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An Optimization Approach to Routing Aircraft

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  • Robert Richardson

    (Pfizer Inc., New York, New York)

Abstract

The optimal solution for an aircraft routing model is developed for use in the route construction process of an airline operating in long haul markets. The problem is to determine the sequence of stops for each aircraft from one base through a network of cities terminating at the original or second base. A mixed integer linear programming model is formulated to maximize the profit derived from each routing. The special structure of the mixed integer model is solved by an application of Benders’ Decomposition Method. Methods to improve the computational efficiency of the technique are examined and tested. Finally, an implementation plan for incorporating the routing model into the airline scheduling process is presented.

Suggested Citation

  • Robert Richardson, 1976. "An Optimization Approach to Routing Aircraft," Transportation Science, INFORMS, vol. 10(1), pages 52-71, February.
    • Handle: RePEc:inm:ortrsc:v:10:y:1976:i:1:p:52-71
    DOI: 10.1287/trsc.10.1.52
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    Cited by:

    1. Gendreau, Michel & Nossack, Jenny & Pesch, Erwin, 2015. "Mathematical formulations for a 1-full-truckload pickup-and-delivery problem," European Journal of Operational Research, Elsevier, vol. 242(3), pages 1008-1016.
    2. Dennis F.X. Mathaisel, 1997. "Decision Support for Airline Schedule Planning," Journal of Combinatorial Optimization, Springer, vol. 1(3), pages 251-275, October.
    3. Gutierrez, Genaro J. & Kouvelis, Panagiotis & Kurawarwala, Abbas A., 1996. "A robustness approach to uncapacitated network design problems," European Journal of Operational Research, Elsevier, vol. 94(2), pages 362-376, October.
    4. Montemanni, Roberto, 2006. "A Benders decomposition approach for the robust spanning tree problem with interval data," European Journal of Operational Research, Elsevier, vol. 174(3), pages 1479-1490, November.
    5. Jose Gonzalez-Velarde & Salvador Garcia-Lumbreras & Alberto Garcia-Diaz, 2008. "A multi-stop routing problem," Annals of Operations Research, Springer, vol. 157(1), pages 153-167, January.
    6. Mohammad M. Fazel-Zarandi & J. Christopher Beck, 2012. "Using Logic-Based Benders Decomposition to Solve the Capacity- and Distance-Constrained Plant Location Problem," INFORMS Journal on Computing, INFORMS, vol. 24(3), pages 387-398, August.

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