and Computational Methods

doi: 10.18698/2309-3684-2016-2-6984

On the basis of the theory of continuous Markov processes we developed models of the two unit duel fight. We obtained computing formulas for calculating the basic fight indicators. Moreover, we found that the pre-emptive strike of one of the units participating in the fight has a significant impact on the fight outcome of the units which are similar in forces. The strike has a negligible impact, if one of the units has a significant advantage. The findings of the research show that the use of model with constant effective firing rates can lead to significant errors in the evaluation of its results. Finally, we found that the pre-emptive strike, coupled with a high degree of effective firing rate growth, can sometimes compensate for more than the double initial superiority of the opponent. We show the possibility of using approximations of the effective firing rate of the fighting units by the different functions of the fight time.

[1] Zarubin V.S., Kuvyrkin G.N. Matematicheskoe modelirovanie i chislennye metody — Mathematical Modeling and Computational Methods, 2014, no. 1, pp. 5–17.

[2] Ilyin V.A. Programmnye produkty i sistemy — Programme Products and Systems, 2006, no. 1, pp. 23–27.

[3] Jaiswal N.K. Military Operations Research: Quantitative Decision Making. Boston, Kluwer Academic Publishers, 1997, p. 388.

[4] Bretnor R. Decisive Warfare: A Study in Military Theory. New York, Stackpole Books, 1969, p. 192.

[5] Glushkov I.N. Programmnye produkty i sistemy — Programme Products and Systems, 2010, no.1, pp. 1–9.

[6] Taylor J.G. Force-on-force attrition modeling. Military Application Section of Operations Research Society of America, 1980, p. 320.

[7] Shanahan L., Sen S. Dynamics of Model Battles: Markovian and strategic cases. New York, Physics Department, State University of New York, 2003, pp. 1–43.

[8] Venttsel E.S. Issledovanie operatsii [Operations research]. Moscow, URSS Publ., 2006, 432 p.

[9] Tkachenko P.N. Matematicheskie modeli boevykh deystviy [Mathematical models of hostilities]. Moscow, Sovetskoe radio Publ., 1969, 240 p.

[10] Venttsel E.S. Teoriya veroyatnostey [Probability theory]. Moscow, Vysshaya shkola Publ., 1999, 576 p.

[11] Chuev Yu.V. Issledovanie operatsiy v voennom dele [Operations research in military art]. Moscow, Voenizdat, 1970, 270 p.

[12] Pashkov N.Yu., Strogalev V.P., Chuev V.Yu. Oboronnaya tekhnika — Defense equipment, 2000, no. 9–10, pp. 19–21.

[13] Chuev V.Yu. Vestnik MGTU im. N.E. Baumana. Ser. Estestvennye nauki. Spets. vypusk “Matematicheskoe modelirovanie” — Herald of the Bauman Moscow State Technical University. Series Natural Sciences. Special iss. “Mathematical Modeling”, 2011, pp. 223–232.

[14] Chuev V.Yu., Dubogray I.V. Vestnik MGTU im. N.E. Baumana. Ser. Estestvennye nauki — Herald of the Bauman Moscow State Technical University. Series Natural Sciences, 2015, no. 2, pp. 53–62.

[15] Chuev V.Yu., Dubogray I.V. Vestnik MGTU im. N.E. Baumana. Ser. Mashinostroenie — Herald of the Bauman Moscow State Technical University. Series Mechanical Engineering, 2016, no. 2, pp. 18–24.

[16] Chuev V.Yu., Dubogray I.V. Modeli srednikh dvukhstoronnikh boevykh deystviy: modeli dinamiki srednikh dvukhstoronnikh boevykh deystviy mnogochislennykh gruppirovok [Middle bilateral hostilities models: dynamics models of middle bilateral hostilities of the numerous groups]. LAP Lambert Academic Publ., 2014, 80 p.

[17] Chuev V.Yu., Dubogray I.V. Matematicheskoe modelirovanie i chislennye metody — Mathematical Modeling and Computational Methods, 2016, no. 1 (9), pp. 89–104.

Chuev V., Dubogray I. Stochastic models of the two unit duel fight. Маthematical Modeling and Coтputational Methods, 2016, №2 (10), pp. 69-84

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