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Single-Leg Airline Revenue Management with Overbooking

Author

Listed:
  • Nurşen Aydın

    (Manufacturing Systems and Industrial Engineering, Sabancı University, Orhanlı-Tuzla, 34956 Istanbul, Turkey)

  • Ş. İlker Birbil

    (Manufacturing Systems and Industrial Engineering, Sabancı University, Orhanlı-Tuzla, 34956 Istanbul, Turkey)

  • J. B. G. Frenk

    (Manufacturing Systems and Industrial Engineering, Sabancı University, Orhanlı-Tuzla, 34956 Istanbul, Turkey)

  • Nilay Noyan

    (Manufacturing Systems and Industrial Engineering, Sabancı University, Orhanlı-Tuzla, 34956 Istanbul, Turkey)

Abstract

Airline revenue management is concerned with identifying the maximum revenue seat allocation policies. Because a major loss in revenue results from cancellations and no-shows, overbooking has received significant attention in the literature over the years. In this study, we propose new static and dynamic single-leg overbooking models. In the static case we introduce two models: the first one aims to determine the overbooking limit and the second one is about finding the overbooking limit and the booking limits to allocate the virtual capacity among multiple fare classes. Because the second static model is hard to solve, we also introduce computationally tractable models that give upper and lower bounds on its optimal expected net revenue. In the dynamic case, we propose a dynamic programming model, which is based on two streams of events. The first stream corresponds to the arrival of booking requests and the second one corresponds to the cancellations. We conduct simulation experiments to illustrate the effectiveness of the proposed models.

Suggested Citation

  • Nurşen Aydın & Ş. İlker Birbil & J. B. G. Frenk & Nilay Noyan, 2013. "Single-Leg Airline Revenue Management with Overbooking," Transportation Science, INFORMS, vol. 47(4), pages 560-583, November.
  • Handle: RePEc:inm:ortrsc:v:47:y:2013:i:4:p:560-583
    DOI: 10.1287/trsc.1120.0444
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    References listed on IDEAS

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    1. Yingjie Lan & Michael O. Ball & Itir Z. Karaesmen, 2011. "Regret in Overbooking and Fare-Class Allocation for Single Leg," Manufacturing & Service Operations Management, INFORMS, vol. 13(2), pages 194-208, December.
    2. Janakiram Subramanian & Shaler Stidham & Conrad J. Lautenbacher, 1999. "Airline Yield Management with Overbooking, Cancellations, and No-Shows," Transportation Science, INFORMS, vol. 33(2), pages 147-167, May.
    3. Barry C. Smith & John F. Leimkuhler & Ross M. Darrow, 1992. "Yield Management at American Airlines," Interfaces, INFORMS, vol. 22(1), pages 8-31, February.
    4. Steven A. Lippman & Shaler Stidham, 1977. "Individual versus Social Optimization in Exponential Congestion Systems," Operations Research, INFORMS, vol. 25(2), pages 233-247, April.
    5. Richard E. Chatwin, 1999. "Continuous-Time Airline Overbooking with Time-Dependent Fares and Refunds," Transportation Science, INFORMS, vol. 33(2), pages 182-191, May.
    6. Huseyin Topaloglu & S. Ilker Birbil & J. B. G. Frenk & Nilay Noyan, 2012. "Tractable Open Loop Policies for Joint Overbooking and Capacity Control Over a Single Flight Leg with Multiple Fare Classes," Transportation Science, INFORMS, vol. 46(4), pages 460-481, November.
    7. Yingjie Lan & Huina Gao & Michael O. Ball & Itir Karaesmen, 2008. "Revenue Management with Limited Demand Information," Management Science, INFORMS, vol. 54(9), pages 1594-1609, September.
    8. Garrett van Ryzin & Jeff McGill, 2000. "Revenue Management Without Forecasting or Optimization: An Adaptive Algorithm for Determining Airline Seat Protection Levels," Management Science, INFORMS, vol. 46(6), pages 760-775, June.
    9. Sumit Kunnumkal & Huseyin Topaloglu, 2009. "A stochastic approximation method for the single-leg revenue management problem with discrete demand distributions," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 70(3), pages 477-504, December.
    10. Alstrup, Jens & Boas, Soren & Madsen, Oli B. G. & Vidal, ReneVictor Valqui, 1986. "Booking policy for flights with two types of passengers," European Journal of Operational Research, Elsevier, vol. 27(3), pages 274-288, December.
    11. Marvin Rothstein, 1985. "OR Forum—OR and the Airline Overbooking Problem," Operations Research, INFORMS, vol. 33(2), pages 237-248, April.
    12. Kalyan Talluri & Garrett van Ryzin, 2004. "Revenue Management Under a General Discrete Choice Model of Consumer Behavior," Management Science, INFORMS, vol. 50(1), pages 15-33, January.
    13. c{S}. .Ilker Birbil & J. B. G. Frenk & Joaquim A. S. Gromicho & Shuzhong Zhang, 2009. "The Role of Robust Optimization in Single-Leg Airline Revenue Management," Management Science, INFORMS, vol. 55(1), pages 148-163, January.
    14. Jin Y. Yen, 1971. "Finding the K Shortest Loopless Paths in a Network," Management Science, INFORMS, vol. 17(11), pages 712-716, July.
    15. Richard E. Chatwin, 1998. "Multiperiod Airline Overbooking with a Single Fare Class," Operations Research, INFORMS, vol. 46(6), pages 805-819, December.
    16. Marvin Rothstein, 1971. "An Airline Overbooking Model," Transportation Science, INFORMS, vol. 5(2), pages 180-192, May.
    17. Peter P. Belobaba, 1989. "OR Practice—Application of a Probabilistic Decision Model to Airline Seat Inventory Control," Operations Research, INFORMS, vol. 37(2), pages 183-197, April.
    18. Itir Karaesmen & Garrett van Ryzin, 2004. "Overbooking with Substitutable Inventory Classes," Operations Research, INFORMS, vol. 52(1), pages 83-104, February.
    19. J Coughlan, 1999. "Airline overbooking in the multi-class case," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 50(11), pages 1098-1103, November.
    20. Michael O. Ball & Maurice Queyranne, 2009. "Toward Robust Revenue Management: Competitive Analysis of Online Booking," Operations Research, INFORMS, vol. 57(4), pages 950-963, August.
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    Cited by:

    1. Ş. İlker Birbil & J. B. G. Frenk & Joaquim A. S. Gromicho & Shuzhong Zhang, 2014. "A Network Airline Revenue Management Framework Based on Decomposition by Origins and Destinations," Transportation Science, INFORMS, vol. 48(3), pages 313-333, August.
    2. David Sayah & Stefan Irnich, 2019. "Optimal booking control in revenue management with two substitutable resources," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 89(2), pages 189-222, April.
    3. Lan, Yingjie & Ball, Michael O. & Karaesmen, Itir Z. & Zhang, Jean X. & Liu, Gloria X., 2015. "Analysis of seat allocation and overbooking decisions with hybrid information," European Journal of Operational Research, Elsevier, vol. 240(2), pages 493-504.
    4. Maisonnave, Hélène & Mamboundou, Pierre Nziengui, 2022. "Agricultural economic reforms, gender inequality and poverty in Senegal," Journal of Policy Modeling, Elsevier, vol. 44(2), pages 361-374.
    5. Mika Sumida & Huseyin Topaloglu, 2019. "An Approximation Algorithm for Capacity Allocation Over a Single Flight Leg with Fare-Locking," INFORMS Journal on Computing, INFORMS, vol. 31(1), pages 83-99, February.
    6. David Sayah & Stefan Irnich, 2016. "Optimal Booking Control in Airline Revenue Management with Two Flights and Flexible Products," Working Papers 1604, Gutenberg School of Management and Economics, Johannes Gutenberg-Universität Mainz.
    7. ChihChien Chen, 2016. "Cancellation policies in the hotel, airline and restaurant industries," Journal of Revenue and Pricing Management, Palgrave Macmillan, vol. 15(3), pages 270-275, July.
    8. Aydin, N. & Birbil, S.I., 2018. "Decomposition methods for dynamic room allocation in hotel revenue management," European Journal of Operational Research, Elsevier, vol. 271(1), pages 179-192.
    9. Klein, Robert & Koch, Sebastian & Steinhardt, Claudius & Strauss, Arne K., 2020. "A review of revenue management: Recent generalizations and advances in industry applications," European Journal of Operational Research, Elsevier, vol. 284(2), pages 397-412.
    10. Nurşen Aydın & Ş. İlker Birbil & Hüseyin Topaloğlu, 2017. "Delayed Purchase Options in Single-Leg Revenue Management," Transportation Science, INFORMS, vol. 51(4), pages 1031-1045, November.
    11. Liang, Jinpeng & Li, Liming & Zheng, Jianfeng & Tan, Zhijia, 2023. "Service-oriented container slot allocation policy under stochastic demand," Transportation Research Part B: Methodological, Elsevier, vol. 176(C).

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