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Linear approximation approach for a stochastic seat allocation problem with cancellation & refund policy in airlines

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  • Yoon, Moon Gil
  • Lee, Hwi Young
  • Song, Yoon Sook

Abstract

This study is focused on the seat allocation problem with stochastic demands airlines to determine booking limits by fare classes in airlines. In this paper, we consider the additional constraints such as customers’ booking cancellations and airlines’ refund policy. Our problem can be modeled as a probabilistic non-linear programming model, which is difficult to solve optimally. Applying a linear approximation technique with some assumptions on the demand distribution functions, we can formulate the complex probabilistic non-linear programming model as a simple Integer Linear Programming model. Using randomly generated demands from a simulation program, the model demonstrates that revenue can be increased in a practical and effective manner.

Suggested Citation

  • Yoon, Moon Gil & Lee, Hwi Young & Song, Yoon Sook, 2012. "Linear approximation approach for a stochastic seat allocation problem with cancellation & refund policy in airlines," Journal of Air Transport Management, Elsevier, vol. 23(C), pages 41-46.
  • Handle: RePEc:eee:jaitra:v:23:y:2012:i:c:p:41-46
    DOI: 10.1016/j.jairtraman.2012.01.013
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    References listed on IDEAS

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    1. 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.
    2. H Jiang, 2008. "A Lagrangian relaxation approach for network inventory control of stochastic revenue management with perishable commodities," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(3), pages 372-380, March.
    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. Feng, Youyi & Xiao, Baichun, 2006. "Integration of pricing and capacity allocation for perishable products," European Journal of Operational Research, Elsevier, vol. 168(1), pages 17-34, January.
    5. Kalyan Talluri & Garrett van Ryzin, 1999. "A Randomized Linear Programming Method for Computing Network Bid Prices," Transportation Science, INFORMS, vol. 33(2), pages 207-216, May.
    6. Jeffrey I. McGill & Garrett J. van Ryzin, 1999. "Revenue Management: Research Overview and Prospects," Transportation Science, INFORMS, vol. 33(2), pages 233-256, May.
    7. Wlodzimierz Szwarc, 1964. "The Transportation Problem with Stochastic Demand," Management Science, INFORMS, vol. 11(1), pages 33-50, September.
    8. Wen-Chyuan Chiang & Jason C.H. Chen & Xiaojing Xu, 2007. "An overview of research on revenue management: current issues and future research," International Journal of Revenue Management, Inderscience Enterprises Ltd, vol. 1(1), pages 97-128.
    9. 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.
    10. Lawrence R. Weatherford & Samuel E. Bodily, 1992. "A Taxonomy and Research Overview of Perishable-Asset Revenue Management: Yield Management, Overbooking, and Pricing," Operations Research, INFORMS, vol. 40(5), pages 831-844, October.
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