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Optimal overbooking model for car rental business with two levels of prices having stochastic joint booking and show-up levels

Author

Listed:
  • Naragain Phumchusri

    (Chulalongkorn University)

  • Phatsakorn Sangsukiam

    (Chulalongkorn University)

  • Nannapat Chariyasethapong

    (Chulalongkorn University)

Abstract

Overbooking is a technique in revenue management which offers products or services more than the amount available because there is a possibility that some purchasers may later cancel their purchases. In car rental overbooking problem, overbooking model is complicated because in car rental business, different types of car must be taken into account. This paper presents a mathematical overbooking model for car rental business with two levels of prices in order to find the optimal overbooking levels which minimize the total cost, consisting of opportunity cost, outsourcing cost, and upgrading cost. Booking requests and show-up customers are joint random variables which follow some known joint distributions. Sensitivity analysis is performed to examine the effects of parameters in the overbooking model on the optimal overbooking levels. Due to the complication of the overbooking model, several simplified models are presented as alternative methods for estimating the solutions of the overbooking problem. The results show that the total cost difference between the optimal model and the proposed regression models is in the range of about 3.2–14.09%. The expected total cost when the overbooking policy is implemented is also compared to the total cost when there is no overbooking policy to explore how overbooking decision is significant in minimizing total cost.

Suggested Citation

  • Naragain Phumchusri & Phatsakorn Sangsukiam & Nannapat Chariyasethapong, 2020. "Optimal overbooking model for car rental business with two levels of prices having stochastic joint booking and show-up levels," Journal of Revenue and Pricing Management, Palgrave Macmillan, vol. 19(3), pages 190-209, June.
    • Handle: RePEc:pal:jorapm:v:19:y:2020:i:3:d:10.1057_s41272-019-00210-9
    DOI: 10.1057/s41272-019-00210-9
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    References listed on IDEAS

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    1. Chevalier, Philippe & Lamas, Alejandro & Lu, Liang & Mlinar, Tanja, 2015. "Revenue management for operations with urgent orders," European Journal of Operational Research, Elsevier, vol. 240(2), pages 476-487.
    2. Barry C. Smith & John F. Leimkuhler & Ross M. Darrow, 1992. "Yield Management at American Airlines," Interfaces, INFORMS, vol. 22(1), pages 8-31, February.
    3. Koide, Takeshi & Ishii, Hiroaki, 2005. "The hotel yield management with two types of room prices, overbooking and cancellations," International Journal of Production Economics, Elsevier, vol. 93(1), pages 417-428, January.
    4. Jeffrey I. McGill & Garrett J. van Ryzin, 1999. "Revenue Management: Research Overview and Prospects," Transportation Science, INFORMS, vol. 33(2), pages 233-256, May.
    5. William J. Carroll & Richard C. Grimes, 1995. "Evolutionary Change in Product Management: Experiences in the Car Rental Industry," Interfaces, INFORMS, vol. 25(5), pages 84-104, October.
    6. Li, Dong & Pang, Zhan, 2017. "Dynamic booking control for car rental revenue management: A decomposition approach," European Journal of Operational Research, Elsevier, vol. 256(3), pages 850-867.
    7. Sierag, D.D. & Koole, G.M. & van der Mei, R.D. & van der Rest, J.I. & Zwart, B., 2015. "Revenue management under customer choice behaviour with cancellations and overbooking," European Journal of Operational Research, Elsevier, vol. 246(1), pages 170-185.
    8. Oliveira, Beatriz Brito & Carravilla, Maria Antónia & Oliveira, José Fernando, 2017. "Fleet and revenue management in car rental companies: A literature review and an integrated conceptual framework," Omega, Elsevier, vol. 71(C), pages 11-26.
    9. Suzuki, Yoshinori, 2006. "The net benefit of airline overbooking," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 42(1), pages 1-19, January.
    10. Lazov, Igor, 2017. "Profit management of car rental companies," European Journal of Operational Research, Elsevier, vol. 258(1), pages 307-314.
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