Tactical fleet assignment and crew pairing problem with crew flight time allocation

Aircraft and crew are two major resources that ensure the smooth operations of airlines. However, with the anticipated growth in the aviation industry, the crew resource is predicted to be insufficient worldwide and has been one of the bottlenecks in fast-developing airlines. In addition, the mismatch between aircraft and crew has influenced the airlines' operation, and limited the full usage of all resources. To resolve this problem, we propose a tactical fleet assignment and crew pairing problem with crew flight time allocation (TFACPP). The basic integrated model is reformulated by the Benders decomposition, where the Benders master problem (BMP) poses the most significant computational barrier. To efficiently solve the BMP, we propose a column generation algorithm. The TFACPP can provide superior solutions compared to the equal allocation of crew resources. In addition, we provide a quantitative method for evaluating the scarcities of crew and aircraft resources and the matching degree between crew and aircraft based on the shadow prices of the proposed model. These information can provide rich managerial insights regarding the acquisition, replacement, and transition of crew and aircraft.