IDEAS home Printed from https://ideas.repec.org/a/inm/orinte/v43y2013i3p232-239.html
   My bibliography  Save this article

Mathematical Programming Guides Air-Ambulance Routing at Ornge

Author

Listed:
  • Timothy A. Carnes

    (Link Analytics, Atlanta, Georgia 30338)

  • Shane G. Henderson

    (School of Operations Research and Information Engineering, Cornell University, Ithaca, New York 14853)

  • David B. Shmoys

    (School of Operations Research and Information Engineering, Cornell University, Ithaca, New York 14853)

  • Mahvareh Ahghari

    (Ornge, Mississauga, Ontario L4W 5H8, Canada)

  • Russell D. MacDonald

    (Ornge, Mississauga, Ontario L4W 5H8, Canada; and Faculty of Medicine, University of Toronto, Toronto, Ontario, Canada)

Abstract

Ornge provides air-ambulance services to the province of Ontario. A major part of its services involves prescheduled transports between medical facilities. These transports almost exclusively require fixed-wing aircraft because of the distances involved and cost considerations. The requests are received in advance, scheduled overnight, and typically executed the following day. We describe our work in developing a planning tool that determines an assignment of requests to aircraft to minimize cost, subject to a range of complicating constraints. Ornge flight planners use the tool daily, resulting in substantial savings over the manual approach they used previously to develop schedules. We describe the problem, our formulation, its implementation, and the impact on operations at Ornge.

Suggested Citation

  • Timothy A. Carnes & Shane G. Henderson & David B. Shmoys & Mahvareh Ahghari & Russell D. MacDonald, 2013. "Mathematical Programming Guides Air-Ambulance Routing at Ornge," Interfaces, INFORMS, vol. 43(3), pages 232-239, May-June.
  • Handle: RePEc:inm:orinte:v:43:y:2013:i:3:p:232-239
    DOI: 10.1287/inte.2013.0683
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/inte.2013.0683
    Download Restriction: no

    File URL: https://libkey.io/10.1287/inte.2013.0683?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. D. Espinoza & R. Garcia & M. Goycoolea & G. L. Nemhauser & M. W. P. Savelsbergh, 2008. "Per-Seat, On-Demand Air Transportation Part I: Problem Description and an Integer Multicommodity Flow Model," Transportation Science, INFORMS, vol. 42(3), pages 263-278, August.
    2. Brotcorne, Luce & Laporte, Gilbert & Semet, Frederic, 2003. "Ambulance location and relocation models," European Journal of Operational Research, Elsevier, vol. 147(3), pages 451-463, June.
    3. D. Espinoza & R. Garcia & M. Goycoolea & G. L. Nemhauser & M. W. P. Savelsbergh, 2008. "Per-Seat, On-Demand Air Transportation Part II: Parallel Local Search," Transportation Science, INFORMS, vol. 42(3), pages 279-291, August.
    4. Faramroze G. Engineer & George L. Nemhauser & Martin W. P. Savelsbergh, 2011. "Dynamic Programming-Based Column Generation on Time-Expanded Networks: Application to the Dial-a-Flight Problem," INFORMS Journal on Computing, INFORMS, vol. 23(1), pages 105-119, February.
    5. Jean-François Cordeau & Gilbert Laporte, 2007. "The dial-a-ride problem: models and algorithms," Annals of Operations Research, Springer, vol. 153(1), pages 29-46, September.
    6. Martin W. P. Savelsbergh, 1992. "The Vehicle Routing Problem with Time Windows: Minimizing Route Duration," INFORMS Journal on Computing, INFORMS, vol. 4(2), pages 146-154, May.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Detti, Paolo & Papalini, Francesco & Lara, Garazi Zabalo Manrique de, 2017. "A multi-depot dial-a-ride problem with heterogeneous vehicles and compatibility constraints in healthcare," Omega, Elsevier, vol. 70(C), pages 1-14.
    2. Masoud, Neda & Jayakrishnan, R., 2017. "A decomposition algorithm to solve the multi-hop Peer-to-Peer ride-matching problem," Transportation Research Part B: Methodological, Elsevier, vol. 99(C), pages 1-29.
    3. Peter Taylor, 2022. "Spatial queues with a moving server," Queueing Systems: Theory and Applications, Springer, vol. 100(3), pages 261-263, April.
    4. Masoud, Neda & Jayakrishnan, R., 2017. "A real-time algorithm to solve the peer-to-peer ride-matching problem in a flexible ridesharing system," Transportation Research Part B: Methodological, Elsevier, vol. 106(C), pages 218-236.
    5. Johnsen, Lennart C. & Meisel, Frank, 2022. "Interrelated trips in the rural dial-a-ride problem with autonomous vehicles," European Journal of Operational Research, Elsevier, vol. 303(1), pages 201-219.
    6. Andrew S. Manikas & James R. Kroes & Thomas F. Gattiker, 2016. "Metro Meals on Wheels Treasure Valley Employs a Low-Cost Routing Tool to Improve Deliveries," Interfaces, INFORMS, vol. 46(2), pages 154-167, April.
    7. Ho, Sin C. & Szeto, W.Y. & Kuo, Yong-Hong & Leung, Janny M.Y. & Petering, Matthew & Tou, Terence W.H., 2018. "A survey of dial-a-ride problems: Literature review and recent developments," Transportation Research Part B: Methodological, Elsevier, vol. 111(C), pages 395-421.
    8. Masmoudi, Mohamed Amine & Hosny, Manar & Braekers, Kris & Dammak, Abdelaziz, 2016. "Three effective metaheuristics to solve the multi-depot multi-trip heterogeneous dial-a-ride problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 96(C), pages 60-80.
    9. Ehsan Khodabandeh & Lawrence V. Snyder & John Dennis & Joshua Hammond & Cody Wanless, 2022. "C.H. Robinson Uses Heuristics to Solve Rich Vehicle Routing Problems," Interfaces, INFORMS, vol. 52(2), pages 173-188, March.
    10. Dimitris Bertsimas & Allison Chang & Velibor V. Mišić & Nishanth Mundru, 2019. "The Airlift Planning Problem," Transportation Science, INFORMS, vol. 53(3), pages 773-773, May.
    11. Braekers, Kris & Caris, An & Janssens, Gerrit K., 2014. "Exact and meta-heuristic approach for a general heterogeneous dial-a-ride problem with multiple depots," Transportation Research Part B: Methodological, Elsevier, vol. 67(C), pages 166-186.

    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. Yves Molenbruch & Kris Braekers & An Caris, 2017. "Typology and literature review for dial-a-ride problems," Annals of Operations Research, Springer, vol. 259(1), pages 295-325, December.
    2. Rajendran, Suchithra & Srinivas, Sharan, 2020. "Air taxi service for urban mobility: A critical review of recent developments, future challenges, and opportunities," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 143(C).
    3. Pillac, Victor & Gendreau, Michel & Guéret, Christelle & Medaglia, Andrés L., 2013. "A review of dynamic vehicle routing problems," European Journal of Operational Research, Elsevier, vol. 225(1), pages 1-11.
    4. Detti, Paolo & Papalini, Francesco & Lara, Garazi Zabalo Manrique de, 2017. "A multi-depot dial-a-ride problem with heterogeneous vehicles and compatibility constraints in healthcare," Omega, Elsevier, vol. 70(C), pages 1-14.
    5. Timo Gschwind & Stefan Irnich, 2012. "Effective Handling of Dynamic Time Windows and Synchronization with Precedences for Exact Vehicle Routing," Working Papers 1211, Gutenberg School of Management and Economics, Johannes Gutenberg-Universität Mainz.
    6. Michelle Dunbar & Simon Belieres & Nagesh Shukla & Mehrdad Amirghasemi & Pascal Perez & Nishikant Mishra, 2020. "A genetic column generation algorithm for sustainable spare part delivery: application to the Sydney DropPoint network," Annals of Operations Research, Springer, vol. 290(1), pages 923-941, July.
    7. Timo Gschwind & Michael Drexl, 2016. "Adaptive Large Neighborhood Search with a Constant-Time Feasibility Test for the Dial-a-Ride Problem," Working Papers 1624, Gutenberg School of Management and Economics, Johannes Gutenberg-Universität Mainz.
    8. Gupta, Gautam & Goodchild, Anne & Hansen, Mark, 2011. "A competitive, charter air-service planning model for student athlete travel," Transportation Research Part B: Methodological, Elsevier, vol. 45(1), pages 128-149, January.
    9. Gilbert Laporte, 2016. "Scheduling issues in vehicle routing," Annals of Operations Research, Springer, vol. 236(2), pages 463-474, January.
    10. Paquette, Julie & Cordeau, Jean-François & Laporte, Gilbert & Pascoal, Marta M.B., 2013. "Combining multicriteria analysis and tabu search for dial-a-ride problems," Transportation Research Part B: Methodological, Elsevier, vol. 52(C), pages 1-16.
    11. P. L. van den Berg & J. T. van Essen, 2019. "Scheduling Non-Urgent Patient Transportation While Maximizing Emergency Coverage," Transportation Science, INFORMS, vol. 53(2), pages 492-509, March.
    12. Gupta, Diwakar & Chen, Hao-Wei & Miller, Lisa A. & Surya, Fajarrani, 2010. "Improving the efficiency of demand-responsive paratransit services," Transportation Research Part A: Policy and Practice, Elsevier, vol. 44(4), pages 201-217, May.
    13. Masmoudi, Mohamed Amine & Hosny, Manar & Demir, Emrah & Genikomsakis, Konstantinos N. & Cheikhrouhou, Naoufel, 2018. "The dial-a-ride problem with electric vehicles and battery swapping stations," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 118(C), pages 392-420.
    14. Timo Gschwind, 2019. "Route feasibility testing and forward time slack for the Synchronized Pickup and Delivery Problem," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 41(2), pages 491-512, June.
    15. Verena Schmid & Karl F. Doerner, 2014. "Examination and Operating Room Scheduling Including Optimization of Intrahospital Routing," Transportation Science, INFORMS, vol. 48(1), pages 59-77, February.
    16. Qiu, Xiaoqiu & Feuerriegel, Stefan & Neumann, Dirk, 2017. "Making the most of fleets: A profit-maximizing multi-vehicle pickup and delivery selection problem," European Journal of Operational Research, Elsevier, vol. 259(1), pages 155-168.
    17. Shah, Nirav & Kumar, Subodha & Bastani, Farokh & Yen, I-Ling, 2012. "Optimization models for assessing the peak capacity utilization of intelligent transportation systems," European Journal of Operational Research, Elsevier, vol. 216(1), pages 239-251.
    18. Gizem Keysan & George L. Nemhauser & Martin W. P. Savelsbergh, 2010. "Tactical and Operational Planning of Scheduled Maintenance for Per-Seat, On-Demand Air Transportation," Transportation Science, INFORMS, vol. 44(3), pages 291-306, August.
    19. Braekers, Kris & Kovacs, Attila A., 2016. "A multi-period dial-a-ride problem with driver consistency," Transportation Research Part B: Methodological, Elsevier, vol. 94(C), pages 355-377.
    20. Schilde, M. & Doerner, K.F. & Hartl, R.F., 2014. "Integrating stochastic time-dependent travel speed in solution methods for the dynamic dial-a-ride problem," European Journal of Operational Research, Elsevier, vol. 238(1), pages 18-30.

    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:inm:orinte:v:43:y:2013:i:3:p:232-239. 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: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    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.