TRACS II: A hybrid IP/heuristic driver scheduling system for public transport

Journal of the Operational Research Society

Volumn 53, Issue 10 SPEC., 2002, Pages 1093-1100

  Fores, S ^a   Proll, L ^a   Wren, A ^a  

^a UNIVERSITY OF LEEDS   (United Kingdom)

Author keywords

Column generation; Heuristics; Integer programming; Scheduling; Transport

Indexed keywords

ALGORITHMS; AUTOMOBILE DRIVERS; BUS TRANSPORTATION; EXTRAPOLATION; HEURISTIC METHODS; INTEGER PROGRAMMING; LINEAR PROGRAMMING; PROBLEM SOLVING; RAILROAD TRANSPORTATION; TRANSPORTATION ROUTES;

DRIVER SCHEDULING PROBLEMS;

SCHEDULING;

EID: 0036790074     PISSN: 01605682     EISSN: None     Source Type: Journal    
DOI: 10.1057/palgrave.jors.2601271     Document Type: Article

References (33)

1. Odoni A. and Wilson N.H.M. (1994). Transportation. In: Pollock S.M., Rothkopf M.H. and Barnett A. (eds). Handbook of Operations Research and Management Science 6: Operations Research and the Public Sector. Elsevier: Amsterdam, ch 7.
2. Wolfenden K. and Wren A. (1966). Locomotive scheduling by computer. British Joint Computer Conference, IEE Conference Publication 19. IEE: London, pp 31-37.
3. Lampkin W. and Saalmans P.D. (1967). The design of routes, service frequencies and schedules for a municipal bus under-taking: a case study. Opl Res Q 18: 375-397.
4. Wren A. (1972). Bus scheduling: an interactive computer method. Transport Plan Technol 1: 115-122.
5. Percival A.J.P. (1973). The Coventry bus routing project. In: Marsh L. (ed). Proceedings of the Fifth Annual Seminar on Bus Operations Research. University of Leeds, Leeds, pp 13.1-13.4.
6. Smith B.M. and Wren A. (1988). A bus crew scheduling system using a set covering formulation. Transport Res 22A: 97-108.
7. Kwan R.S.K. (1988). Co-ordination of joint headways. In: Daduna J.R. and Wren A. (eds). Computer-aided Transit Scheduling. Springer-Verlag: Berlin, pp 304-314.
8. Wren A. and Smith B.M. (1988). Experiences with a crew scheduling system based on set covering. In: Daduna J.R. and Wren A. (eds). Computer-aided Transit Scheduling. Springer-Verlag: Berlin, pp 104-118.
9. Fores S., Proll L.G. and Wren A. (1999). An improved ILP system for driver scheduling. In: Wilson N.H.M. (ed). Computer-aided Transit Scheduling. Springer-Verlag: Berlin, pp 43-62.
10. Freling R., Wagelmans A.P.M. and Paixáo J.M.P. (1999). An overview of models and techniques for integrating vehicle and crew scheduling. In: Wilson N.H.M. (ed). Computeraided Transit Scheduling. Springer-Verlag: Berlin, pp 441-460.
11. Smith B.M. and Wren A. (1981). VAMPIRES and TASC: two successfully applied bus scheduling programs. In: Wren A. (ed). Computer Scheduling of Public Transport. North-Holland: Amsterdam, pp 97-124.
12. Williamson R.H. (1985). BUSMAN: the United Kingdom's integrated approach to transit scheduling. In: Rousseau J.-M. (ed). Computer Scheduling of Public Transport 2. North-Holland: Amsterdam, pp 19-44.
13. Bennett B.T. and Potts R.B. (1968). Rotating roster for a transit system. Transport Sci 2: 14-34.
14. Daduna J.R. and Mojsilovic M. (1988). Computer-aided vehicle and duty scheduling system using the HOT programme system. In: Daduna J.R. and Wren A. (ed). Computer-aided Transit Scheduling. Springer-Verlag: Berlin, pp 133-146.
15. Vance P.H., Barnhart C., Johnson E.L. and Nemhauser G.L. (1997). Airline crew scheduling: a new formulation and decomposition algorithm. Opns Res 45: 188-200.
16. Kroon L. and Fischetti M. (2001). Crew scheduling for Netherlands Railways "Destination Customer". In: Voss S. and Daduna J.R. (eds). Computer-aided Scheduling of Public Transport. Springer-Verlag: Berlin, pp 181-202.
17. Desrosiers J., Dumas Y., Solomon M.M. and Soumis F. (1995). Time constrained routing and scheduling. In: Ball M.E., Magnanti T.L., Monma C. and Nemhauser G.L. (eds). Handbook in Operations Research/Management Science, vol. 8, Network Routing. Elsevier: Amsterdam, pp 35-139.
18. Desrochers M. and Soumis F. (1989). A column generation approach to the urban transit crew scheduling problem. Transport Sci 23: 1-13.
19. Falkner J.C. and Ryan D.M. (1992). EXPRESS: set partitioning for bus crew scheduling in Christchurch. In: Desrochers M. and Rousseau J.M. (eds). Computer-aided Transit Scheduling. Springer-Verlag: Berlin, pp 359-378.
20. Wolsey L.A. (1998). Integer Programming. John Wiley & Sons: New York.
21. Yunes T.H., Moura A.V. and de Souza C.C. (2000). Hybrid column generation approaches for solving real world crew management problems. Relatório Técnico IC-00-18.
22. Caprara A., Fischetti M., Guida P.L., Toth P. and Vigo D. (1999). Solution of large-scale railway crew planning problems: the Italian experience. In: Wilson N.H.M. (ed). Computer-aided Transit Scheduling. Springer-Verlag: Berlin, pp 1-18.
23. Barnhart C., Johnson E.L., Nemhauser G.L., Savelsbergh M.W.P. and Vance P. (1998). Branch-and-price: column generation for solving huge integer programs. Opns Res 46: 316-329.
24. Wren A. and Kwan R.S.K. (1999). Installing an urban transport scheduling system. J Sched 2: 3-17.
25. Meilton M. (2001). Selecting and implementing a computer aided scheduling system for a large bus company. In: Voss S. and Daduna J.R. (eds). Computer-aided Scheduling of Public Transport. Springer-Verlag: Berlin, pp 203-214.
26. Willers W.P., Proll L.G. and Wren A. (1995). A dual strategy for solving the linear programming relaxation of a driver scheduling system. Ann Oper Res 58: 519-531.
27. Forrest J.J. and Goldfarb D. (1992). Steepest-edge simplex algorithms for linear programming. Math Prog 57: 341-374.
28. Willers W.P. (1995). Improved algorithms for bus crew scheduling. PhD thesis, School of Computer Studies, University of Leeds.
29. Silver E., Vidal R.V. and de Werra D. (1980). A tutorial on heuristic methods. Eur J Opl Res 5: 153-162.
30. Balas E. and Carrera M.C. (1996). A dynamic subgradient-based branch and bound procedure for set covering. Opns Res 44: 875-890.
31. Beale E.M.L. and Tomlin J.A. (1970). Special facilities in a general mathematical programming system for non-convex problems using ordered sets of variables. In: Lawrence J. (ed). Proceedings of the Fifth International Conference of OR. Tavistock Publications: London, pp 447-454.
32. Fores S., Proll L.G. and Wren A. (2001). Experiences with a flexible driver scheduler. In: Voss S. and Daduna J.R. (eds). Computer-aided Scheduling of Public Transport. Springer-Verlag: Berlin, pp 137-152.
33. Kwan A.S.K., Kwan R.S.K., Parker M.E. and Wren A. (2000). Proving the versatility of automatic driver scheduling on difficult train & bus problems. Presented at CASPT2000-the 8th International Conference on Computer-aided Scheduling of Public Transport, Berlin, 2000 (unpublished).