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JOURNALS // Matematicheskoe Modelirovanie i Chislennye Metody // Archive

Mat. Mod. Chisl. Met., 2017 Issue 13, Pages 91–101 (Mi mmcm94)

“Mixed” probabilistic models of bilateral military operations of numerous groups

V. U. Chuev, I. V. Dubogray, L. N. Dyakova

Bauman Moscow State Technical University

Abstract: The purpose of this work was to develop "mixed" probabilistic models of bilateral military operations according to the theory of continuous Markov processes. In our research we obtained calculation formulas for estimating the main combat indices of groups small in number. Moreover, we developed a numerical algorithm to calculate the main combat indices of numerous groupings and made a comparison with the results of combat simulation using a deterministic model of two-way combat operations, the model being developed according to themean-value method dynamics. Findings of the research show that the correlation of the forces of the opposing sides, rather than their initial numbers, affects the errors in the mean-value method dynamics.

Keywords: continuous Markov process, models of bilateral military operations, combat units, effective rate of fire, force ratio parameter.

UDC: 519.8

DOI: 10.18698/2309-3684-2017-1-91101



© Steklov Math. Inst. of RAS, 2024