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Introduction. In the modern military sphere, the assessment of the combat capabilities of troops and units is not based solely on a comparison of quantitative indicators. Experience from conflicts demonstrates that quality multipliers and non-linear resource depletion are the dominant factors determining the outcome of combat. The mathematical basis for the dynamics of mutual engagement and attrition between units relies on the quadratic and linear laws proposed by F.W. Lanchester. In this model, the fluctuation of forces on both sides is expressed through a system of deterministic differential equations. Materials and Methods. The classical theory for the quantitative analysis of military operations is the system of differential equations proposed by F.W. Lanchester. This model describes the dynamics of combat power losses for two opposing sides over time. Results. Under current conditions, a defensive posture is advantageous for the platoon in both types of terrain. Launching an offensive requires a superiority ratio of between 1.5 and 3.0. This can be achieved by increasing the number of reconnaissance UAVs, deploying additional strike drones, intensifying artillery fire, and enhancing electronic warfare capabilities or communications. Conclusions. In modern military operations, accelerating the decision-making process and increasing combat effectiveness is of great importance. In this regard, artificial intelligence technologies act as a promising tool for assessing the combat capabilities of platoons. Artificial intelligence can analyze the level of training of personnel, the state of technical means, terrain features and the activities of the opposing side by processing information obtained from various sources.
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Gasanov et al. (2026) studied this question.
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