Mathematical Modeling, Analysis and Evaluation of the Complexity of Flight Paths of Groups of Unmanned Aerial Vehicles in Aviation and Transport Systems

Andrey Kositzyn, Denis Serdechnyy, Sergey Korchagin, Ekaterina Pleshakova, Petr Nikitin and Natalia Kurileva
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Andrey Kositzyn: Russian Academy of Sciences, Profsoyuznaya, 65, 117806 Moscow, Russia
Denis Serdechnyy: Department of Innovation Management, State University of Management, Ryazansky Pr., 99, 109542 Moscow, Russia
Sergey Korchagin: Department of Data Analysis and Machine Learning, Financial University under the Government of the Russian Federation, Shcherbakovskaya, 38, 105187 Moscow, Russia
Ekaterina Pleshakova: Department of Data Analysis and Machine Learning, Financial University under the Government of the Russian Federation, Shcherbakovskaya, 38, 105187 Moscow, Russia
Petr Nikitin: Department of Data Analysis and Machine Learning, Financial University under the Government of the Russian Federation, Shcherbakovskaya, 38, 105187 Moscow, Russia
Natalia Kurileva: Department of General and Professional Education, Mari State University, Lenin Square 1, 424000 Yoshkar-Ola, Russia

Mathematics, 2021, vol. 9, issue 17, 1-13

Abstract: Recently, we have seen the rapidly growing popularity of unmanned aerial vehicles. This is due to some advantages, namely portability, the ability to fly over hard-to-reach areas without human intervention. They are also widely used for commercial purposes, agriculture, delivery, automation in warehouses. The potential of unmanned aerial vehicles is vast and demonstrates promising opportunities. However, when using these devices, the issue of safety is acute. This article presents a developed software application that is used to improve the efficiency of flight research of groups of unmanned aerial vehicles, based on a new method for assessing flight safety by comparing the complexity of specified air routes. A practical approach to modeling and evaluating the search for a safe way is proposed. A suitable method of research is computer and simulation modeling. It is suggested to use the spectrum of dynamic characteristics of the sequence as a formal attribute for analyzing routes. The method is illustrated by an example of comparing air trajectories according to the flight safety criterion. The software application is intended for use in the educational process when training specialists in transport security, robotics, and system analysis.

Keywords: software application; groups of unmanned aerial vehicles; coding; mathematical modeling; flight trajectories; trajectory planning (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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