My examples understate the real life problem though.
This missing factor is that it also costs more shaft time to serve a higher floor with a longer travel distance than it does a lower floor with a shorter travel distance. So in the simple elevator case, people from floor one hundred are going to be spending more time in the shaft than people from floor ten.
Still not exponential, but cubic-ish growth puts a hard limit on things.
Right, that also explains the concepts of 'express' elevators and lobby floors.
Due to the passengers the rate of travel for an elevator is not constant:
* There's a maximum rate of acceleration and deceleration that people are comfortable with.
* A longer travel distance means more time to speed up / slow down.
* Thus an elevator or two which are dedicated to operate at the longer distance travel that distance at a more effective speed and provide more rapid service.
* Even more importantly, it also cuts down on the number of slow elevator shafts necessary to service floors by allowing them to be stacked.
My examples understate the real life problem though.
This missing factor is that it also costs more shaft time to serve a higher floor with a longer travel distance than it does a lower floor with a shorter travel distance. So in the simple elevator case, people from floor one hundred are going to be spending more time in the shaft than people from floor ten.
Still not exponential, but cubic-ish growth puts a hard limit on things.