Abstract
On the basis of the study of air flight control, as well as the need to take into account the regional parameters of the airspace, the expediency and the need for mathematical modeling of the air navigation environment were identified. The article deals with the features of the model of air navigation environment, in which the base of the study adopted the basic information used to describe the plan for the execution of air flight. In the study, it was found that in navigation main feature is the geodesic of abstraction, however, such information was found, is not complete for the plan for air flight. The study emphasized the role of taking into account all the restrictions by which certain prohibitions on the use of specific volumes of airspace are imposed. Based on the results obtained, a graph of the geometric representation of the airspace with constraints was constructed. The results of the study allow us to conclude that the construction of a mathematical model of the air navigation environment allows us to achieve the following results: optimization of the distribution of the EAP loads by sectors, visualization of the air navigation situation in the region, the establishment of critical load directions, the collection of data on the load, the study of the factor effects on the regularity and safety of the aircraft movement. The mathematical model of the aeronautical situation was built with the help of a composition of hierarchical type. As a result of such construction of mathematical model its transformation with addition of new models is possible. Using the proposed mathematical model in the framework of discrete event systems can be used to simulate complex air navigation environment with a large number of aircraft. The use of the formalism presented in this study allows a clear distinction between the mechanism of information processing and the information itself in the process of modeling.
Highlights
Nowadays there is the current point of efficient use of aeronautical environment elements in the conditions of upgrading the performance of the aircraft due to the impact of crisis situations
After processing the flight plan of the aircraft by the aviation traffic control system, they estimate the disruption impacts. It requires the construction of the mathematical model of the aeronautical environment of the aircraft via the use of the formalism of the event-related discrete system with regard to the further changes [2]
The process of the aeronautical environment change is considered to be constantly ongoing and ram through time, it is needed to use the following variants: 1) no need of modelling the aeronautical environment change in real-time mode; 2) the airspace structure change may affect the modelling object; 3) the change of states of the airspace structure of the stochastic nature; 4) the aerodynamic factors reflect the state of the aircraft model at any moment of time
Summary
Nowadays there is the current point of efficient use of aeronautical environment elements in the conditions of upgrading the performance of the aircraft due to the impact of crisis situations. After processing the flight plan of the aircraft by the aviation traffic control system, they estimate the disruption impacts Before that, it requires the construction of the mathematical model of the aeronautical environment of the aircraft via the use of the formalism of the event-related discrete system with regard to the further changes [2]. Construction of mathematical modes of aeronautical environment in the objective point by taking the problem description into account can be used for obtaining the following results: the optimization of airspace load distribution between the areas; the survey (visualization) of aeronautical environment in the region for its descriptive research; the opportunity of setting the stalling directions in terms of the workload; the analysis and statistical data collection on the highest workload on the areas of the airways and in the separate areas; the opportunity of researching the impact of the different occasional factors on safety and regularity of the air traffic
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