Skip to main content

A New Integer Programming Model for Solving a School Bus Routing Problem with the Student Assignment

  • Conference paper
  • First Online:
Intelligent Computing and Optimization (ICO 2020)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1324))

Included in the following conference series:

Abstract

The aim of this research is to present an integer linear programming model for solving the school bus routing problem concerning the travel distance of all buses and the student assignment to each bus stop which depends on two views. Students’ satisfaction is more interested than the total travel distance of buses in the first model, and vice versa in the second model.

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 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
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. Mpeta, K.N., Munapo, E., Ngwato, M.: Route optimization for residential solid waste collection: Mmabatho case study. In: Intelligent Computing and Optimization 2019. Advances in Intelligent Systems and Computing, vol. 1072, pp. 506–520 (2020)

    Google Scholar 

  2. Dantzig, G.B., Ramser, J.H.: The Truck dispatching problem. INFORMS. Manage. Sci. 6(1), 80–91 (1959)

    MathSciNet  MATH  Google Scholar 

  3. Tarantilis, C.D., Ioannou, G., Kiranoudis, C.T., Prastacos, G.P.: Solving the open vehicle routing problem via a single parameter metaheuristic algorithm. J. Oper. Res. Soc. 56(5), 588–596 (2005)

    Google Scholar 

  4. Newton, R.M., Thomas, W.H.: Design of school bus routes by computer. Socio-Econ. Plan. Sci. 3(1), 75–85 (1969)

    Article  Google Scholar 

  5. Braca, J., Bramel, J., Posner, B., Simchi-Levi, D.: A computerized approach to the New York City school bus routing problem. IIE Trans. 29, 693–702 (1997)

    Google Scholar 

  6. Jalel, E., Rafaa, M.: The urban bus routing problem in the Tunisian case by the hybrid artificial ant colony algorithm. Swarm Evol. Comput. 2, 15–24 (2012)

    Article  Google Scholar 

  7. Kim, T., Park, B.J.: Model and algorithm for solving school bus problem. J. Emerg. Trends Comput. Inf. Sci. 4(8), 596–600 (2013)

    Google Scholar 

  8. Hashi. E.K., Hasan, M.R., Zaman, M.S.: GIS based heuristic solution of the vehicle routing problem to optimize the school bus routing and scheduling. In: Computer and Information Technology (ICCIT), 2016 19th International Conference, pp. 56–60. IEEE (2016)

    Google Scholar 

  9. Park, J., Kim, B.I.: The school bus routing problem: a review. Eur. J. Oper. Res. 202, 311–319 (2010)

    Article  MathSciNet  Google Scholar 

  10. Ellegood, W.A., Solomon, S., North, J., Campbell, J.F.: School bus routing problem: contemporary trends and research directions. Omega 95, 102056 (2020)

    Article  Google Scholar 

  11. Bodin, L.D., Berman, L.: Routing and scheduling of school buses by computer. Transp. Sci. 13(2), 113–129 (1979)

    Article  Google Scholar 

  12. Schittekat, P., Sevaux, M., Sorensen, K.: A mathematical formulation for a school bus routing problem. In: Proceedings of the IEEE 2006 International Conference on Service Systems and Service Management, Troyes, France (2006)

    Google Scholar 

  13. Eldrandaly, K.A., Abdallah, A.F.: A novel GIS-based decision-making framework for the school bus routing problem. Geo-spat. Inform. Sci. 15(1), 51–59 (2012)

    Google Scholar 

  14. Bektas, T., Elmastas, S.: Solving school bus routing problems through integer programming. J. Oper. Res. Soc. 58(12), 1599–1604 (2007)

    Google Scholar 

Download references

Acknowledgement

This work was supported by Thammasat University Research Unit in Fixed Points and Optimization.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Aua-aree Boonperm .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2021 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Lekburapa, A., Boonperm, Aa., Sintunavarat, W. (2021). A New Integer Programming Model for Solving a School Bus Routing Problem with the Student Assignment. In: Vasant, P., Zelinka, I., Weber, GW. (eds) Intelligent Computing and Optimization. ICO 2020. Advances in Intelligent Systems and Computing, vol 1324. Springer, Cham. https://doi.org/10.1007/978-3-030-68154-8_28

Download citation

Publish with us

Policies and ethics