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The school bus routing problem: a case study

Author

Listed:
  • L Y O Li

    (The Hong Kong Polytechnic University)

  • Z Fu

    (Central South University, Changsha, People's Republic of China)

Abstract

This paper describes a case study of the school bus routing problem. It is formulated as a multi-objective combinatorial optimisation problem. The objectives considered include minimising the total number of buses required, the total travel time spent by pupils at all pick-up points, which is what the school and parents are concerned with most, and the total bus travel time. It also aims at balancing the loads and travel times between buses. A heuristic algorithm for its solution is proposed. The algorithm has been programmed and run efficiently on a PC. Numerical results are reported using test data from a kindergarten in Hong Kong. It has shown to be effective with a saving of 29% in total travelling times when comparing to current practice.

Suggested Citation

  • L Y O Li & Z Fu, 2002. "The school bus routing problem: a case study," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 53(5), pages 552-558, May.
    • Handle: RePEc:pal:jorsoc:v:53:y:2002:i:5:d:10.1057_palgrave.jors.2601341
    DOI: 10.1057/palgrave.jors.2601341
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    Citations

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    Cited by:

    1. Tanaka, Shunji & Uraguchi, Yukihiro & Araki, Mituhiko, 2005. "Dynamic optimization of the operation of single-car elevator systems with destination hall call registration: Part II. The solution algorithm," European Journal of Operational Research, Elsevier, vol. 167(2), pages 574-587, December.
    2. Shafahi, Ali & Wang, Zhongxiang & Haghani, Ali, 2018. "SpeedRoute: Fast, efficient solutions for school bus routing problems," Transportation Research Part B: Methodological, Elsevier, vol. 117(PA), pages 473-493.
    3. Dukkanci, Okan & Karsu, Özlem & Kara, Bahar Y., 2022. "Planning sustainable routes: Economic, environmental and welfare concerns," European Journal of Operational Research, Elsevier, vol. 301(1), pages 110-123.
    4. Banerjee, Dipayan & Smilowitz, Karen, 2019. "Incorporating equity into the school bus scheduling problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 131(C), pages 228-246.
    5. P P Repoussis & C D Tarantilis & G Ioannou, 2007. "The open vehicle routing problem with time windows," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(3), pages 355-367, March.
    6. C Alabas-Uslu, 2008. "A self-tuning heuristic for a multi-objective vehicle routing problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(7), pages 988-996, July.
    7. Juan Rivera & H. Afsar & Christian Prins, 2015. "A multistart iterated local search for the multitrip cumulative capacitated vehicle routing problem," Computational Optimization and Applications, Springer, vol. 61(1), pages 159-187, May.
    8. T Bektaş & Seda Elmastaş, 2007. "Solving school bus routing problems through integer programming," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(12), pages 1599-1604, December.
    9. Prah Klemen & Kramberger Tomaž & Jereb Borut & Dragan Dejan & Keshavarzsaleh Abolfazl, 2018. "Optimal Bus Stops’ Allocation: A School Bus Routing Problem with Respect to Terrain Elevation," Logistics, Supply Chain, Sustainability and Global Challenges, Sciendo, vol. 9(2), pages 1-15, October.
    10. Ezquerro Eguizábal, Sara & Moura Berodia, José Luis & Ibeas Portilla, Ángel & Benavente Ponce, Juan, 2018. "Optimization model for school transportation design based on economic and social efficiency," Transport Policy, Elsevier, vol. 67(C), pages 93-101.
    11. Z Fu & R Eglese & L Y O Li, 2005. "A new tabu search heuristic for the open vehicle routing problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(3), pages 267-274, March.
    12. Fátima M. Souza Lima & Davi S. D. Pereira & Samuel V. Conceição & Ricardo S. Camargo, 2017. "A multi-objective capacitated rural school bus routing problem with heterogeneous fleet and mixed loads," 4OR, Springer, vol. 15(4), pages 359-386, December.
    13. Johnes, Jill, 2015. "Operational Research in education," European Journal of Operational Research, Elsevier, vol. 243(3), pages 683-696.
    14. Chen, Xinwei & Wang, Tong & Thomas, Barrett W. & Ulmer, Marlin W., 2023. "Same-day delivery with fair customer service," European Journal of Operational Research, Elsevier, vol. 308(2), pages 738-751.
    15. Luo, Zhixing & Qin, Hu & Lim, Andrew, 2014. "Branch-and-price-and-cut for the multiple traveling repairman problem with distance constraints," European Journal of Operational Research, Elsevier, vol. 234(1), pages 49-60.
    16. Schittekat, Patrick & Kinable, Joris & Sörensen, Kenneth & Sevaux, Marc & Spieksma, Frits & Springael, Johan, 2013. "A metaheuristic for the school bus routing problem with bus stop selection," European Journal of Operational Research, Elsevier, vol. 229(2), pages 518-528.
    17. Ellegood, William A. & Solomon, Stanislaus & North, Jeremy & Campbell, James F., 2020. "School bus routing problem: Contemporary trends and research directions," Omega, Elsevier, vol. 95(C).
    18. Park, Junhyuk & Kim, Byung-In, 2010. "The school bus routing problem: A review," European Journal of Operational Research, Elsevier, vol. 202(2), pages 311-319, April.
    19. P. Matl & R. F. Hartl & T. Vidal, 2018. "Workload Equity in Vehicle Routing Problems: A Survey and Analysis," Transportation Science, INFORMS, vol. 52(2), pages 239-260, March.
    20. Ellegood, William A. & Campbell, James F. & North, Jeremy, 2015. "Continuous approximation models for mixed load school bus routing," Transportation Research Part B: Methodological, Elsevier, vol. 77(C), pages 182-198.
    21. Brandão, José, 2020. "A memory-based iterated local search algorithm for the multi-depot open vehicle routing problem," European Journal of Operational Research, Elsevier, vol. 284(2), pages 559-571.
    22. Ansari, Azadeh & Farrokhvar, Leily & Kamali, Behrooz, 2021. "Integrated student to school assignment and school bus routing problem for special needs students," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 152(C).
    23. D Aksen & Z Özyurt & N Aras, 2007. "Open vehicle routing problem with driver nodes and time deadlines," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(9), pages 1223-1234, September.
    24. Perugia, Alessandro & Moccia, Luigi & Cordeau, Jean-François & Laporte, Gilbert, 2011. "Designing a home-to-work bus service in a metropolitan area," Transportation Research Part B: Methodological, Elsevier, vol. 45(10), pages 1710-1726.
    25. Monnerat, Filipe & Dias, Joana & Alves, Maria João, 2019. "Fleet management: A vehicle and driver assignment model," European Journal of Operational Research, Elsevier, vol. 278(1), pages 64-75.

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