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Stochastic Orders in Risk-Based Overbooking


Paper Type 
Contributed Paper
Title 
Stochastic Orders in Risk-Based Overbooking
Author 
Kannapha Amaruchkul
Email 
kamaruchkul@gmail.com
Abstract:
In this article, we propose a risk-based overbooking model, in which an overbooking limit is chosen such that an expected profit is maximized. We derive an optimality condition, when a show demand given a total number of  reservations follows a binomial distribution. We also determine a directional change of  the optimal overbooking limit with respect to various model parameters, such as a show-up probability, a per-unit revenue and a per-unit oversale cost. Finally, we show that the optimal expected profit decreases, if  the show-up probability increases.
Start & End Page 
377 - 383
Received Date 
2010-02-12
Revised Date 
Accepted Date 
2010-08-05
Full Text 
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Keyword 
stochastic model applications, operations research, revenue management
Volume 
Vol.37 No.3 (SEPTEMBER 2010)
DOI 
Citation 
Amaruchkul K., Stochastic Orders in Risk-Based Overbooking, Chiang Mai J. Sci., 2010; 37(3): 377-383.
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Chiang Mai Journal of Science

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