519.8 Stochastic model of combat operations of the same type of combat units against ones of different types

Chuev V. U. (Bauman Moscow State Technical University), Dubogray I. V. (Bauman Moscow State Technical University)


doi: 10.18698/2309-3684-2021-2-8695

On the basis of the theory of continuous Markov processes, a model of a two–way battle of two similar combat units of side X against two different types of enemy units is developed. Calculation formulas are obtained for calculating the current and final states for various tactics of fighting by the X–side. The developed model of two–way combat can be used to assess the combat effectiveness of multi-purpose weapons systems.

Alexandrov A.A., Dimitrienko Yu.I. Mathematical and computer modeling-the basis of modern engineering sciences. Mathematical modeling and Computational Methods, 2014, no.1, pp.3–4.
Zarubin V.S., Kuvyrkin G.N. Special features of mathematical modeling of technical instruments. Mathematical modeling and Computational Methods, 2014, no.1, pp.5–17.
Venttsel E.S. Issledovanie operatsiy: zadachi, printsipy, metodologiya [Operations research: objectives, principles, methodology]. Moscow, URSS Publ., 2007, 208 p.
Tkachenko P.N. Matematicheskie modeli boevykh deistviy [Mathematical models of combat operations]. Moscow, Sovetskoe radio, 1969, 240 p.
Hillier F.S., Lieberman G.J. Introduction to Operations Research. New York, McGraw-Hill, 2005, 998 p.
Chuev Yu.V. Issledovanie operatsiy v voennom dele [Operations research in military arts]. Moscow, Voenizdat Publ., 1970, 270 p.
Shamahan L. Dynamics of Model Battles. New York, Physics Department, State University of New York, 2005, 43 p.
Taylor J.G. Force-on-force attrition modeling. Military Applications Section of Operations Research Society of America, 1980, 320 p.
Alekseev O.G., Anisimov V.G., Anisimov E.G. Markovskie modeli boya [Markov’s battle models]. Moscow, the USSR Ministry of Defense Publ., 1985, 85 p.
Venttsel E.S. Teoriya veroyatnostey [Probability theory]. Moscow, KnoRus Publ., 2016, 658 p.
Ventzel E.S., Ovcharov V.Y. Teoriya sluchaynykh protsessov i yeyo inzhenernyye prilozheniya [The theory of stochastic processes and its engineering applications]. Moscow, KnoRus Publ., 2015, 448 p.
Chuev V.Yu., Dubograi I.V. Models of bilateral warfare of numerous groups. Mathematical modelling and Computational Methods, 2016, no.1, pp.89–104.
Chuev V.Yu., Dubograi I.V. Stochasticism and determinism in simulation bilateral warfare. Herald of the Bauman Moscow State Technical University. Series Natural Sciences, 2017, no.4, pp.16–28.
Chuev V.Yu., Dubograi I.V., Anisova T.L. Probability model of meeting an attack of different types of weapon. Mathematical modelling and Computational Methods, 2018, no.1, pp.90–97.
Chuev V.Yu., Dubogray I.V. Probabilistic models of bilateral combat operations with linear dependencies of effective rates of fire of combat units of the parties on the time of the battle with a preemptive strike of one of them. Mathematical modeling and Computational Methods, 2019, no.2, pp.84–98.
Chuev V.Yu., Dubogray I.V. Probabilistic model of the battle of two similar combat units against two different types. Mathematical modeling and Computational Methods, 2020, no.2, pp.107–116.

Чуев В.Ю., Дубограй И.В. Стохастическая модель боевых действий однотипных боевых единиц против разнотипных. Математическое моделирование и численные методы, 2021, № 2, с. 86–95.

Download article

Количество скачиваний: 48