IDEAS home Printed from https://ideas.repec.org/a/eee/transa/v29y1995i2p107-123.html
   My bibliography  Save this article

A multi-objective optimization approach to urban school bus routing: Formulation and solution method

Author

Listed:
  • Bowerman, Robert
  • Hall, Brent
  • Calamai, Paul

Abstract

This article introduces a multi-objective approach to modeling the urban school bus routing problem and describes an algorithm for generating a solution to this problem. Because school bus transportation services are provided through the public sector, the service must be evaluated by both efficiency and equity measures. The proposed technique first groups students into clusters using a multi-objective districting algorithm and then generates a school bus route and the bus stops for each cluster using a combination of a set covering algorithm and a traveling salesman problem algorithm. Numerical results are reported using test data from Wellington County, Ontario.

Suggested Citation

  • Bowerman, Robert & Hall, Brent & Calamai, Paul, 1995. "A multi-objective optimization approach to urban school bus routing: Formulation and solution method," Transportation Research Part A: Policy and Practice, Elsevier, vol. 29(2), pages 107-123, March.
    • Handle: RePEc:eee:transa:v:29:y:1995:i:2:p:107-123
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0965-8564(94)E0006-U
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. G. Clarke & J. W. Wright, 1964. "Scheduling of Vehicles from a Central Depot to a Number of Delivery Points," Operations Research, INFORMS, vol. 12(4), pages 568-581, August.
    2. E. S. Savas, 1978. "On Equity in Providing Public Services," Management Science, INFORMS, vol. 24(8), pages 800-808, April.
    3. Chapleau, Luc & Ferland, Jacques-A. & Rousseau, Jean-Marc, 1985. "Clustering for routing in densely populated areas," European Journal of Operational Research, Elsevier, vol. 20(1), pages 48-57, April.
    4. Lawrence D. Bodin & Lon Berman, 1979. "Routing and Scheduling of School Buses by Computer," Transportation Science, INFORMS, vol. 13(2), pages 113-129, May.
    5. Peter Kolesar & Warren E. Walker, 1974. "An Algorithm for the Dynamic Relocation of Fire Companies," Operations Research, INFORMS, vol. 22(2), pages 249-274, April.
    6. Sang M. Lee & Laurence J. Moore, 1977. "Multi-Criteria School Busing Models," Management Science, INFORMS, vol. 23(7), pages 703-715, March.
    7. John J. Bartholdi, III & Loren K. Platzman, 1988. "Heuristics Based on Spacefilling Curves for Combinatorial Problems in Euclidean Space," Management Science, INFORMS, vol. 34(3), pages 291-305, March.
    8. John R. Current & David A. Schilling, 1989. "The Covering Salesman Problem," Transportation Science, INFORMS, vol. 23(3), pages 208-213, August.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. 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).
    3. 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.
    4. Liwei Zeng & Sunil Chopra & Karen Smilowitz, 2019. "The Covering Path Problem on a Grid," Transportation Science, INFORMS, vol. 53(6), pages 1656-1672, November.
    5. Hernan Caceres & Rajan Batta & Qing He, 2017. "School Bus Routing with Stochastic Demand and Duration Constraints," Transportation Science, INFORMS, vol. 51(4), pages 1349-1364, November.
    6. Glize, Estèle & Roberti, Roberto & Jozefowiez, Nicolas & Ngueveu, Sandra Ulrich, 2020. "Exact methods for mono-objective and Bi-Objective Multi-Vehicle Covering Tour Problems," European Journal of Operational Research, Elsevier, vol. 283(3), pages 812-824.
    7. Fischer, Vera & Pacheco Paneque, Meritxell & Legrain, Antoine & Bürgy, Reinhard, 2024. "A capacitated multi-vehicle covering tour problem on a road network and its application to waste collection," European Journal of Operational Research, Elsevier, vol. 315(1), pages 338-353.
    8. 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.
    9. Christian Burkart & Pamela C. Nolz & Walter J. Gutjahr, 2017. "Modelling beneficiaries’ choice in disaster relief logistics," Annals of Operations Research, Springer, vol. 256(1), pages 41-61, September.
    10. Vidal, Thibaut & Crainic, Teodor Gabriel & Gendreau, Michel & Prins, Christian, 2013. "Heuristics for multi-attribute vehicle routing problems: A survey and synthesis," European Journal of Operational Research, Elsevier, vol. 231(1), pages 1-21.
    11. Linda V. Green & Peter J. Kolesar, 2004. "ANNIVERSARY ARTICLE: Improving Emergency Responsiveness with Management Science," Management Science, INFORMS, vol. 50(8), pages 1001-1014, August.
    12. Johnes, Jill, 2015. "Operational Research in education," European Journal of Operational Research, Elsevier, vol. 243(3), pages 683-696.
    13. 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.
    14. Armin Fügenschuh, 2006. "The vehicle routing problem with coupled time windows," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 14(2), pages 157-176, June.
    15. M. Spada & M. Bierlaire & Th. M. Liebling, 2005. "Decision-Aiding Methodology for the School Bus Routing and Scheduling Problem," Transportation Science, INFORMS, vol. 39(4), pages 477-490, November.
    16. Curtin, Kevin M. & Biba, Steve, 2011. "The Transit Route Arc-Node Service Maximization problem," European Journal of Operational Research, Elsevier, vol. 208(1), pages 46-56, January.
    17. J Faulin & A García del Valle, 2008. "Solving the capacitated vehicle routing problem using the ALGELECT electrostatic algorithm," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(12), pages 1685-1695, December.
    18. Bertsimas, Dimitris & Chervi, Philippe. & Peterson, Michael., 1991. "Computational approaches to stochastic vehicle routing problems," Working papers 3285-91., Massachusetts Institute of Technology (MIT), Sloan School of Management.
    19. Haughton, Michael A., 1998. "The performance of route modification and demand stabilization strategies in stochastic vehicle routing," Transportation Research Part B: Methodological, Elsevier, vol. 32(8), pages 551-566, November.
    20. Gong, Manlin & Hu, Yucong & Chen, Zhiwei & Li, Xiaopeng, 2021. "Transfer-based customized modular bus system design with passenger-route assignment optimization," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 153(C).

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:transa:v:29:y:1995:i:2:p:107-123. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/547/description#description .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.