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Maximizing Revenues of Perishable Assets with a Risk Factor

Author

Listed:
  • Youyi Feng

    (National University of Singapore, Republic of Singapore)

  • Baichun Xiao

    (Seton Hall University, South Orange, New Jersey and Long Island University, C. W. Post Campus, Brookville, New York)

Abstract

This article presents a risk-sensitive pricing model to maximize sales revenue of perishable commodities with fixed capacity and finite sales horizon. The model assumes a pair of predetermined prices and the Poisson demand process whose intensity is a decreasing function of price. When optimizing the expected revenue, management takes business risk into account by adding a penalty (or premium) to the objective function. We solve the continuous-time model with the exact solution in closed form. We further analyze the influence of risk attitude on optimal policies.

Suggested Citation

  • Youyi Feng & Baichun Xiao, 1999. "Maximizing Revenues of Perishable Assets with a Risk Factor," Operations Research, INFORMS, vol. 47(2), pages 337-341, April.
    • Handle: RePEc:inm:oropre:v:47:y:1999:i:2:p:337-341
    DOI: 10.1287/opre.47.2.337
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    References listed on IDEAS

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    1. Guillermo Gallego & Garrett van Ryzin, 1994. "Optimal Dynamic Pricing of Inventories with Stochastic Demand over Finite Horizons," Management Science, INFORMS, vol. 40(8), pages 999-1020, August.
    2. Youyi Feng & Guillermo Gallego, 1995. "Optimal Starting Times for End-of-Season Sales and Optimal Stopping Times for Promotional Fares," Management Science, INFORMS, vol. 41(8), pages 1371-1391, August.
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    Cited by:

    1. Schlosser, Rainer & Gönsch, Jochen, 2023. "Risk-averse dynamic pricing using mean-semivariance optimization," European Journal of Operational Research, Elsevier, vol. 310(3), pages 1151-1163.
    2. 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.
    3. Koenig, Matthias & Meissner, Joern, 2015. "Value-at-risk optimal policies for revenue management problems," International Journal of Production Economics, Elsevier, vol. 166(C), pages 11-19.
    4. Andy Wei‐Di Wu & David Ming‐Huang Chiang, 2011. "Fashion products with asymmetric sales horizons," Naval Research Logistics (NRL), John Wiley & Sons, vol. 58(5), pages 490-506, August.
    5. Yuri Levin & Jeff McGill & Mikhail Nediak, 2008. "Risk in Revenue Management and Dynamic Pricing," Operations Research, INFORMS, vol. 56(2), pages 326-343, April.
    6. Youyi Feng & Baichun Xiao, 2001. "A Dynamic Airline Seat Inventory Control Model and Its Optimal Policy," Operations Research, INFORMS, vol. 49(6), pages 938-949, December.
    7. Ibrahim, Michael Nawar & Atiya, Amir F., 2016. "Analytical solutions to the dynamic pricing problem for time-normalized revenue," European Journal of Operational Research, Elsevier, vol. 254(2), pages 632-643.
    8. Koenig, Matthias & Meissner, Joern, 2010. "List pricing versus dynamic pricing: Impact on the revenue risk," European Journal of Operational Research, Elsevier, vol. 204(3), pages 505-512, August.
    9. 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.
    10. Berk, Emre & Gürler, Ülkü & YIldIrIm, Gonca, 2009. "On pricing of perishable assets with menu costs," International Journal of Production Economics, Elsevier, vol. 121(2), pages 678-699, October.
    11. Sebastian Koch & Jochen Gönsch & Michael Hassler & Robert Klein, 2016. "Practical decision rules for risk-averse revenue management using simulation-based optimization," Journal of Revenue and Pricing Management, Palgrave Macmillan, vol. 15(6), pages 468-487, December.
    12. Jochen Gönsch & Michael Hassler & Rouven Schur, 2018. "Optimizing conditional value-at-risk in dynamic pricing," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 40(3), pages 711-750, July.
    13. Banerjee, Pradeep K. & Turner, T. Rolf, 2012. "A flexible model for the pricing of perishable assets," Omega, Elsevier, vol. 40(5), pages 533-540.
    14. 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.
    15. William L. Cooper, 2002. "Asymptotic Behavior of an Allocation Policy for Revenue Management," Operations Research, INFORMS, vol. 50(4), pages 720-727, August.
    16. Youyi Feng & Baichun Xiao, 2000. "Optimal Policies of Yield Management with Multiple Predetermined Prices," Operations Research, INFORMS, vol. 48(2), pages 332-343, April.
    17. Gabriel Bitran & René Caldentey, 2003. "An Overview of Pricing Models for Revenue Management," Manufacturing & Service Operations Management, INFORMS, vol. 5(3), pages 203-229, August.
    18. Schur, Rouven & Gönsch, Jochen & Hassler, Michael, 2019. "Time-consistent, risk-averse dynamic pricing," European Journal of Operational Research, Elsevier, vol. 277(2), pages 587-603.
    19. Sen, Alper & Zhang, Alex X., 2009. "Style goods pricing with demand learning," European Journal of Operational Research, Elsevier, vol. 196(3), pages 1058-1075, August.
    20. Gönsch, Jochen, 2017. "A survey on risk-averse and robust revenue management," European Journal of Operational Research, Elsevier, vol. 263(2), pages 337-348.
    21. Anna Karpowicz & Krzysztof Szajowski, 2007. "Double optimal stopping times and dynamic pricing problem: description of the mathematical model," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 66(2), pages 235-253, October.
    22. 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.
    23. Poormoaied, Saeed & Atan, Zümbül, 2020. "A multi-attribute utility theory approach to ordering policy for perishable items," International Journal of Production Economics, Elsevier, vol. 225(C).

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