IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v9y2021i17p2171-d629566.html
   My bibliography  Save this article

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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Andrey Kositzyn & Denis Serdechnyy & Sergey Korchagin & Ekaterina Pleshakova & Petr Nikitin & Natalia Kurileva, 2021. "Mathematical Modeling, Analysis and Evaluation of the Complexity of Flight Paths of Groups of Unmanned Aerial Vehicles in Aviation and Transport Systems," Mathematics, MDPI, vol. 9(17), pages 1-13, September.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:17:p:2171-:d:629566
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/9/17/2171/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/9/17/2171/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Darya Pyatkina & Tamara Shcherbina & Vadim Samusenkov & Irina Razinkina & Mariusz Sroka, 2021. "Modeling and Management of Power Supply Enterprises’ Cash Flows," Energies, MDPI, vol. 14(4), pages 1-17, February.
    2. Gonçalves, P. & Sobral, J. & Ferreira, L.A., 2017. "Unmanned aerial vehicle safety assessment modelling through petri Nets," Reliability Engineering and System Safety, Elsevier, vol. 167(C), pages 383-393.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Bolbot, Victor & Theotokatos, Gerasimos & Bujorianu, Luminita Manuela & Boulougouris, Evangelos & Vassalos, Dracos, 2019. "Vulnerabilities and safety assurance methods in Cyber-Physical Systems: A comprehensive review," Reliability Engineering and System Safety, Elsevier, vol. 182(C), pages 179-193.
    2. Iwona Posadzińska & Małgorzata Grzeszczak, 2022. "Management Accounting System in the Management of an Intelligent Energy Sector Enterprise," Energies, MDPI, vol. 15(20), pages 1-17, October.
    3. Yan, Rundong & Dunnett, Sarah & Andrews, John, 2023. "A Petri net model-based resilience analysis of nuclear power plants under the threat of natural hazards," Reliability Engineering and System Safety, Elsevier, vol. 230(C).
    4. Pang, Bizhao & Hu, Xinting & Dai, Wei & Low, Kin Huat, 2022. "UAV path optimization with an integrated cost assessment model considering third-party risks in metropolitan environments," Reliability Engineering and System Safety, Elsevier, vol. 222(C).
    5. Mian Ye & Jinchen Zhao & Quanli Guan & Xuejun Zhang, 2024. "Research on eVTOL Air Route Network Planning Based on Improved A* Algorithm," Sustainability, MDPI, vol. 16(2), pages 1-30, January.
    6. Sun, Xuting & Hu, Yue & Qin, Yichen & Zhang, Yuan, 2024. "Risk assessment of unmanned aerial vehicle accidents based on data-driven Bayesian networks," Reliability Engineering and System Safety, Elsevier, vol. 248(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:9:y:2021:i:17:p:2171-:d:629566. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.