Multiple depot vehicle and crew scheduling with time windows for scheduled trips
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This paper examines time windows for scheduled trips in multiple depot vehicle and crew scheduling problems that arise in public bus transportation. In practice, the two planning tasks vehicle scheduling and crew scheduling are traditionally solved sequentially with the implicit understanding that the scheduled time for timetabled trips remains fixed. In order to improve cost efficiency two concepts have been developed over the last years: In order to obtain better flexibility when scheduling crews, vehicle and crew scheduling problems are tackled simultaneously. In order to extend flexibility while scheduling vehicles, variable trip departure and arrival times are considered. Obviously the combination of both concepts promises the largest savings, but probably leads to bursting computational times due to growing problem complexity.
In this paper we combine both concepts by extending the integrated vehicle and crew scheduling problem with the possibility to shift scheduled trips within defined time windows. We examine the tradeoffs between solution quality and computational time for different solution approaches.
KeywordsMultiple depot scheduling Integrated vehicle and crew scheduling Time windows Time-space-network Public transportation
- Desrosiers J, Dumas Y, Solomon MM, Soumis F (1995) Time constrained routing and scheduling. Handbooks in operations research and management science, vol 8. Elsevier, Amsterdam, pp 35–139, Chap 2 Google Scholar
- Fischetti M, Lodi A, Toth P (1999) A branch-and-cut algorithm for the multiple depot vehicle scheduling problem. Technical report, DEIS, Universit di Bologna, Italy Google Scholar
- Freling R (1997) Models and techniques for integrating vehicle and crew scheduling. PhD thesis, Erasmus University of Rotterdam, The Netherlands Google Scholar
- Gintner V, Steinzen I, Suhl L (2006) A time-space network based approach for integrated vehicle and crew scheduling in public transport. In: Proceedings of the EURO working group on transportation (EWGT) joint conferences 2006, pp 371–377 Google Scholar
- Huisman D (2004) Integrated and dynamic vehicle and crew scheduling. PhD thesis, Erasmus University of Rotterdam, The Netherlands Google Scholar
- Kliewer N, Mellouli T, 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 (EWGT). Politecnico of Bari, Bari Google Scholar
- Kliewer N, Bunte S, Suhl L (2006b) Time windows for scheduled trips in multiple depot vehicle scheduling. In: Proceedings of the EURO working group on transportation (EWGT) joint conferences 2006, pp 340–346 Google Scholar
- Kliewer N, Gintner V, Suhl L (2008) Line change considerations within a time-space network based multi-depot bus scheduling model. In: Proceedings of 9th international conference on computer-aided scheduling of public transport (CASPT), pp 57–70 Google Scholar
- Loebel A (1999) Solving large-scale multiple-depot vehicle scheduling problems. In: Lecture notes in economics and mathematical systems (LNEMS). Computer-aided transit scheduling, vol 471. Springer, Berlin, pp 193–220 Google Scholar
- Mingozzi A, Bianco L, Ricciardelli S (1995) An exact algorithm for combining vehicle trips. In: Proceedings of the 6th international workshop on computer aided scheduling of public transport (CASPT), pp 145–172 Google Scholar
- Steinzen I (2007) Topics in integrated vehicle and crew scheduling in public transit. PhD thesis, University of Paderborn, Germany Google Scholar