Abstract
This paper presents a new approach for solving the crew scheduling problem in public transit. The approach is based on interaction with the corresponding vehicle scheduling problem. We use a model of the vehicle scheduling problem which is based on a time-space network formulation. An advantage of this procedure is that it produces a bundle of optimal vehicle schedules, implicitly given by the solution flow. In our approach, we give this degree of freedom to the crew scheduling phase, where a vehicle schedule is selected that is most consistent with the objectives of crew scheduling.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Ball, M. O., Bodin, L., and Dial, R. (1983). A matching based heuristic for scheduling mass transit crews and vehicles. Transportation Science, 17, 4–31.
Barahona, F. and Anbil, R. (2000). The volume algorithm: Producing primal solutions with a subgradient method. Mathematical Programming, 87(3), 385–399.
Bertossi, A. A., Carraresi, P., and Gallo, G. (1987). On some matching problems arising in vehicle scheduling models. Networks, 17, 271–281.
Carraresi, P., Girardi, L., and Nonato, M. (1995). Network models, lagrangean relaxation and subgradient bundle approach in crew scheduling problems. In J. Daduna, I. Branco, and J.M.P. Paixão, editors, Computer-Aided Transit Scheduling, pages 188–212. Springer, Berlin.
Darby-Dowman, K., Jachnik, J. K., Lewis, R. L., and Mitra, G. (1988). Integrated decision support systems for urban transport scheduling: Discussion of implementation and experience. In J. Daduna and A. Wren, editors, Computer-Aided Transit Scheduling, pages 226–239. Springer, Berlin.
Desaulniers, G., Cordeau, J.-F., Desrosiers, J., and Villeneuve, D. (2001). Simultaneous multi-depot bus and driver scheduling. Technical report, TRISTAN IV preprints.
Desrochers, M. and Soumis, F. (1989). A column generation approach to the urban transit crew scheduling problem. Transportation Science, 23, 1–13.
Falkner, J. C. and Ryan, D. M. (1992). Express: Set partitioning for bus crew scheduling in Christchurch. In M. Desrochers and D. Rousseau, editors, Computer-Aided Transit Scheduling, pages 359–378. Springer, Berlin.
Fischetti, M., Martello, S., and Toth, P. (1987). The fixed job schedule problem with spread-time constraints. Operations Research, 35, 849–858.
Fischetti, M., Martello, S., and Toth, P. (1989). The fixed job schedule problem with working-time constraints. Operations Research, 37, 395–403.
Forbes, M. A., Hotts, J. N., and Watts, A. M. (1994). An exact algorithm for multiple depot vehicle scheduling. European Journal of Operations Research, 72, 115–124.
Freling, R. (1997). Models and Techniques for Integrating Vehicle and Crew Scheduling. Ph.D. thesis, Tinbergen Institute, Erasmus University Rotterdam.
Freling, R., Boender, C. G. E., and ao, Paixão, J. M. P. (1995). An integrated approach to vehicle and crew scheduling. Technical report 9503/a, Econometric Institute, Erasmus University Rotterdam.
Friberg, C. and Haase, K. (1999). An exact branch and cut algorithm for the vehicle and crew scheduling problem. In N. Wilson, editor, Computer-Aided Transit Scheduling, pages 63–80. Springer, Berlin.
Gintner, V., Kliewer, N., and Suhl, L. (2005). Solving large multiple-depot multiple-vehicle-type bus scheduling problems in practice. OR Spectrum, 27(4), 507–523.
Haase, K., Desaulniers, G., and Desrosiers, J. (2001). Simultaneous vehicle and crew scheduling in urban mass transit systems. Transportation Science, 35, 286–303.
Hane, C., Barnhart, C., Johnson, E. L., Marsten, R. E., Nemhauser, G. L., and Sigismondi, G. (1995). The fleet assignment problem: Solving a large integer program. Mathematical Programming, 70(2), 211–232.
Huisman, D. (2004). Integrated and Dynamic Vehicle and Crew Scheduling. Ph.D. thesis, Tinbergen Institute, Erasmus University Rotterdam.
Huisman, D., Freling, R., and Wagelmans, A. P.M. (2005). Multiple-depot integrated vehicle and crew scheduling. Transportation Science, 39, 491–502.
Kliewer, N., Mellouli, T., and Suhl, L. (2002). A new solution model for multi-depot multi-vehicle-type vehicle scheduling in (sub)urban public transport. In Proceedings of the 13th Mini-EURO Conference and the 9th meeting of the EURO working group on transportation, Politechnic of Bari.
Kliewer, N., Mellouli, T., and Suhl, L. (2005). A time-space network based exact optimization model for multi-depot bus scheduling. European Journal of Operations Research, in press (online available).
Löbel, A. (1997). Optimal Vehicle Scheduling in Public Transit. Ph.D. thesis, Technische Universität Berlin.
Löbel, A. (1999). Solving large-scale multiple-depot vehicle scheduling problems. In N. Wilson, editor, Computer-Aided Transit Scheduling, pages 193–220. Springer, Berlin.
Mesquita, M. and Paixão, J. (1999). Exact algorithms for the multiple-depot vehicle scheduling problem based on multicommodity network flow type formulations. In N. Wilson, editor, Computer-Aided Transit Scheduling, pages 223–246. Springer, Berlin.
Patrikalakis, I. and Xerocostas, D. (1992). A new decomposition scheme of the urban public transport scheduling problem. In M. Desrochers and J. Rousseau, editors, Computer-Aided Transit Scheduling, pages 407–425. Springer, Berlin.
Scott, D. (1985). A large linear programming approach to the public transport scheduling and cost model. In J. Rousseau, editor, Computer Scheduling of Public Transport 2, pages 473–491. North Holland, Amsterdam.
Tosini, E. and Vercellis, C. (1988). An interactive system for the extra-urban vehicle and crew scheduling problems. In J. Daduna and A. Wren, editors, Computer-Aided Transit Scheduling, pages 41–53. Springer, Berlin.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2008 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Gintner, V., Kliewer, N., Suhl, L. (2008). A Crew Scheduling Approach for Public Transit Enhanced with Aspects from Vehicle Scheduling. In: Hickman, M., Mirchandani, P., Voß, S. (eds) Computer-aided Systems in Public Transport. Lecture Notes in Economics and Mathematical Systems, vol 600. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73312-6_2
Download citation
DOI: https://doi.org/10.1007/978-3-540-73312-6_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-73311-9
Online ISBN: 978-3-540-73312-6
eBook Packages: EngineeringEngineering (R0)