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Discrete Dynamics in Nature and Society
Volume 2015, Article ID 638104, 10 pages
http://dx.doi.org/10.1155/2015/638104
Research Article

A Column Generation Based Hyper-Heuristic to the Bus Driver Scheduling Problem

1School of Mechanical Engineering, University of Science and Technology, Beijing 100083, China
2State Key Laboratory of Rail Traffic Control and Safety, Beijing Jiaotong University, Beijing 100044, China
3School of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044, China
4Laboratoire Systémes et Transports, Université de Technologie de Belfort-Montbéliard, 90000 Belfort, France

Received 2 January 2015; Accepted 9 February 2015

Academic Editor: Chin-Chia Wu

Copyright © 2015 Hong Li et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. H. R. Lourenço, J. P. Paixão, and R. Portugal, “Multiobjective metaheuristics for the bus-driver scheduling problem,” Transportation Science, vol. 35, no. 3, pp. 331–343, 2001. View at Publisher · View at Google Scholar · View at Scopus
  2. A. Wren, Computer Scheduling of Public Transport, North-Holland Publishing, Amsterdam, The Netherlands, 1981.
  3. M. Desrochers and J. M. E. Rousseau, Computer Scheduling of Public Transport, Elsevier, Berlin, Germany, 2009.
  4. J. R. Daduna, I. Branco, and J. M. P. Paixão, Computer-Aided Transit Scheduling: Proceedings of the Sixth International Workshop on Computer-Aided Scheduling of Public Transport, vol. 430, Lecture Notes in Economics and Mathematical Systems, 1995. View at Publisher · View at Google Scholar
  5. M. D. Hickman, P. B. Mirchandani, and S. Voss, Computer-Aided Systems in Public Transport, Springer, Berlin, Germany, 2008.
  6. S. Voss and J. R. Daduna, Computer-Aided Scheduling of Public Transport, Springer, 2001.
  7. A. Wren and J. Rousseau, Bus Driver Scheduling—An Overview, Springer, Berlin, Germany, 1995.
  8. L. Zhao, “A heuristic method for analyzing driver scheduling problem,” IEEE Transactions on Systems, Man, and Cybernetics Part A: Systems and Humans, vol. 36, no. 3, pp. 521–531, 2006. View at Publisher · View at Google Scholar · View at Scopus
  9. M. Desrochers and F. Soumis, “A column generation approach to the urban transit crew scheduling problem,” Transportation Science, vol. 23, pp. 1–13, 1989. View at Publisher · View at Google Scholar
  10. S. Lavoie, M. Minoux, and E. Odier, A New Approach of Crew Pairing Problems by Column Generation and Application to Air Transports, Université de Montréal, Centre de Recherche sur les Transports, 1985.
  11. T. Nishi, Y. Muroi, and M. Inuiguchi, “Column generation with dual inequalities for railway crew scheduling problems,” Public Transport, vol. 3, no. 1, pp. 25–42, 2011. View at Publisher · View at Google Scholar · View at Scopus
  12. S. Fores, L. Proll, and A. Wren, A Column Generation Approach to Bus Driver Scheduling, Elsevier, 1996.
  13. N. Touati Moungla, L. Létocart, and A. Nagih, “Solutions diversification in a column generation algorithm,” Algorithmic Operations Research, vol. 5, no. 2, pp. 86–95, 2010. View at Google Scholar
  14. E. Burke, G. Kendall, J. Newall, E. Hart, P. Ross, and S. Schulenburg, “Hyper-heuristics: an emerging direction in modern search technology,” in Handbook of Metaheuristics, vol. 57 of International Series in Operations Research & Management Science, pp. 457–474, Springer, Berlin, Germany, 2003. View at Publisher · View at Google Scholar
  15. G. R. Mauri and L. A. N. Lorena, “A new hybrid heuristic for driver scheduling,” International Journal of Hybrid Intelligent Systems, vol. 4, pp. 39–47, 2007. View at Google Scholar
  16. R. S. K. Kwan and A. Kwan, “Effective search space control for large and/or complex driver scheduling problems,” Annals of Operations Research, vol. 155, no. 1, pp. 417–435, 2007. View at Publisher · View at Google Scholar · View at Scopus
  17. S. Fores, L. Proll, and A. Wren, “Experiences with a flexible driver scheduler,” in Computer-Aided Scheduling of Public Transport, S. Vo and J. R. Daduna, Eds., vol. 505 of Lecture Notes in Economics and Mathematical Systems, pp. 137–152, Springer, Berlin, Germany, 2001. View at Publisher · View at Google Scholar
  18. A. Wren, S. Fores, A. Kwan, R. Kwan, M. Parker, and L. Proll, “A flexible system for scheduling drivers,” Journal of Scheduling, vol. 6, no. 5, pp. 437–455, 2003. View at Publisher · View at Google Scholar · View at Scopus
  19. D. Huisman, R. Freling, and A. P. M. Wagelmans, “Multiple-depot integrated vehicle and crew scheduling,” Transportation Science, vol. 39, no. 4, pp. 491–502, 2005. View at Publisher · View at Google Scholar · View at Scopus
  20. İ. Mutera, Ş. İ. Birbila, K. Bülbüla et al., “Solving a robust airline crew pairing problem with column generation,” Computers & Operations Research, vol. 40, no. 3, pp. 815–830, 2013. View at Publisher · View at Google Scholar
  21. F. Liberatore, G. Righini, and M. Salani, “A column generation algorithm for the vehicle routing problem with soft time windows,” 4OR, vol. 9, no. 1, pp. 49–82, 2011. View at Publisher · View at Google Scholar · View at Scopus
  22. E. K. Burker, M. Hyde, G. Kendall, G. Ochoa, E. Özcan, and J. R. Woodward, “A classification of hyper-heuristic approaches,” in Handbook of Metaheuristics, M. Gendreau and J. Potvin, Eds., vol. 146, pp. 449–468, Springer, Boston, MA, USA, 2010. View at Publisher · View at Google Scholar
  23. E. Burke, T. Curtois, M. Hyde et al., “Iterated local search vs. hyper-heuristics: towards general-purpose search algorithms,” in Proceedings of the IEEE Congress on Evolutionary Computation (CEC '10), pp. 1–8, Barcelona, Spain, July 2010. View at Publisher · View at Google Scholar · View at Scopus
  24. Z.-L. Chen and H. Xu, “Dynamic column generation for dynamic vehicle routing with time windows,” Transportation Science, vol. 40, no. 1, pp. 74–88, 2006. View at Publisher · View at Google Scholar · View at Scopus
  25. M. Mesquita and A. Paias, “Set partitioning/covering-based approaches for the integrated vehicle and crew scheduling problem,” Computers and Operations Research, vol. 35, no. 5, pp. 1562–1575, 2008. View at Publisher · View at Google Scholar · View at Scopus
  26. D. M. Ryan and B. A. Foster, “An integer programming approach to scheduling,” Computer Scheduling of Public Transport, vol. 1, pp. 269–280, 1981. View at Google Scholar
  27. C. Barnhart, N. L. Boland, L. W. Clarke, E. L. Johnson, G. L. Nemhauser, and R. G. Shenoi, “Flight string models for aircraft fleeting and routing,” Transportation Science, vol. 32, no. 3, pp. 208–220, 1998. View at Publisher · View at Google Scholar · View at Scopus