An efficient algorithm for solving the system optimisation problem in transportation

In this paper, the classical optimal control problem in air transportation system is studied. The optimisation model is based on the principle of 'first come first serve' and the arrival traffic flow only occurs in the first queue which is assumed to be infinite. In addition, it is assumed that all processing times and arrival intervals are predefined. This paper aims to propose a new optimal control problem of series air traffic system and an effective solution. The exact algorithm of each sub-segment is given, and the required results are obtained. Numerical experiments show the effectiveness of the algorithm.