at once and this requires more exit capability. The 2-1 arrangement is designed to take care of that.
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