A branch and bound algorithm for scheduling trains in a railway network

European Journal of Operational Research

Volumn 183, Issue 2, 2007, Pages 643-657

  D'Ariano, Andrea ^a   Pacciarelli, Dario ^b   Pranzo, Marco ^c  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b ROMA TRE UNIVERSITY   (Italy)

^c UNIVERSITY OF SIENA   (Italy)

Author keywords

Alternative graph; Branch and bound algorithm; Real time conflict resolution; Train scheduling

Indexed keywords

ALGORITHMS; BRANCH AND BOUND METHOD; COMPUTATION THEORY; GRAPH THEORY; RAILROAD TRANSPORTATION; SCHEDULING; TRAFFIC CONTROL;

ALTERNATIVE GRAPH; JOB SHOP SCHEDULING; REAL-TIME CONFLICT RESOLUTION; TRAIN SCHEDULING;

PROBLEM SOLVING;

EID: 34249982545     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ejor.2006.10.034     Document Type: Article

References (25)

1. Adenso-Di{dotless}́az B., Oliva González M., and González-Torre P. On-line timetable rescheduling in regional train services. Transportation Research Part B 33 (1999) 387-398
2. Brännlund U., Lindberg P.O., Nöu A., and Nilsson J.E. Railway timetabling using lagrangian relaxation. Transportation Science 32 (1998) 358-369
3. Caprara A., Fischetti M., and Toth P. Modeling and solving the train timetabling problem. Operations Research 50 (2002) 851-861
4. Carlier J. The one-machine sequencing problem. European Journal of Operational Research 11 (1982) 42-47
5. Carlier J., and Pinson E. An algorithm for solving the job-shop problem. Management Science 35 2 (1989) 164-176
6. Carlier J., and Pinson E. Adjustment of heads and tails for the job-shop problem. European Journal of Operational Research 78 (1994) 146-161
7. Cordeau J.F., Toth P., and Vigo D. A survey of optimization models for train routing and scheduling. Transportation Science 32 4 (1998) 380-420
8. Dessouky M.M., Lu Q., Zhao J., and Leachman R.C. An exact solution procedure to determine the optimal dispatching times for complex rail networks. IIE Transaction 38 2 (2006) 141-152
9. Dorfman M.J., and Medanic J. Scheduling trains on a railway network using a discrete event model of railway traffic. Transportation Research Part B 38 (2004) 81-98
10. Fay A. A fuzzy knowledge-based system for railway traffic control. Engineering Application of Artificial Intelligence 13 (2000) 719-729
11. R. Hemelrijk, J. Kruijer, D.K. de Vries, Schiphol tunnel 2007. Description of the situation, Internal report, Holland Railconsult, Utrecht, The Netherlands, 2003.
12. Higgins A., Kozan E., and Ferreira L. Optimal scheduling of trains on a single line track. Transportation Research Part B 30 (1996) 147-161
13. Higgins A., and Kozan E. Heuristic techniques for single line train scheduling. Journal of Heuristics 3 (1997) 43-62
14. J.R. Jackson, Scheduling a production line to minimize maximum tardiness, Research Report 43, Management Science Research Project, University of California, Los Angeles, USA, 1955.
15. Jovanovic D., and Harker P.T. Tactical scheduling of train operations: The SCAN I system. Transportation Science 25 (1991) 46-64
16. Kauppi A., Wikstrm J., Sandblad B., and Andersson A.W. Future train traffic control: Control by re-planning. Cognition Technology and Work 8 1 (2006) 50-56
17. Kraft E. A branch and bound procedure for optimal train dispatching. Journal of the Transportation Research Forum 28 3 (1987) 263-276
18. Mascis A., and Pacciarelli D. Job shop scheduling with blocking and no-wait constraints. European Journal of Operational Research 143 3 (2002) 498-517
19. Nie L., and Hansen I.A. System analysis of train operations and track occupancy at railway stations. European Journal of Transport and Infrastructure Research 5 1 (2005) 31-54
20. E. Oliveira, B.M. Smith, A Job-Shop Scheduling Model for the Single-Track Railway Scheduling Problem, School of Computing Research Report 2000.21, University of Leeds, England, 2000.
21. Pachl J. Railway Operation and Control Mountlake Terrace (2002), VTD Rail Publishing
22. L. Ping, N. Axin, J. Limin, W. Fuzhang, Study on intelligent train dispatching, in: Proceedings of IEEE Intelligent Transportation Systems Conference, Oakland, USA, 25-29 August 2001.
23. Şahin I. Railway traffic control and train scheduling based on inter-train conflict management. Transportation Research Part B 33 (1999) 511-534
24. A.A.M. Schaafsma, Dynamic traffic management - innovative solution for the Schiphol bottleneck 2007, in: Proceedings of the First International Seminar on Railway Operations Modelling and Analysis, Delft, The Netherlands, 8-10 June 2005.
25. Szpigel B. Optimal Train Scheduling on a Single Track Railway. In: Ross M. (Ed). Operational Research '72 (1973), Amsterdam, The Netherlands 343-352