Single-track train timetabling with guaranteed optimality: Branch-and-bound algorithms with enhanced lower bounds

Transportation Research Part B: Methodological

Volumn 41, Issue 3, 2007, Pages 320-341

  Zhou, Xuesong ^a   Zhong, Ming ^b  

^a North Carolina State University   (United States)

^b UNIVERSITY OF MARYLAND   (United States)

Author keywords

Branch and bound; Heuristics; Lagrangian relaxation; Railway; Train timetabling

Indexed keywords

CONSTRAINT THEORY; CRITICAL PATH ANALYSIS; HEURISTIC METHODS; OPTIMIZATION; RAILROAD STATIONS; SAFETY FACTOR; SCHEDULING;

BRANCH AND BOUND; LAGRANGIAN RELAXATION; STATION HEADWAY CAPACITIES; TRAIN TIMETABLING;

RAILROAD TRACKS;

RAILWAY TRANSPORT; TRAIN; TRANSPORTATION PLANNING; TRANSPORTATION SAFETY; TRAVEL TIME;

EID: 33845274298     PISSN: 01912615     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.trb.2006.05.003     Document Type: Article

References (30)

1. Adenso-Diaz B., Gonzalez M.O., and Gonzalez-Torre P. On-line timetable re-scheduling in regional train services. Transportation Research Part B 33 6 (1999) 387-398
2. Ahuja R.K., Magnanti T.L., and Orlin J.B. Network Flows: Theory, Algorithms, and Applications (1993), Prentice Hall, NJ
3. Assad A. Models for rail transportation. Transportation Research Part A 14 3 (1980) 205-220
4. Bartusch M., Mohring R.H., and Radermacher F.J. Scheduling project networks with resource constraints and time windows. Annals of Operations Research 16 1 (1988) 201-240
5. Brannlund U., Lindberg P.O., Nou A., and Nilsson J.E. Railway timetabling using Lagrangian relaxation. Transportation Science 32 4 (1998) 358-369
6. Cai X., Goh C.J., and Mees A.I. Greedy heuristics for rapid scheduling of trains on a single track. IIE Transactions 30 5 (1998) 481-493
7. Caprara A., Fischetti M., and Toth P. Modeling and solving the train timetabling problem. Operations Research 50 5 (2002) 851-861
8. Carey M. A model and strategy for train pathing with choice of lines, platforms and routes. Transportation Research Part B 28 5 (1994) 333-353
9. Carey M. Extending a train pathing model from one-way to two-way track. Transportation Research Part B 28 5 (1994) 395-400
10. Carey M., and Lockwood D. A model, algorithms and strategy for train pathing. Journal of the Operational Research Society 46 8 (1995) 988-1005
11. Chen B., and Harker P.T. Two moments estimation of the delay on single-track rail lines with scheduled traffic. Transportation Science 24 4 (1990) 261-275
12. Cordeau J.-F., Toth P., and Vigo D. A survey of optimization models for train routing and scheduling. Transportation Science 32 4 (1998) 380-404
13. De Reyck B., and Herroelen W. Branch-and-bound algorithm for the resource-constrained project scheduling problem with generalized precedence relations. European Journal of Operational Research 111 1 (1998) 152-174
14. 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 1 (2004) 81-98
15. Greenberg H.H. A branch-and-bound solution to the general scheduling problem. Operations Research 16 2 (1968) 352-361
16. Higgins A., and Kozan E. Modeling train delays in urban networks. Transportation Science 32 4 (1998) 346-357
17. Higgins A., Kozan E., and Ferreira L. Optimal scheduling of trains on a single line track. Transportation Research Part B 30 2 (1996) 147-161
18. Jovanovic D., and Harker P.T. Tactical scheduling of rail operations: the SCAN I system. Transportation Science 25 1 (1991) 46-64
19. Kraay D.R., and Harker P.T. Real-time scheduling of freight railroads. Transportation Research Part B 29 3 (1995) 213-229
20. Kroon L.G., and Peeters L.W. A variable trip time model for cyclic railway timetabling. Transportation Science 37 2 (2003) 198-212
21. Lawler E.L., and Wood D.E. Branch and bound methods: A survey. Operations Research 14 4 (1966) 699-719
22. Luh P.B., Chen D., and Thakur L.S. An effective approach for job-shop scheduling with uncertain processing requirements. IEEE Transactions on Robotics and Automation 15 2 (1999) 328-339
23. Newman A.M., Nozick L., and Yano C.A. Optimization in the rail industry. Handbook of Applied Optimization (2002) 704-718
24. Petersen E.R., and Taylor A.J. A structured model for rail line simulation and optimization. Transportation Science 16 2 (1982) 192-206
25. Petersen E.R., Taylor A.J., and Martland C.D. An introduction to computer aided train dispatching. Journal of Advanced Transportation 20 (1986) 63-72
26. Sabuncuoglu I., and Bayiz M. Job shop scheduling with beam search. European Journal of Operational Research 118 2 (1999) 390-412
27. Sahin I. Railway traffic control and train scheduling based on inter-train conflict management. Transportation Research Part B 33 7 (1999) 511-534
28. Szpigel B. Optimal train scheduling on a single track railway. Operations Research'72 (1973), North-Holland, Amsterdam, Netherlands pp. 343-352
29. Zhou X., and Zhong M. Bi-criteria train scheduling for high-speed passenger railroad planning applications. European Journal of Operational Research 167 3 (2005) 752-771
30. Zhou, L., Hu, S., Ma, J., Yue, Y., 1998. Network hierarchy parallel algorithm of automatic train scheduling. In: Proceedings of the Conference on Traffic and Transportation Studies, ICTTS, pp. 358-368.