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Passenger Flow Model for Airline Networks

Author

Listed:
  • Jonathan Dumas

    (GERAD and Département de mathématiques et de génie industriel, École Polytechnique de Montréal, Montréal, Québec, Canada H3C 3A7)

  • François Soumis

    (GERAD and Département de mathématiques et de génie industriel, École Polytechnique de Montréal, Montréal, Québec, Canada H3C 3A7)

Abstract

We present a model that rapidly finds an approximation of the expected passenger flow on an airline network, given forecast data concerning (1) the distribution of the demand for each itinerary, seen as a random variable; (2) the time distribution of booking requests for each itinerary; and (3) the proportion of spill (from an itinerary) that is attracted to a given alternative itinerary. Solutions are found in a few seconds for a 30,000 itinerary network. Results differ from the expected passenger flow found by a simulation by about 0.1% for load factors below 80%.

Suggested Citation

  • Jonathan Dumas & François Soumis, 2008. "Passenger Flow Model for Airline Networks," Transportation Science, INFORMS, vol. 42(2), pages 197-207, May.
    • Handle: RePEc:inm:ortrsc:v:42:y:2008:i:2:p:197-207
    DOI: 10.1287/trsc.1070.0206
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    References listed on IDEAS

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    1. Cynthia Barnhart & Timothy S. Kniker & Manoj Lohatepanont, 2002. "Itinerary-Based Airline Fleet Assignment," Transportation Science, INFORMS, vol. 36(2), pages 199-217, May.
    2. François Soumis & Anna Nagurney, 1993. "A Stochastic, Multiclass Airline Network Equilibrium Model," Operations Research, INFORMS, vol. 41(4), pages 721-730, August.
    3. Swan, William M., 2002. "Airline demand distributions: passenger revenue management and spill," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 38(3-4), pages 253-263, May.
    4. Robert L. Phillips & Dean W. Boyd & Thomas A. Grossman, 1991. "An Algorithm for Calculating Consistent Itinerary Flows," Transportation Science, INFORMS, vol. 25(3), pages 225-239, August.
    5. Jeph Abara, 1989. "Applying Integer Linear Programming to the Fleet Assignment Problem," Interfaces, INFORMS, vol. 19(4), pages 20-28, August.
    6. Radhika Subramanian & Richard P. Scheff & John D. Quillinan & D. Steve Wiper & Roy E. Marsten, 1994. "Coldstart: Fleet Assignment at Delta Air Lines," Interfaces, INFORMS, vol. 24(1), pages 104-120, February.
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    Cited by:

    1. Hai Jiang & Cynthia Barnhart, 2009. "Dynamic Airline Scheduling," Transportation Science, INFORMS, vol. 43(3), pages 336-354, August.
    2. Li, Juan & Tang, Ou, 2012. "Capacity and pricing policies with consumer overflow behavior," International Journal of Production Economics, Elsevier, vol. 140(2), pages 825-832.
    3. Dumas, Jonathan & Aithnard, Fati & Soumis, Franois, 2009. "Improving the objective function of the fleet assignment problem," Transportation Research Part B: Methodological, Elsevier, vol. 43(4), pages 466-475, May.
    4. Kroon, L.G. & Maróti, G. & Nielsen, L.K., 2010. "Rescheduling of Railway Rolling Stock with Dynamic Passenger Flows," ERIM Report Series Research in Management ERS-2010-045-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    5. Leo Kroon & Gábor Maróti & Lars Nielsen, 2015. "Rescheduling of Railway Rolling Stock with Dynamic Passenger Flows," Transportation Science, INFORMS, vol. 49(2), pages 165-184, May.
    6. Cadarso, Luis & Marín, Ángel & Maróti, Gábor, 2013. "Recovery of disruptions in rapid transit networks," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 53(C), pages 15-33.

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