Assessing Unmanned Traffic Bandwidth

Abstract

The subject of the study in the article is the processes of assessing the airspace in controlling small unmanned aerial vehicles (sUAV) traffic management. The goal is to improve the quality of air traffic control, taking into account the avoidance of conflicts involving three or more sUAV. Problems: to develop a mathematical model of the probabilistic traffic map, as well as to formalize the construction of a random geometric graph model for the estimation of alleged sUAVs conflicts and collisions; To implement algorithms given models construction for airspace automation. The models used: Poisson process whose intensity model is used for building a probabilistic traffic map, random geometric graph model is used for calculate the number of possible conflicts involving the sUAV. The following results are obtained. A formalized model of the sUAV location map has been created taking into account: the given region with the specified population density and the expected number of operations during the specified time interval. This model was used in the construction of a random geometric graph, in which, taking into account the minimum distance possible for the approximation of two sUAVs, an estimation of the probability of conflicts and collisions was conducted. The model is the basis for obtaining an algorithm for estimating the factors limiting the capacity of the airspace, as a result of the occurrence of difficult solvable conflicts. The scientific novelty of the obtained results is as follows: The random geometric graph model is improved by formalizing the position of the vertices. The vertices, taking into account the law of the Poisson process, are placed in the cells of a given region. This allows us to obtain an objective picture of the location of the sUAV in the city’s airspace. Two-dimensional models of probabilistic traffic maps (Dutch model Metropolis, model Cal) have been further developed, due to the formalization of the initial sUAV placement, taking into account the law of the Poisson process. This will help to determine the technical requirements for ensuring uninterrupted operation of small unmanned aerial vehicles in the urban airspace.