Moving Walkways, Escalators, and Elevators

Details Moving Walkways, Escalators, and Elevators Moving Walkways, Escalators, and Elevators

2007-05-04

arxiv.org/abs/0705.0635v2

Computer Science

Computational Geometry

16 pages. Presented at XII Encuentros de Geometria Computacional, Valladolid, Spain

Scientific paper

We study a simple geometric model of transportation facility that consists of two points between which the travel speed is high. This elementary definition can model shuttle services, tunnels, bridges, teleportation devices, escalators or moving walkways. The travel time between a pair of points is defined as a time distance, in such a way that a customer uses the transportation facility only if it is helpful. We give algorithms for finding the optimal location of such a transportation facility, where optimality is defined with respect to the maximum travel time between two points in a given set.

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