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Air traffic network equilibrium: Toward frequency, price and slot priority analysis

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  • Hong, Sungwook
  • Harker, Patrick T.

Abstract

This paper presents a model which is aimed at developing an efficient air traffic system for given demand and airport capacity levels by the proper pricing of landing slots. A computable Nash equilibrium model is used in the context of a two-stage, game-theoretic representation of a market mechanism for slot allocation. A variational inequality formulation is then used to solve this oligopolistic air transport market model. The choice of travellers among competing airlines is represented by a logit model. Two models are proposed for pricing of landing slots: one with an exogenously determined allocation, and the second with an endogenous allocation. Each model derives the flight patterns, ticket prices, routes, and carrier choice for passengers, and landing fees. A small example is included to illustrate the properties of the models.

Suggested Citation

  • Hong, Sungwook & Harker, Patrick T., 1992. "Air traffic network equilibrium: Toward frequency, price and slot priority analysis," Transportation Research Part B: Methodological, Elsevier, vol. 26(4), pages 307-323, August.
    • Handle: RePEc:eee:transb:v:26:y:1992:i:4:p:307-323
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    Cited by:

    1. Juan Martín & Augusto Voltes-Dorta, 2008. "Theoretical Evidence of Existing Pitfalls in Measuring Hubbing Practices in Airline Networks," Networks and Spatial Economics, Springer, vol. 8(2), pages 161-181, September.
    2. Tu, Ningwen & Li, Zhi-Chun & Fu, Xiaowen & Lei, Zheng, 2020. "Airline network competition in inter-continental market," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 143(C).
    3. Adler, Nicole & Andreana, Gianmarco, 2024. "Aiding airlines for the benefit of whom? An applied game-theoretic approach," European Journal of Operational Research, Elsevier, vol. 314(2), pages 552-564.
    4. Kita, Hideyuki & Koike, Atsushi & Tanimoto, Keishi, 2005. "Air Service Development of Local Airports and its Influence on the Formation of Aviation Networks," Research in Transportation Economics, Elsevier, vol. 13(1), pages 233-249, January.
    5. Abdelghany, Ahmed & Abdelghany, Khaled & Azadian, Farshid, 2023. "The airline seat capacity allocation problem: An expected marginal profit approach," Journal of Air Transport Management, Elsevier, vol. 112(C).
    6. Alderighi, Marco & Cento, Alessandro & Nijkamp, Peter & Rietveld, Piet, 2005. "Network competition—the coexistence of hub-and-spoke and point-to-point systems," Journal of Air Transport Management, Elsevier, vol. 11(5), pages 328-334.
    7. Li, Zhi-Chun & Lam, William H.K. & Wong, S.C. & Fu, Xiaowen, 2010. "Optimal route allocation in a liberalizing airline market," Transportation Research Part B: Methodological, Elsevier, vol. 44(7), pages 886-902, August.
    8. Vikrant Vaze & Cynthia Barnhart, 2012. "Modeling Airline Frequency Competition for Airport Congestion Mitigation," Transportation Science, INFORMS, vol. 46(4), pages 512-535, November.
    9. Marco Alderighi & Alessandro Cento & Peter Nijkamp & Piet Rietveld, 2005. "Network competition - the co-existence of hub-and-spoke and point-to-point," ERSA conference papers ersa05p703, European Regional Science Association.
    10. Adler, Nicole & Pels, Eric & Nash, Chris, 2010. "High-speed rail and air transport competition: Game engineering as tool for cost-benefit analysis," Transportation Research Part B: Methodological, Elsevier, vol. 44(7), pages 812-833, August.
    11. Saraswati, Batari & Hanaoka, Shinya, 2014. "Airport–airline cooperation under commercial revenue sharing agreements: A network approach," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 70(C), pages 17-33.
    12. Adler, Nicole & Smilowitz, Karen, 2007. "Hub-and-spoke network alliances and mergers: Price-location competition in the airline industry," Transportation Research Part B: Methodological, Elsevier, vol. 41(4), pages 394-409, May.
    13. Marti­n, Juan Carlos & Román, Concepción, 2003. "Hub location in the South-Atlantic airline market: A spatial competition game," Transportation Research Part A: Policy and Practice, Elsevier, vol. 37(10), pages 865-888, December.
    14. Sheng, Dian & Li, Zhi-Chun & Xiao, Yi-bin & Fu, Xiaowen, 2015. "Slot auction in an airport network with demand uncertainty," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 82(C), pages 79-100.
    15. Bernardes Real, Luiza & O'Kelly, Morton & de Miranda, Gilberto & Saraiva de Camargo, Ricardo, 2018. "The gateway hub location problem," Journal of Air Transport Management, Elsevier, vol. 73(C), pages 95-112.
    16. Noto, Claudio, 2020. "Airport slots, secondary trading, and congestion pricing at an airport with a dominant network airline," Research in Transportation Economics, Elsevier, vol. 79(C).
    17. Langner, Sabine J, 1995. "Contractual aspects of transacting in slots in the United States," Journal of Air Transport Management, Elsevier, vol. 2(3), pages 151-161.
    18. Adler, Nicole, 2001. "Competition in a deregulated air transportation market," European Journal of Operational Research, Elsevier, vol. 129(2), pages 337-345, March.
    19. Luis Cadarso & Vikrant Vaze & Cynthia Barnhart & Ángel Marín, 2017. "Integrated Airline Scheduling: Considering Competition Effects and the Entry of the High Speed Rail," Transportation Science, INFORMS, vol. 51(1), pages 132-154, February.
    20. Nakagawa, Dai & Aoyama, Yoshitaka & Ito, Tadashi & Nishizawa, Hiroyuki, 2005. "Assessment of passenger benefits brought about by international airport projects," Transport Policy, Elsevier, vol. 12(6), pages 512-524, November.
    21. Wang, Fan & Zhuo, Xiaopo & Niu, Baozhuang, 2017. "Strategic entry to regional air cargo market under joint competition of demand and promised delivery time," Transportation Research Part B: Methodological, Elsevier, vol. 104(C), pages 317-336.
    22. Wang, Kun & Fu, Xiaowen & Czerny, Achim I. & Hua, Guowei & Lei, Zheng, 2020. "Modeling the potential for aviation liberalization in Central Asia – Market analysis and implications for the Belt and Road Initiative," Transportation Research Part A: Policy and Practice, Elsevier, vol. 134(C), pages 184-210.
    23. Nicole Adler, 2005. "Hub-Spoke Network Choice Under Competition with an Application to Western Europe," Transportation Science, INFORMS, vol. 39(1), pages 58-72, February.
    24. Park, Yongha & O'Kelly, Morton E., 2018. "Examination of cost-efficient aircraft fleets using empirical operation data in US aviation markets," Journal of Air Transport Management, Elsevier, vol. 69(C), pages 224-234.

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