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Two station single track railway scheduling problem with equal speed of trains

Evgeny R. Gafarov 1, 2, 3 Alexandre Dolgui 4 Alexander Lazarev 3
1 DEMO-ENSMSE - Département Décision en Entreprise : Modélisation, Optimisation
2 LIMOS - Laboratoire d'Informatique, de Modélisation et d'optimisation des Systèmes
3 ICS RAS - Trapeznikov Institute of Control Sciences
4 Laboratoire en Sciences et Technologies de l'Information
LIMOS - Laboratoire d'Informatique, de Modélisation et d'optimisation des Systèmes, DEMO-ENSMSE - Département Décision en Entreprise : Modélisation, Optimisation
Abstract : The single track railway scheduling problem with two stations and Q segments of the track is considered. Two subsets of trains N′1 and N′2 are given, where trains from N′1 go from the station 1 to the station 2, and trains from N′2 go in the opposite direction. The speed of trains over each segment is the same. A polynomial time reduction from the problem under consideration to a special case of the single machine equalprocessing- time scheduling problem with setup times is presented. For this special case with different objective function under different constraints, polynomial time solution algorithms are presented.
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Conference papers
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https://hal-emse.ccsd.cnrs.fr/emse-00904061
Contributor : Florent Breuil <>
Submitted on : Wednesday, November 13, 2013 - 4:14:24 PM
Last modification on : Wednesday, August 4, 2021 - 3:42:04 PM

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  • HAL Id : emse-00904061, version 1

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EMSE | DEMO-ENSMSE | FAYOL-ENSMSE | CNRS | LIMOS | PRES_CLERMONT | TDS-MACS | INSTITUT-TELECOM | SIGMA-CLERMONT

Citation

Evgeny R. Gafarov, Alexandre Dolgui, Alexander Lazarev. Two station single track railway scheduling problem with equal speed of trains. 21st International Symposium on Mathematical Programming (ISMP 2012), Aug 2012, Berlin, Germany. p 116. ⟨emse-00904061⟩

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