IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i19p3448-d922057.html
   My bibliography  Save this article

A Combinatorial Model for Determining Information Loss in Organizational and Technical Systems

Author

Listed:
  • Alexey V. Yakovlev

    (Department of Information Systems and Information Protection, Tambov State Technical University, ul. Sovetskaya 116, 392000 Tambov, Russia)

  • Vladimir V. Alekseev

    (Department of Information Systems and Information Protection, Tambov State Technical University, ul. Sovetskaya 116, 392000 Tambov, Russia)

  • Maria V. Volchikhina

    (Department of Information Systems and Information Protection, Tambov State Technical University, ul. Sovetskaya 116, 392000 Tambov, Russia)

  • Sergey V. Petrenko

    (EDB LEMZ of Public Joint Stock Company “Scientific and Production Association Named after Academician A. A. Raspletin”, Territorially Separate Division (TOD) “LEMZ”, 127411 Moscow, Russia)

Abstract

A combinatorial model is proposed for determining the probability and information losses in an organizational and technical system (OTS) under destructive external influences. Mathematical expressions are obtained to determine the loss of information in the clusters of the control system. It is shown that the use of this model for a quantitative analysis of the probability of occurrence of events and information losses in the control system, under varying external influences on the dynamic OTS, makes it possible to carry out a quantitative analysis and synthesis of the structure of the control system that is resistant to destructive external influences. A decomposition of the probabilities of occurrence of events and the corresponding loss of information by the levels of the hierarchy of the analyzed air traffic control system is presented. The achieved result is due to the sensitivity of the model for determining information losses relative to changes in the structure of the system and destructive external influences, as well as the use of the mathematical apparatus in combinatorial analyses.

Suggested Citation

  • Alexey V. Yakovlev & Vladimir V. Alekseev & Maria V. Volchikhina & Sergey V. Petrenko, 2022. "A Combinatorial Model for Determining Information Loss in Organizational and Technical Systems," Mathematics, MDPI, vol. 10(19), pages 1-12, September.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:19:p:3448-:d:922057
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/19/3448/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/19/3448/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Tian Chen & Shiyao Li & Chun-Ming Yang & Wenting Deng, 2022. "Developing an Enterprise Diagnostic Index System Based on Interval-Valued Hesitant Fuzzy Clustering," Mathematics, MDPI, vol. 10(14), pages 1-22, July.
    2. Tzong-Ru Tsai & Yuhlong Lio & Hua Xin & Hoang Pham, 2021. "Parameter Estimation for Composite Dynamical Systems Based on Sequential Order Statistics from Burr Type XII Mixture Distribution," Mathematics, MDPI, vol. 9(8), pages 1-17, April.
    3. Bruno Dogančić & Marko Jokić & Neven Alujević & Hinko Wolf, 2022. "Structure Preserving Uncertainty Modelling and Robustness Analysis for Spatially Distributed Dissipative Dynamical Systems," Mathematics, MDPI, vol. 10(12), pages 1-31, June.
    4. Hector Gibson Kinmanhon Houankpo & Dmitry Kozyrev, 2021. "Mathematical and Simulation Model for Reliability Analysis of a Heterogeneous Redundant Data Transmission System," Mathematics, MDPI, vol. 9(22), pages 1-16, November.
    5. Yelai Feng & Huaixi Wang & Chao Chang & Hongyi Lu, 2022. "Intrinsic Correlation with Betweenness Centrality and Distribution of Shortest Paths," Mathematics, MDPI, vol. 10(14), pages 1-18, July.
    6. Juliana Castaneda & Xabier A. Martin & Majsa Ammouriova & Javier Panadero & Angel A. Juan, 2022. "A Fuzzy Simheuristic for the Permutation Flow Shop Problem under Stochastic and Fuzzy Uncertainty," Mathematics, MDPI, vol. 10(10), pages 1-17, May.
    7. Vito Barbarani, 2021. "Combinatorial Models of the Distribution of Prime Numbers," Mathematics, MDPI, vol. 9(11), pages 1-50, May.
    8. Bin Liu & Yiqiang Q. Zhao, 2022. "Tail Asymptotics for a Retrial Queue with Bernoulli Schedule," Mathematics, MDPI, vol. 10(15), pages 1-13, August.
    9. Man-Wen Tian & Shu-Rong Yan & Jinping Liu & Khalid A. Alattas & Ardashir Mohammadzadeh & Mai The Vu, 2022. "A New Type-3 Fuzzy Logic Approach for Chaotic Systems: Robust Learning Algorithm," Mathematics, MDPI, vol. 10(15), pages 1-20, July.
    10. Ke Chen & Xian Zhao & Qingan Qiu, 2022. "Optimal Task Abort and Maintenance Policies Considering Time Redundancy," Mathematics, MDPI, vol. 10(9), pages 1-16, April.
    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. Zhao, Xian & Wang, Xinlei & Dai, Ying & Qiu, Qingan, 2024. "Joint optimization of loading, mission abort and rescue site selection policies for UAV," Reliability Engineering and System Safety, Elsevier, vol. 244(C).
    2. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2023. "Optimal aborting policy for shock exposed missions with random rescue time," Reliability Engineering and System Safety, Elsevier, vol. 233(C).
    3. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2022. "Using kamikaze components in multi-attempt missions with abort option," Reliability Engineering and System Safety, Elsevier, vol. 227(C).
    4. Mingjuan Sun & Qinglai Dong & Zihan Gao, 2022. "An Imperfect Repair Model with Delayed Repair under Replacement and Repair Thresholds," Mathematics, MDPI, vol. 10(13), pages 1-15, June.
    5. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2023. "Optimal task sequencing and aborting in multi-attempt multi-task missions with a limited number of attempts," Reliability Engineering and System Safety, Elsevier, vol. 236(C).
    6. Cheng, Guoqing & Shen, Jiayi & Wang, Fang & Li, Ling & Yang, Nan, 2024. "Optimal mission abort policy for a multi-component system with failure interaction," Reliability Engineering and System Safety, Elsevier, vol. 242(C).
    7. Jun Wang & Yuyang Wang & Yuqiang Fu, 2023. "Joint Optimization of Condition-Based Maintenance and Performance Control for Linear Multi-State Consecutively Connected Systems," Mathematics, MDPI, vol. 11(12), pages 1-19, June.
    8. Dorin Bordeașu & Octavian Proștean & Ioan Filip & Florin Drăgan & Cristian Vașar, 2022. "Modelling, Simulation and Controlling of a Multi-Pump System with Water Storage Powered by a Fluctuating and Intermittent Power Source," Mathematics, MDPI, vol. 10(21), pages 1-24, October.
    9. Nika Ivanova, 2023. "On Importance of Sensitivity Analysis on an Example of a k -out-of- n System," Mathematics, MDPI, vol. 11(5), pages 1-18, February.
    10. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2024. "Optimal task aborting and sequencing in time constrained multi-task multi-attempt missions," Reliability Engineering and System Safety, Elsevier, vol. 241(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:10:y:2022:i:19:p:3448-:d:922057. 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.