Model for Assessing Potential Capabilities of Surface-to-Air Missile Forces Group to Repel Air Attacks
DOI:
https://doi.org/10.3849/aimt.01957Keywords:
battle model, Markov processes, theorem, surface-to-air missile systemsAbstract
To construct the model, a theorem on specific properties of Markov graphs is proven. Based on this, an analytical representation of the model described in the title is derived within the framework of continuous-time, discrete-state Markov processes. The model accounts for the structure of surface-to-air missile systems (SAMS) in ground-based group battle formations, as well as the formations of means of air attack (MAA) in the air. Its validity is confirmed by showing that the analytical model can be reduced to known and previously verified models. The results demonstrate that relying on traditional models can overestimate the effectiveness of SAMS groupings by up to three times, potentially leading to incorrect conclusions about their capability to accomplish combat missions.
References
GORODNOV, V.P. and V. OVCHARENKO. Inner Law and Models for Forecasting the Results of Air Defense Battle. Advances in Military Technology, 2022, 17(2), pp. 246-261. https://doi.org/10.3849/aimt.01564.
ZHAO, Z.Q., J.X. HAO and L.J. LI. Study on Combat Effectiveness of Air Defense Missile Weapon System Based on Queuing Theory. In: 7th International Conference on Electronics and Information Engineering. Nanjing: SPIE, 2017. https://doi.org/10.1117/12.2266077.
RAO, D.V. and M. RAVISHANKAR. A Methodology for Optimal Deployment and Effectiveness Evaluation of Air Defense Resources Using Game Theory. Sadhana, 2020, 45, pp. 1-15. https://doi.org/10.1007/s12046-020-1293-8.
DING, J., Q. ZHAO, J. LI and J. XU. Temporal Constraint Modeling and Conflict Resolving Based on the Combat Process of Air and Missile Defense System. In: IEEE International Conference on Systems, Man and Cybernetics (SMC). Bari: IEEE, 2019, pp. 2684-2689. https://doi.org/10.1109/SMC.2019.8914484.
GAO, X., C. LU, J. TANG, L. FAN, Y. LING and Y. LI. An Evaluation Method of Object-Oriented Petri Net on Combat Effectiveness of Air Defense and Antimissile. In: 8th IEEE International Conference on Communication Software and Networks (ICCSN). Beijing: IEEE, 2016, pp. 590-596. https://doi.org/10.1109/ICCSN.2016.7586592.
ZHONG, Z. and L. ZHANG. The Combat Application of Queuing Theory Model in Formation Ship to Air Missile Air Defense Operations. Journal of Physics: Confer-ence Series, 2020, 1570, 012083. https://doi.org/10.1088/1742-6596/1570/1/012083.
GORODNOV, V. The Analytical Description of Final Probabilities for States of Queuing Systems with Input Flow of Groups of Requirements. Radio Electronics, Computer Science, Control, 2019, 4(51), pp. 25-37. https://doi.org/10.15588/1607-3274-2019-4-3.
GORODNOV, V.P. and V.V. OVCHARENKO. The States' Final Probabilities Ana-lytical Description in an Incompletely Accessible Queuing System with Refusal. Radio Electronics, Computer Science, Control, 2022, 2(61), pp. 32-42. https://doi.org/10.15588/1607-3274-2022-2-4.
ERLANG, A.K. The Theory of Probabilities and Telephone Conversations. Nyt Tidsskrift for Mathematic, 1909, 20, pp. 131-137.
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