Stochastic Orders in Risk-Based Overbooking
Kannapha Amaruchkul* Author for corresponding; e-mail address: kamaruchkul@gmail.com
Volume: Vol.37 No.3 (SEPTEMBER 2010)
Research Article
DOI:
Received: 12 Febuary 2010, Revised: -, Accepted: 5 August 2010, Published: -
Citation: Amaruchkul K., Stochastic Orders in Risk-Based Overbooking, Chiang Mai Journal of Science, 2010; 37(3): 377-383.
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.