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Scheduling of Time-Shared Jet Aircraft

Author

Listed:
  • Pinar Keskinocak

    (Graduate School of Industrial Administration, Carnegie Mellon University, Pittsburgh, PA 15213)

  • Sridhar Tayur

    (Graduate School of Industrial Administration, Carnegie Mellon University, Pittsburgh, PA 15213)

Abstract

Motivated by a real application, we consider the following aircraft scheduling problem. At any time, the aircraft are at different locations or are serving a customer and new customer requests arrive, each consisting of a departure location, departure time, and destination. Our objective is to satify these requests (by subcontracting extra aircraft if necessary) at minimum cost under additional constraints of maintenance requirements and previously scheduled trips. We show that the jet aircraft scheduling problem is NP complete and discuss three special cases. We show that the second and third special cases are also NP complete. We provide a polynomial time network flow based algorithm for the first special case and a pseudo-polynomial time dynamic programming algorithm for the second special case. We formulate the problem as a 0–1 integer program and observe that most small and medium size problems can be solved by Cplex. For larger and difficult instances, we provide a fast heuristic with good performance.

Suggested Citation

  • Pinar Keskinocak & Sridhar Tayur, 1998. "Scheduling of Time-Shared Jet Aircraft," Transportation Science, INFORMS, vol. 32(3), pages 277-294, August.
    • Handle: RePEc:inm:ortrsc:v:32:y:1998:i:3:p:277-294
    DOI: 10.1287/trsc.32.3.277
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    References listed on IDEAS

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    1. Kolen, Antoon W. J. & Kroon, Leo G., 1991. "On the computational complexity of (maximum) class scheduling," European Journal of Operational Research, Elsevier, vol. 54(1), pages 23-38, September.
    2. Avishai Ceder & Helman I. Stern, 1981. "Deficit Function Bus Scheduling with Deadheading Trip Insertions for Fleet Size Reduction," Transportation Science, INFORMS, vol. 15(4), pages 338-363, November.
    3. Kolen, Antoon W. J. & Kroon, Leo G., 1993. "On the computational complexity of (maximum) shift class scheduling," European Journal of Operational Research, Elsevier, vol. 64(1), pages 138-151, January.
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    Citations

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    Cited by:

    1. Sridhar Tayur, 2017. "OM Forum—An Essay on Operations Management," Manufacturing & Service Operations Management, INFORMS, vol. 19(4), pages 526-533, October.
    2. Zolfagharinia, Hossein & Haughton, Michael, 2014. "The benefit of advance load information for truckload carriers," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 70(C), pages 34-54.
    3. Chris Martin & David Jones & Pinar Keskinocak, 2003. "Optimizing On-Demand Aircraft Schedules for Fractional Aircraft Operators," Interfaces, INFORMS, vol. 33(5), pages 22-35, October.
    4. Zolfagharinia, Hossein & Haughton, Michael, 2016. "Effective truckload dispatch decision methods with incomplete advance load information," European Journal of Operational Research, Elsevier, vol. 252(1), pages 103-121.
    5. Oliver Faust & Jochen Gönsch & Robert Klein, 2017. "Demand-Oriented Integrated Scheduling for Point-to-Point Airlines," Transportation Science, INFORMS, vol. 51(1), pages 196-213, February.
    6. Richard Hicks & Richard Madrid & Chris Milligan & Robert Pruneau & Mike Kanaley & Yvan Dumas & Benoit Lacroix & Jacques Desrosiers & François Soumis, 2005. "Bombardier Flexjet Significantly Improves Its Fractional Aircraft Ownership Operations," Interfaces, INFORMS, vol. 35(1), pages 49-60, February.
    7. 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.
    8. Zolfagharinia, Hossein & Haughton, Michael A., 2017. "Operational flexibility in the truckload trucking industry," Transportation Research Part B: Methodological, Elsevier, vol. 104(C), pages 437-460.
    9. Zolfagharinia, Hossein & Haughton, Michael, 2018. "The importance of considering non-linear layover and delay costs for local truckers," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 109(C), pages 331-355.
    10. Munari, Pedro & Alvarez, Aldair, 2019. "Aircraft routing for on-demand air transportation with service upgrade and maintenance events: Compact model and case study," Journal of Air Transport Management, Elsevier, vol. 75(C), pages 75-84.
    11. Wei Yang & Itır Karaesmen & Pınar Keskinocak & Sridhar Tayur, 2008. "Aircraft and crew scheduling for fractional ownership programs," Annals of Operations Research, Springer, vol. 159(1), pages 415-431, March.

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