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A Note on the Single Leg, Multifare Seat Allocation Problem

Author

Listed:
  • Michael Z. F. Li

    (Nanyang Business School, Nanyang Technological University, Nanyang Avenue, Singapore 639798)

  • Tae H. Oum

    (Faculty of Commerce and Business Administration, The University of British Columbia, 2053 Main Mall, Vancouver, British Columbia, Canada V6J 1Z2)

Abstract

In this note, we attempt to prove the equivalence of the optimality conditions from three well-known existing models that deal with the seat allocation problem for a single leg, multifare flight with independent fare class demands.

Suggested Citation

  • Michael Z. F. Li & Tae H. Oum, 2002. "A Note on the Single Leg, Multifare Seat Allocation Problem," Transportation Science, INFORMS, vol. 36(3), pages 349-353, August.
    • Handle: RePEc:inm:ortrsc:v:36:y:2002:i:3:p:349-353
    DOI: 10.1287/trsc.36.3.349.7830
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    References listed on IDEAS

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    1. S. L. Brumelle & J. I. McGill, 1993. "Airline Seat Allocation with Multiple Nested Fare Classes," Operations Research, INFORMS, vol. 41(1), pages 127-137, February.
    2. Renwick E. Curry, 1990. "Optimal Airline Seat Allocation with Fare Classes Nested by Origins and Destinations," Transportation Science, INFORMS, vol. 24(3), pages 193-204, August.
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    4. Conrad J. Lautenbacher & Shaler Stidham, 1999. "The Underlying Markov Decision Process in the Single-Leg Airline Yield-Management Problem," Transportation Science, INFORMS, vol. 33(2), pages 136-146, May.
    5. Lawrence W. Robinson, 1995. "Optimal and Approximate Control Policies for Airline Booking with Sequential Nonmonotonic Fare Classes," Operations Research, INFORMS, vol. 43(2), pages 252-263, April.
    6. Richard D. Wollmer, 1992. "An Airline Seat Management Model for a Single Leg Route When Lower Fare Classes Book First," Operations Research, INFORMS, vol. 40(1), pages 26-37, February.
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    Citations

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    Cited by:

    1. 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.
    2. Alec Morton, 2006. "Structural properties of network revenue management models: An economic perspective," Naval Research Logistics (NRL), John Wiley & Sons, vol. 53(8), pages 748-760, December.
    3. Dan Zhang & William L. Cooper, 2005. "Revenue Management for Parallel Flights with Customer-Choice Behavior," Operations Research, INFORMS, vol. 53(3), pages 415-431, June.
    4. 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.
    5. Chan Seng Pun & Diego Klabjan & Fikri Karaesmen & Sergey Shebalov, 2016. "Itinerary-based nesting control with upsell," Journal of Revenue and Pricing Management, Palgrave Macmillan, vol. 15(2), pages 107-137, April.
    6. Feng, Youyi & Xiao, Baichun, 2006. "A continuous-time seat control model for single-leg flights with no-shows and optimal overbooking upper bound," European Journal of Operational Research, Elsevier, vol. 174(2), pages 1298-1316, October.
    7. 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.
    8. Felix Papier, 2016. "Supply Allocation Under Sequential Advance Demand Information," Operations Research, INFORMS, vol. 64(2), pages 341-361, April.
    9. William L. Cooper & Diwakar Gupta, 2006. "Stochastic Comparisons in Airline Revenue Management," Manufacturing & Service Operations Management, INFORMS, vol. 8(3), pages 221-234, February.
    10. Chen, Shaoxiang & Gallego, Guillermo & Li, Michael Z.F. & Lin, Bing, 2010. "Optimal seat allocation for two-flight problems with a flexible demand segment," European Journal of Operational Research, Elsevier, vol. 201(3), pages 897-908, March.

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