Optimal cargo container loading plans under stochastic demands for air express carriers

In this research, we develop a stochastic-demand cargo container loading plan model with the objective of minimizing the total operating cost, subject to the related operating constraints. The model is formulated as a nonlinear mixed integer program that is characterized as NP-hard. We employ a problem linearization technique, coupled with a mathematical programming solver, to develop a solution method. To preliminarily evaluate the model and the solution method, we perform a case study using data from an international air express carrier. The results show that the model and the solution method could be useful for air express carriers.