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A Mixed-Integer Programming Approach to Air Cargo Fleet Planning

Author

Listed:
  • Roy E. Marsten

    (University of Arizona)

  • Michael R. Muller

    (The Flying Tiger Line, Los Angeles)

Abstract

This paper deals with the mathematical programming aspects of a long range planning study done for the Flying Tiger Line, an all-cargo airline. The study addressed two strategic problems: the design of the service network and the selection and deployment of the aircraft fleet. We show how the concept of a spider graph provides a natural building block for network design and present a mixed-integer programming model that enables the planner to evaluate any network constructed from spider graphs by determining the most profitable selection of aircraft and routing of cargo.

Suggested Citation

  • Roy E. Marsten & Michael R. Muller, 1980. "A Mixed-Integer Programming Approach to Air Cargo Fleet Planning," Management Science, INFORMS, vol. 26(11), pages 1096-1107, November.
    • Handle: RePEc:inm:ormnsc:v:26:y:1980:i:11:p:1096-1107
    DOI: 10.1287/mnsc.26.11.1096
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    Cited by:

    1. J. F. Campbell & A. T. Ernst & M. Krishnamoorthy, 2005. "Hub Arc Location Problems: Part I---Introduction and Results," Management Science, INFORMS, vol. 51(10), pages 1540-1555, October.
    2. Roberto Galvão, 2007. "Comments on: Static pickup and delivery problems: a classification scheme and survey," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 15(1), pages 37-40, July.
    3. Hande Yaman & Oya Ekin Karasan & Bahar Y. Kara, 2012. "Release Time Scheduling and Hub Location for Next-Day Delivery," Operations Research, INFORMS, vol. 60(4), pages 906-917, August.
    4. Selim Çetiner & Canan Sepil & Haldun Süral, 2010. "Hubbing and routing in postal delivery systems," Annals of Operations Research, Springer, vol. 181(1), pages 109-124, December.
    5. Delgado, Felipe & Trincado, Ricardo & Pagnoncelli, Bernardo K., 2019. "A multistage stochastic programming model for the network air cargo allocation under capacity uncertainty," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 131(C), pages 292-307.
    6. Phillip J. Lederer & Ramakrishnan S. Nambimadom, 1998. "Airline Network Design," Operations Research, INFORMS, vol. 46(6), pages 785-804, December.
    7. Delgado, Felipe & Sirhan, Cristóbal & Katscher, Mathias & Larrain, Homero, 2020. "Recovering from demand disruptions on an air cargo network," Journal of Air Transport Management, Elsevier, vol. 85(C).
    8. Delgado, Felipe & Mora, Julio, 2021. "A matheuristic approach to the air-cargo recovery problem under demand disruption," Journal of Air Transport Management, Elsevier, vol. 90(C).

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