Single Track Train Scheduling. In proceedings of the 7th Multidisciplinary International Conference on Scheduling : Theory and Applications (MISTA 2015), 25 - 28 Aug 2015, Prague, Czech Republic, pages 102-117, 2015.
Paper
In this work we consider the Single Track Train Scheduling Problem. The problem consists in scheduling a set of trains from opposite sides along a single track. The track passes intermediate stations and the trains are only allowed to pass each other at those stations. This problem has a close relation to minimizing the makespan in a job shop scheduling problem with two counter routes and no preemption. We develop a lower bound on the objective value of the train scheduling problem which provides us with an easy solution methodinsomespecialcases.Thecontrastincomplexitytotheanalogousjobshopscheduling problem is highlighted. Additionally, we prove the pseudo-polynomial solvability for a more general setting of the train scheduling problem.
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@INPROCEEDINGS{2015-102-117-P, author = {J. Harbering and A. Ranade and M. Schmidt },
title = {Single Track Train Scheduling},
booktitle = {In proceedings of the 7th Multidisciplinary International Conference on Scheduling : Theory and Applications (MISTA 2015), 25 - 28 Aug 2015, Prague, Czech Republic},
year = {2015},
editor = {Z. Hanzalek and G. Kendall and B. McCollum and P. Sucha},
pages = {102--117},
note = {Paper},
abstract = { In this work we consider the Single Track Train Scheduling Problem. The problem consists in scheduling a set of trains from opposite sides along a single track. The track passes intermediate stations and the trains are only allowed to pass each other at those stations. This problem has a close relation to minimizing the makespan in a job shop scheduling problem with two counter routes and no preemption. We develop a lower bound on the objective value of the train scheduling problem which provides us with an easy solution methodinsomespecialcases.Thecontrastincomplexitytotheanalogousjobshopscheduling problem is highlighted. Additionally, we prove the pseudo-polynomial solvability for a more general setting of the train scheduling problem.},
owner = {Graham},
timestamp = {2017.01.16},
webpdf = {2015-102-117-P.pdf} }