The First Optimized Railway Timetable in Practice
Published Online:9 Oct 2008https://doi.org/10.1287/trsc.1080.0240
References
- Minimum cycle bases for network graphs. Algorithmica (2004) 40(1):51–62Crossref, Google Scholar
- Modern Graph Theory, Graduate Texts in Mathematics (2002) 184(Springer, New York) . 2nd printingGoogle Scholar
- A column-generation approach to line planning in public transport. Transportation Sci. (2007) 41:123–132Link, Google Scholar
- An auctioning approach to railway slot allocation. Competition Regulation Network Industries (2006) 1:163–196Crossref, Google Scholar
- Solving difficult MIP problems using GAMS and CONDOR. Presentation Oper. Res. Conf. (2006) Karlsruhe, GermanyGoogle Scholar
- Discrete optimization in public rail transport. Math. Programming B (1997) 79:415–444Crossref, Google Scholar
- Modeling and solving the train timetabling problem. Oper. Res. (2002) 50(5):851–861Link, Google Scholar
- , Daduna J. R., Branco I., Paixao J. M. P. Practical experiences in schedule synchronization. CASPT (1995) 430(Springer, Berlin) 39–55Lecture Notes in Economics and Mathematical SystemsCrossref, Google Scholar
- Algorithms for generating fundamental cycles in a graph. ACM Trans. Math. Software (1982) 8(1):26–42Crossref, Google Scholar
- , Hoffmann K. H., Jäger W., Lohmann T., Schunck H. Optimierung des Fahrzeugumlaufs im öffentlichen Nahverkehr. Mathematik—Schlüsseltechnologie Für die Zukunft (1997) (Springer, Berlin) 609–624Crossref, Google Scholar
- , Bugliesi M., Preneel B., Sassone V., Wegener I. A faster deterministic algorithm for minimum cycle bases in directed graphs. Automata, Languages and Programming: 33rd International Colloquium, ICALP 2006 (2006) 4051(Springer, Berlin) 250–261Lecture Notes in Computer ScienceCrossref, Google Scholar
- A polynomial-time algorithm to find the shortest cycle basis of a graph. SIAM J. Comput. (1987) 16(2):358–366Crossref, Google Scholar
- Schneller umsteigen. Berliner Zeitung (2005) 61(262, November 9):12Google Scholar
- , Diaz J., Karhumäki J., Lepistö A., Sanella D. A faster algorithm for minimum cycle basis of graphs. Automata, Languages and Programming: 31st International Colloquium, ICALP 2004 (2004) 3142(Springer, Berlin) 846–857Lecture Notes in Computer ScienceCrossref, Google Scholar
- Bessere Anschlüsse von U-Bahn zu U-Bahn. BVG Profil (Employee Newsletter of Berliner Verkehrsbetriebe) (2005) 4:11Google Scholar
- , Di Battista G., Zwick U. Finding short integral cycle bases for cyclic timetabling. Algorithms: ESA 2003 (2003) 2832(Springer, Berlin) 715–726Lecture Notes in Computer ScienceCrossref, Google Scholar
- , Nikoletseas S. E. A cut-based heuristic to produce almost feasible periodic railway timetables. Experimental and Efficient Algorithms: 4th International Workshop, WEA 2005 (2005a) 3503(Springer, Berlin) 354–366Lecture Notes in Computer ScienceCrossref, Google Scholar
- Der Berliner U-Bahn Fahrplan 2005—Realisierung eines mathematisch optimierten Angebotskonzeptes. HEUREKA '05: Optimierung in Transport und Verkehr, Tagungsbericht, No. 002/81 (2005b) (FGSV Verlag, Cologne, Germany) Google Scholar
- Fahrplanoptimierung im Personenverkehr—Muss es immer ITF sein? Eisenbahntechnische Rundschau (2005c) 54(11):689–702Google Scholar
- Periodic timetable optimization in public transport. (2006) . Dissertation, dissertation.de-Verlag im Internet GmbH, Berlin. http://www.dissertation.de/buch.php3?buch=4788Google Scholar
- A case study in periodic timetabling. Electronic Notes Theoret. Comput. Sci. (2002) 66(6):18–31Crossref, Google Scholar
- Information on MIPLIB's timetab-instances. (2003) . Preprint 049/2003, Mathematical Institute, Technische Universität Berlin, BerlinGoogle Scholar
- , Geraets F., Kroon L., Schöbel A., Wagner D., Zaroliagis C. The modeling power of the periodic event scheduling problem: Railway timetables—and beyond. ATMOS 2004 (2007) 4359(Springer, Berlin) 3–40Lecture Notes in Computer ScienceCrossref, Google Scholar
- On cyclic timetabling and cycles in graphs. (2002) . Technical Report 761-2002, Mathematical Institute, Technische Universität Berlin, BerlinGoogle Scholar
- A greedy approach to compute a minimum cycle basis of a directed graph. Inf. Process. Lett. (2005) 94(3):107–112Crossref, Google Scholar
- Classes of cycle bases. Discrete Appl. Math. (2007) 155(3):337–355Crossref, Google Scholar
- , Hickman M., Mirchandani P., Voß S. Performance of algorithms for periodic timetable optimization. Computer-Aided Systems in Public Transport (CASPT 2004) (2008) 600(Springer, Berlin) 151–180Lecture Notes in Economics and Mathematical SystemsCrossref, Google Scholar
- Train schedule optimization in public rail transport. (2000) . Ph.D. thesis, Technische Universität Braunschweig, Braunschweig, GermanyGoogle Scholar
- Exact solution methods for periodic programs. (1993) . Hildesheimer Informatik-Berichte 14/93, Universität Hildesheim, Hildesheim, GermanyGoogle Scholar
- Cutting planes for a polyhedron associated with a periodic network. (1996) . Institutsbericht IB 112-96/17, Deutsche Forschungsanstalt für Luft- und Raumfahrt e.V, July, Braunschweig, GermanyGoogle Scholar
- Periodic network optimization and fixed interval timetables. (1998) . Habilitation thesis, DLR Report 113-99/02, Universität Hildesheim, Hildesheim, GermanyGoogle Scholar
- A genetic algorithm approach to periodic railway synchronization. Comput. Oper. Res. (1996) 23(5):453–463Crossref, Google Scholar
- Construction of periodic timetables, Part 1: A cutting plane algorithm. (1994) . Technical Report 94-61, Technische Universiteit Delft, Delft, The NetherlandsGoogle Scholar
- A constraint generation algorithm for the construction of periodic railway timetables. Transportation Res. B (1996) 30(6):455–464Crossref, Google Scholar
- Optimization, approximation, and complexity classes. J. Comput. System Sci. (1991) 43(3):425–440Crossref, Google Scholar
- Dienstregelingontwikkeling voor Nederlandse Spoorwegen N.S. (1993) . Rapport Fase 1, Centrum voor Wiskunde en Informatica, Oktober, AmsterdamnGoogle Scholar
- SenStadt (Senatsverwaltung für Stadtentwicklung) Nahverkehrsplan des Landes Berlin—Fortschreibung 2000/2001 und 2004. (2001) (SenStadt, Berlin)Google Scholar
- A mathematical model for periodic scheduling problems. SIAM J. Discrete Math. (1989) 2(4):550–581Crossref, Google Scholar
- How well can a graph be n-colored? Discrete Math. (1981) 34:69–80Crossref, Google Scholar
- Optimizing timetable synchronization for rail mass transit. Transportation Sci. (2008) 42(1):57–69Link, Google Scholar

