Devising a method for determining the length of a series of artillery fire based on probability-analytical modeling and fuzzy multi-criterion evaluation

Authors

DOI:

https://doi.org/10.15587/1729-4061.2026.361486

Keywords:

artillery firing, firing series, probabilistic-analytical modeling, fuzzy logic, multi-criteria evaluation

Abstract

This study investigates artillery fire control processes under conditions of uncertain disturbances when using the "shoot-and-scoot" tactic. The task addressed is to increase the efficiency of artillery fire and reduce the time for performing fire tasks by optimally choosing the number of shots in a series.

To assess the efficiency of firing, the time for performing tasks, and the risk of hitting an artillery installation for different values of the length of the firing series, probabilistic-analytical modeling methods have been used. To select the best solution according to a set of contradictory criteria, a fuzzy logic apparatus was applied, which makes it possible to formalize the decision-making process under conditions of uncertainty.

A method for determining the rational length of firing series has been devised, which involves the formation of a generalized criterion, the search for a set of local maxima, and their further evaluation using a fuzzy model. The proposed approach makes it possible to take into account the influence of random disturbances, in particular, a possible sudden increase in barrel wear during firing series.

The results of computational experiments have confirmed the effectiveness of the proposed method. It was found that the firing efficiency increased by 11.6–20.8% compared to the fixed-length firing series approach, as well as the reduction in the time to complete firing tasks by up to 31.6%. In addition, in most cases, a decrease in the total time spent by installations at firing positions was observed, which indicates a decrease in the risk of damage by counter-battery means.

The devised method could be applied in control systems for modern artillery installations to increase the effectiveness of their combat use under conditions of uncertainty

Author Biographies

Maksym Maksymov, Odesа Polytechnic National University

Doctor of Technical Sciences, Professor

Department of Computer Technologies of Automation

Oleksiy Kozlov, Petro Mohyla Black Sea National University

Doctor of Technical Sciences, Professor

Department of Intelligent Information Systems

Oleksiy Maksymov, Institute of Naval Forces of the National University «Odesa Maritime Academy»

Doctor of Philosophy (PhD), Associate Professor

Department of Radio Engineering Armament, Communications and Robotics

Ruslan Riaboshapka, Odesа Polytechnic National University

Department of Computer Technologies of Automation

References

  1. Chávez, K., Swed, O. (2023). Emulating underdogs: Tactical drones in the Russia-Ukraine war. Contemporary Security Policy, 44 (4), 592–605. https://doi.org/10.1080/13523260.2023.2257964
  2. Ganjiyev, S. J., Usmonov, S. R., Karimov, A. Kh. (2023). Use of artillery in modern war: a brief analysis of the Ukrainian conflict. Galaxy International Interdisciplinary Research Journal, 11 (3), 118–121. Available at: https://internationaljournals.co.in/index.php/giirj/article/view/3646
  3. Oprean, L.-G. (2020). Artillery from the Perspective of Firing Effects and Ensured Capabilities. Scientific Bulletin, 25 (2), 107–113. https://doi.org/10.2478/bsaft-2020-0015
  4. Zha, Q., Rui, X., Liu, F., Yu, H. (2017). Study On the Dynamic Modeling and the Correction Method of the Self-Propelled Artillery. Proceedings of the 2017 7th International Conference on Mechatronics, Computer and Education Informationization (MCEI 2017). Atlantis Press, 385–393. https://doi.org/10.2991/mcei-17.2017.84
  5. Kislitsyn, A., Dorofeev, N. (2021). Directions for the development of domestic self-propelled artillery systems based on the analysis of samples of artillery weapons from the leading countries of the world. Social Development and Security, 11 (6), 98–107. https://doi.org/10.33445/sds.2021.11.6.7
  6. Xiao, H., Yang, G., Ge, J. (2017). Surrogate-based multi-objective optimization of firing accuracy and firing stability for a towed artillery. Journal of Vibroengineering, 19 (1), 290–301. https://doi.org/10.21595/jve.2016.17108
  7. Wang, X., Li, X., Sun, Q., Xia, C., Chen, Y.-H. (2025). Improved Manta Ray Foraging Optimization for PID Control Parameter Tuning in Artillery Stabilization Systems. Biomimetics, 10 (5), 266. https://doi.org/10.3390/biomimetics10050266
  8. Zhuravlev, А, Orlov, S., Shuliakov, S. (2020). Mathematical model of the flight path of a projectile of a long-range artillery system. Systems of Arms and Military Equipment, 3 (63), 62–68. https://doi.org/10.30748/soivt.2020.63.09
  9. Khalil, M. (2022). Study on modeling and production inaccuracies for artillery firing. Archive of Mechanical Engineering, 69 (1), 165–183. https://doi.org/10.24425/ame.2021.139802
  10. STANAG 4355 The Lieske modified point mass and five degrees of freedom trajectory models -AOP-4355 EDITION A. (No enabled versions). (2022) Washington: United States Department of Defense. Available at: https://publishers.standardstech.com/content/military-dod-stanag-4355 Last accessed: 14.11.2023
  11. Bartulović, V., Trzun, Z., Hoić, M. (2023). Use of Unmanned Aerial Vehicles in Support of Artillery Operations, Strategos, 7 (1), 71–92. Available at: https://hrcak.srce.hr/305562
  12. Oprean, L.-G. (2023). Artillery and Drone Action Issues in the War in Ukraine. Scientific Bulletin, 28 (1), 73–78. https://doi.org/10.2478/bsaft-2023-0008
  13. Khudov, H., Yuzova, I., Lisohorskyi, B., Solomonenko, Y., Mykus, S., Irkha, A. et al. (2021). Development of methods for determining the coordinates of firing positions of roving mortars by a network of counter-battery radars, EUREKA: Physics and Engineering, 3, 140-150. https://doi.org/10.21303/2461-4262.2021.001821
  14. Świętochowski, N. (2023). Field Artillery in the defensive war of Ukraine 2022–2023. Part I. Combat potential, tasks and tactics. Scientific Journal of the Military University of Land Forces, 210 (4), 341–358. https://doi.org/10.5604/01.3001.0054.1631
  15. Świętochowski, N. (2024). Field Artillery in the defensive war of Ukraine 2022-2023. Part II. Methods of task implementation. Scientific Journal of the Military University of Land Forces, 211 (1), 57–76. https://doi.org/10.5604/01.3001.0054.4136
  16. Shen, C., Zhou, K.-D., Lu, Y., Li, J.-S. (2019). Modeling and simulation of bullet-barrel interaction process for the damaged gun barrel. Defence Technology, 15(6), 972–986. https://doi.org/10.1016/j.dt.2019.07.009
  17. Shim, Y., Atkinson, M. P. (2018). Analysis of artillery shoot‐and‐scoot tactics. Naval Research Logistics (NRL), 65 (3), 242–274. https://doi.org/10.1002/nav.21803
  18. Damgaard, T. J., Rittri, M. (2025). Optimizing Firing Position Usage for Survivability and Effectiveness in Artillery Shoot-and-Scoot Tactics. SAE Technical Paper Series, 1. https://doi.org/10.4271/2025-01-0431
  19. Dobrynin, Y., Maksymov, M., Boltenkov, V. (2020). Development of a method for determining the wear of artillery barrels by acoustic fields of shots. Eastern-European Journal of Enterprise Technologies, 3 (5 (105)), 6–18. https://doi.org/10.15587/1729-4061.2020.206114
  20. Choi, Y. B., Yun, H. Y., Kim, J. y., Jin, S. H., Kim, K. S. (2019). Robust Optimization Approach Using Scenario Concepts for Artillery Firing Scheduling Under Uncertainty. Applied Sciences, 9 (14), 2811. https://doi.org/10.3390/app9142811
  21. Sun, Y., Zhang, S., Lu, G., Zhao, J., Tian, J., Xue, J. (2022). Research on a Simulation Algorithm for Artillery Firepower Assignment According to Region. 2022 3rd International Conference on Computer Science and Management Technology (ICCSMT). Shanghai, 353–356. https://doi.org/10.1109/iccsmt58129.2022.00082
  22. Grishyn, M., Maksymova, O., Kirkopulo, K., Klymchuk, O. (2025). Development of methods of artillery control for suppression of an enemy amphibious operation in video game simulations. Technology Audit and Production Reserves, 1 (2 (81)), 26–33. https://doi.org/10.15587/2706-5448.2025.321797
  23. Raskin, L., Sira, O. (2020). Development of methods for extension of the conceptual and analytical framework of the fuzzy set theory. Eastern-European Journal of Enterprise Technologies, 6 (4 (108)), 14–21. https://doi.org/10.15587/1729-4061.2020.217630
  24. Congxiang, L., Kozlov, O., Kondratenko, G., Aleksieieva, A.; Kondratenko, Y. P., Shevchenko, A. I. (Eds.) (2024). Decision Support System for Maintenance Planning of Vortex Electrostatic Precipitators Based on IoT and AI Techniques. Research Tendencies and Prospect Domains for AI Development and Implementation. New York: River Publishers, 87–105. https://doi.org/10.1201/9788770046947-5
  25. Skakodub, O., Kozlov, O., Kondratenko, Y. (2021). Optimization of Linguistic Terms’ Shapes and Parameters: Fuzzy Control System of a Quadrotor Drone. 2021 11th IEEE International Conference on Intelligent Data Acquisition and Advanced Computing Systems: Technology and Applications (IDAACS), 566–571. https://doi.org/10.1109/idaacs53288.2021.9660926
  26. Kozlov, O. (2021). Information Technology for Designing Rule bases of Fuzzy Systems using Ant Colony Optimization. International Journal of Computing, 20 (4), 471–486. https://doi.org/10.47839/ijc.20.4.2434
  27. Kozlov, O., Kondratenko, G., Aleksieieva, A., Maksymov, M., Tarakhtij, O. (2024). Swarm optimization of the drone’s intelligent control system: comparative analysis of hybrid techniques, CEUR Workshop Proceedings, 3790. Available at: https://ceur-ws.org/Vol-3790/paper01.pdf
  28. Kumar, D., Kalra, S., Jha, M. S. (2022). A concise review on degradation of gun barrels and its health monitoring techniques. Engineering Failure Analysis, 142, 106791. https://doi.org/10.1016/j.engfailanal.2022.106791
  29. Litsman, A., Nesterov, D. (2020). Definitions degree of influence of individual factors on mechanical equipment failure rate during artillery operation. Collection of Scientific Works of the National Academy of the State Border Guard Service of Ukraine. Series: Military and Technical Sciences, 80 (2), 283–299. https://doi.org/10.32453/3.v80i2.204
  30. Boltenkov, V., Brunetkin, O., Dobrynin, Y., Maksymova, O., Kuzmenko, V., Gultsov, P. et al. (2021). Devising a method for improving the efficiency of artillery shooting based on the Markov model. Eastern-European Journal of Enterprise Technologies, 6 (3 (114)), 6–17. https://doi.org/10.15587/1729-4061.2021.245854
  31. Zheng, Y., Wang, J., Kozlov, O., Kondratenko, G., Aleksieieva, A.; Shevchenko, A. I., Kondratenko, Y. P. (Eds.) (2026). Optimization-oriented Synthesis of Rule Bases of Intelligent Systems: Application Features for Complex Plants’ Control. Artificial Intelligence: Achievements and Recent Developments. River Publishers, 83–111. https://doi.org/10.1201/9788743800989-4
  32. Rakityanska, G. B. (2015). Fuzzy classification knowledge base construction based on trend rules and inverse inference. Eastern-European Journal of Enterprise Technologies, 1 (3 (73)), 25–32. https://doi.org/10.15587/1729-4061.2015.36934
  33. Pujaru, K., Adak, S., Kar, T. K., Patra, S., Jana, S. (2024). A Mamdani fuzzy inference system with trapezoidal membership functions for investigating fishery production. Decision Analytics Journal, 11, 100481. https://doi.org/10.1016/j.dajour.2024.100481
  34. Chaudhari, T. U., Patel, V. B., Thakkar, R. G., Singh, C. (2023). Comparative analysis of Mamdani, Larsen and Tsukamoto methods of fuzzy inference system for students’ academic performance evaluation. International Journal of Science and Research Archive, 9 (1), 517–523. https://doi.org/10.30574/ijsra.2023.9.1.0443
  35. Maksymov, M., Kozlov, O., Shynder, A., Maksymova, O., Aleksieieva, A. (2025). Development of mathematical models for temperature control objects in thermal destruction systems based on transient process identification. EUREKA: Physics and Engineering, 3, 207–220. https://doi.org/10.21303/2461-4262.2025.003802
  36. Kondratenko, Y., Kozlov, O., Zheng, Y., Wang, J., Kuzmenko, V., Aleksieieva, A. (2024). Bio-inspired optimization of fuzzy control system for inspection robotic platform: comparative analysis of hybrid swarm methods. CEUR Workshop Proceedings, 3711. Available at: https://ceur-ws.org/Vol-3711/paper7.pdf
  37. Kozlov, O., Kondratenko, G., Aleksieieva, A. Maksymov, M. (2025). Complex Structural-Parametric Optimization of Fuzzy Control Systems Based on Bioinspired Algorithms, CEUR Workshop Proceedings, 4048. Available at: https://ceur-ws.org/Vol-4048/paper01.pdf
Devising a method for determining the length of a series of artillery fire based on probability-analytical modeling and fuzzy multi-criterion evaluation

Downloads

Published

2026-06-30

How to Cite

Maksymov, M., Kozlov, O., Maksymov, O., & Riaboshapka, R. (2026). Devising a method for determining the length of a series of artillery fire based on probability-analytical modeling and fuzzy multi-criterion evaluation. Eastern-European Journal of Enterprise Technologies, 3(3 (141), 97–110. https://doi.org/10.15587/1729-4061.2026.361486

Issue

Section

Control processes