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Published in:
2020 | OriginalPaper | Chapter
Train Scheduling: Hardness and Algorithms
Author : Christian Scheffer
Published in: WALCOM: Algorithms and Computation
Publisher: Springer International Publishing
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Abstract
We introduce the Train Scheduling Problem which can be described as follows: Given m trains via their tracks, i.e., curves in the plane, and the trains’ lengths, we want to compute a schedule that moves collision-free and with limited speed the trains along their tracks such that the maximal travel time is minimized. We prove that there is no FPTAS for the Train Scheduling Problem unless P = NP. Furthermore, we provide near-optimal runtime algorithms extending existing schedules.