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Analysis of seat allocation and overbooking decisions with hybrid information

Author

Listed:
  • Lan, Yingjie
  • Ball, Michael O.
  • Karaesmen, Itir Z.
  • Zhang, Jean X.
  • Liu, Gloria X.

Abstract

We investigate a single-leg airline revenue management problem where an airline has limited demand information and uncensored no-show information. To use such hybrid information for simultaneous overbooking and booking control decisions, we combine expected overbooking cost with revenue. Then we take a robust optimization approach with a regret-based criterion. While the criterion is defined on a myriad of possible demand scenarios, we show that only a small number of them are necessary to compute the objective. We also prove that nested booking control policies are optimal among all deterministic ones. We further develop an effective computational method to find the optimal policy and compare our policy to others proposed in the literature.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:ejores:v:240:y:2015:i:2:p:493-504
    DOI: 10.1016/j.ejor.2014.07.021
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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. Richard E. Chatwin, 1999. "Continuous-Time Airline Overbooking with Time-Dependent Fares and Refunds," Transportation Science, INFORMS, vol. 33(2), pages 182-191, May.
    5. Jiaqiao Hu & Michael C. Fu & Steven I. Marcus, 2007. "A Model Reference Adaptive Search Method for Global Optimization," Operations Research, INFORMS, vol. 55(3), pages 549-568, June.
    6. 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.
    7. E. Shlifer & Y. Vardi, 1975. "An Airline Overbooking Policy," Transportation Science, INFORMS, vol. 9(2), pages 101-114, May.
    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. Mark Zlochin & Mauro Birattari & Nicolas Meuleau & Marco Dorigo, 2004. "Model-Based Search for Combinatorial Optimization: A Critical Survey," Annals of Operations Research, Springer, vol. 131(1), pages 373-395, October.
    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. 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.
    12. Jeffrey I. McGill & Garrett J. van Ryzin, 1999. "Revenue Management: Research Overview and Prospects," Transportation Science, INFORMS, vol. 33(2), pages 233-256, May.
    13. Michael R. Wagner, 2010. "Fully Distribution-Free Profit Maximization: The Inventory Management Case," Mathematics of Operations Research, INFORMS, vol. 35(4), pages 728-741, November.
    14. Youyi Feng & Baichun Xiao, 2008. "Technical Note---A Risk-Sensitive Model for Managing Perishable Products," Operations Research, INFORMS, vol. 56(5), pages 1305-1311, October.
    15. Reuven Rubinstein, 1999. "The Cross-Entropy Method for Combinatorial and Continuous Optimization," Methodology and Computing in Applied Probability, Springer, vol. 1(2), pages 127-190, September.
    16. 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.
    17. Alexander Erdelyi & Huseyin Topaloglu, 2010. "A Dynamic Programming Decomposition Method for Making Overbooking Decisions Over an Airline Network," INFORMS Journal on Computing, INFORMS, vol. 22(3), pages 443-456, August.
    18. 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.
    19. Sumit Kunnumkal & Kalyan Talluri & Huseyin Topaloglu, 2012. "A Randomized Linear Programming Method for Network Revenue Management with Product-Specific No-Shows," Transportation Science, INFORMS, vol. 46(1), pages 90-108, February.
    20. Georgia Perakis & Guillaume Roels, 2010. "Robust Controls for Network Revenue Management," Manufacturing & Service Operations Management, INFORMS, vol. 12(1), pages 56-76, November.
    21. Andrew E. B. Lim & J. George Shanthikumar & Gah-Yi Vahn, 2012. "Robust Portfolio Choice with Learning in the Framework of Regret: Single-Period Case," Management Science, INFORMS, vol. 58(9), pages 1732-1746, September.
    22. H Xiong & J Xie & X Deng, 2011. "Risk-averse decision making in overbooking problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(9), pages 1655-1665, September.
    23. Marvin Rothstein, 1971. "An Airline Overbooking Model," Transportation Science, INFORMS, vol. 5(2), pages 180-192, May.
    24. 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.
    25. C. Barz & K. Waldmann, 2007. "Risk-sensitive capacity control in revenue management," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 65(3), pages 565-579, June.
    26. Itir Karaesmen & Garrett van Ryzin, 2004. "Overbooking with Substitutable Inventory Classes," Operations Research, INFORMS, vol. 52(1), pages 83-104, February.
    27. 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.
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    6. Gönsch, Jochen, 2017. "A survey on risk-averse and robust revenue management," European Journal of Operational Research, Elsevier, vol. 263(2), pages 337-348.
    7. Xu, Guangming & Liu, Yihan & Gao, Yihan & Liu, Wei, 2023. "Integrated optimization of train stopping plan and seat allocation scheme for railway systems under equilibrium travel choice and elastic demand," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 177(C).
    8. Doraid Dalalah & Mohammad Khasawneh & Sharafuddin Khan, 2022. "Pricing and demand management of air tickets using a multiplicative newsvendor model," Journal of Revenue and Pricing Management, Palgrave Macmillan, vol. 21(5), pages 517-528, October.

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