519.8 Probabilistic model of the battle of two similar combat units against two different types

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


doi: 10.18698/2309-3684-2020-2-107116

On the basis of the theory of continuous Markov processes, a model of the battle of two of the same type of combat units of the side against two of different types has been developed. The areas of application of various tactics of fighting by the side are shown. It is established that the use of the correct tactics of combat by a party can significantly increase the probability of preserving its two combat units. The developed battle model can be used to evaluate the combat effectiveness of multi-purpose weapons systems.

[1] 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.
[2] 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.
[3] Venttsel E.S. Issledovanie operatsiy: zadachi, printsipy, metodologiya [Operations research: objectives, principles, methodology]. Moscow, URSS Publ., 2007, 208 p.
[4] Chuev Yu.V. Issledovanie operatsiy v voennom dele [Operations research in military arts]. Moscow, Voenizdat Publ., 1970, 270 p.
[5] Jaiswal N.K. Military Operations Research: Quantitative Decision Making. Boston, Kluwer Academic Publishers, 1997, 388 p.
[6] Shamahan L. Dynamics of Model Battles. New York, Physics Department, State University of New York, 2005, 43 p.
[7] Glushkov I.N. Vybor matematicheskoj skhemy pri postroenii modeli boe-vyh dejstvij [The choice of a mathematical scheme when constructing a model of combat operations]. Software & Systems, 2010, no. 1, pp. 1-9.
[8] Tkachenko P.N. Matematicheskie modeli boevykh deistviy [Mathematical
models of combat operations]. Moscow, Sovetskoe radio, 1969, 240 p.
[9] Hillier F.S., Lieberman G.J. Introduction to Operations Research. New York, McGraw-Hill, 2005, 998 p.
[10] 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.
[11] Chuev V.Yu., Dubograi I.V. Stochastic models of the two-unit duel fight. Mathematical modelling and Computational Methods, 2016, no. 2, pp. 69–84.
[12] Chuev V.Yu., Dubograi I.V. Models of bilateral warfare of numerous groups. Mathematical modelling and Computational Methods, 2016, no. 1, pp. 89–104.
[13] Venttsel E.S. Teoriya veroyatnostey [Probability theory]. Moscow, KnoRus Publ., 2016, 658 p.
[14] 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.
[15] 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.

Чуев В.Ю., Дубограй И.В., Анисова Т.Л. Вероятностная модель боя двух однотипных боевых единиц против двух разнотипных. Математическое моделирование и численные методы. 2020. № 2. с. 107–116.

Download article

Количество скачиваний: 372