In this paper, we address the two dimensional (weight and volume) overbooking problem in air cargo revenue management. We study two characterizations of showing up bookings and establish that the optimal overbooking limits can be the same under both characterizations. However, di?erent booking characteriza- tions lead to di?erent costs. For the two dimensional problem, we ˉrst use real life data to statistically justify some basic assumptions among show up rate, density and bookings. Then, we present the "box model", which has a ˉxed weight (and a volume) overbooking limit for all cargo densities. Finally, we provide a "general model" whose overbooking limits are given by a curve. We illustrate how the curve can be found.
展开▼
