Skip to main content

Application of Scheduling Theory to the Bus Evacuation Problem

  • Conference paper
  • First Online:
Operations Research Proceedings 2013

Part of the book series: Operations Research Proceedings ((ORP))

Abstract

We consider the problem of scheduling a fleet of buses to evacuate people from a fixed set of gathering points to a fixed set of shelters. In case of uncapacitated shelters this can be modeled as a well-known scheduling problem. Since there are no efficient exact solution methods for this problem, we propose a customized branch-and-bound procedure and compare the performance to a commercial IP solver.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Allahverdi, A., Gupta, J. N. D., & Aldowaisan, T. (1999). A review of scheduling research involving setup considerations. Journal of Management Science, 27, 219–239.

    Google Scholar 

  2. Allahverdi, A., Ng, C. T., Cheng, T. C. E., & Kovalyov, M. Y. (2008). A survey of scheduling problems with setup times or costs. European Journal of Operational Research, 187, 985–1032.

    Article  Google Scholar 

  3. Bish, D. (2011). Planning for a bus-based evacuation. OR Spectrum, 33, 629–654.

    Google Scholar 

  4. Dunstall, S., & Wirth, A. (2005). A comparison of branch-and-bound algorithms for a family scheduling problem with identical parallel machines. European Journal of Operational Research, 167, 283–296.

    Google Scholar 

  5. Elmaghraby, S. E., & Park, S. H. (1974). Scheduling jobs on a number of identical machines. AIIE Transactions, 6, 1–13.

    Google Scholar 

  6. França, P. M., Gendreau, M., Laporte, G., & Mller, F. M. (1996). A tabu search heuristic for the multiprocessor scehduling problem with sequence dependent setup times. International Journal of Production Economics, 43, 79–89.

    Google Scholar 

  7. Gendreau, M., Laporte, G., & Guimarães, E. M. (2001). A divide and merge heuristic for the multiprocessor scheduling problem with sequence dependent setup times. European Journal of Operational Research, 133, 183–189.

    Google Scholar 

  8. Goerigk, M., & Grün, B. (2013). The robust bus evacuation problem. Technical Report, University of Kaiserslautern, Germany.

    Google Scholar 

  9. Goerigk, M., Grün, B., & Heßler, P. (2013). Branch and bound algorithms for the bus evacuation problem. doi:10.1016/j.cor.2013.07.006.

  10. Guinet, A. (1993). Scheduling sequence-dependent jobs on identical parallel machines to minimize completion time criteria. International Journal of Production Research, 31, 1579–1594.

    Google Scholar 

  11. Kurz, M. E., & Askin, R. G. (2001). Heuristic scheduling of parallel machines with sequence-dependent set-up times. International Journal of Production Research, 39, 3747–3769.

    Google Scholar 

  12. Sarin, S. C., Ahn, S., & Bishop, A. B. (1988). An improved branching scheme for the branch and bound procedure of scheduling n jobs on m parallel machines to minimize total weighte flowtime. International Journal of Production Research, 26, 1183–1191.

    Google Scholar 

  13. Schutten, J. M. J. (1996). List scheduling revisited. Operations Research Letters, 18, 167–170.

    Google Scholar 

  14. Wesley Barnes, J., & Brennan, J. J. (1977). An improved algorithm for scheduling jobs on identical machines. AIIE Transactions, 9, 25–31.

    Google Scholar 

  15. Yang, W. H. (1999). Survey of scheduling research involving setup times. International Journal of Systems Science, 30, 143–155.

    Google Scholar 

Download references

Acknowledgments

Partially supported by the Federal Ministry of Education and Research Germany, grant DSS_Evac_Logistic, FKZ 13N12229.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Corinna Kaufmann .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer International Publishing Switzerland

About this paper

Cite this paper

Kaufmann, C. (2014). Application of Scheduling Theory to the Bus Evacuation Problem. In: Huisman, D., Louwerse, I., Wagelmans, A. (eds) Operations Research Proceedings 2013. Operations Research Proceedings. Springer, Cham. https://doi.org/10.1007/978-3-319-07001-8_31

Download citation

Publish with us

Policies and ethics