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Fast simulation technology is very important to explore the consequences of air traffic management decision. Although a variety of simulation tools have been developed to make decisions for air traffic controllers, the cognitive process of air traffic controllers is not effectively integrated into these tools. This article studies a probabilistic cellular automata (CA) model for air traffic flow simulation. By introducing the safety distance parameter into the CA model, the equilibrium property of air traffic system is studiedusing the statistical physics method. The simulation results show that the data are in good agreement with the measured results. [ABSTRACT FROM AUTHOR]

In this article, the system model of the terminal control area is built considering the constraints between different departure routes. The balance for the departure routes in the terminal control area is achieved and the optimal control inputs for the departure flights are also acquired. In particular, the dioid algebra is employed to describe all kinds of concurrent events in the terminal control area and define the interactions between different flight trajectories. In this way, the new optimization model and solution procedure is introduced in order to improve the operation effect of air traffic flow. Finally, different scenarios such as deterministic and stochastic cases are given to demonstrate the performance of the system model. The essence of the system model is allocating optimal time slots to flights coming from different airports. [ABSTRACT FROM AUTHOR]

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. [ABSTRACT FROM AUTHOR]