Current air traffic control (ATC) procedures sequence aircraft arrivals in the First Come First Serve (FCFS) order which is more suitable for low traffic intensity aerodrome. For higher traffic intensity aerodrome, the FCFS method could be inefficient since it requires a longer horizontal minimum separation between two following aircrafts. This research has developed a mathematical model, based on a well-known open loop traveling salesman problem (OTSP), for sequencing the aircraft arrivals into the final approach area. In our study, the aircrafts are categorized into 3 maximum take-off weights, e.g., heavy (H), medium (M) and light (L), that are used for considering the minimum aircraft separation distance both in the aerodrome and on the runway after aircrafts’ landing. The multi-objective programming using 1) maximizing runway capacity, 2) minimizing total delay in landing time, and 3) minimizing excess air pollution caused by aircraft emission has been developed. The weighting sum method for the multiple objectives is used to differentiate the importance of objectives and the ATC’s control policy. The case study adopts aircraft arrival data from the Suvarnabhumi Airport, Bangkok, Thailand to demonstrate the capability of the model. The simulated weights for three objectives altered from the airport’s operation and policy are tested and analyzed. The results indicate our proposed model outperforms the current control systems in all performances including capacity, delay, and emission.