Stochastic Model of Both-Sided Battle Actions During the Pre-Emptive Attack by One of Warring Parties
Authors: Chuev V.Yu., Dubogray I.V. | Published: 15.04.2015 |
Published in issue: #2(59)/2015 | |
DOI: 10.18698/1812-3368-2015-2-53-62 | |
Category: Mathematics and Mechanics | Chapter: Probability Theory and Mathematical Statistics | |
Keywords: stochastic model of both-sided battle actions, effective rapidity of fire, continuous markov process, balance of forces parameter |
The stochastic models of both-sided battle actions for various initial numerosity of opposing groupings have developed on the basis of continuous markov processes. The influence of pre-emptive attack of one of the opposing force on the battle outcome and its main indicators have investigated. Calculation formulas for counting main indicators of battle were obtained. The results of calculations showed that this influence is essentially in battle of groupings similar in forces are given. Preventive strike by one of the opposing forces can reduce its losses by 30% and increase the enemy’s casualties up to 30 %. It has been shown that this effect is negligible at large (3-fold or more) initial superiority by one of the parties. An increase in the influence of the pre-emptive attack on the battle outcome and its main indicators is noted with an increase the initial numerosity of opposing groupings.
References
[1] Tkachenko P.N. Matematicheskie modeli boevykh deystviy [Mathematical models of battle actions]. Moscow, Sov. Radio Publ., 1969. 240 p.
[2] Il’in V.A. Modeling of naval combat operations. Prog. prod. i sist. [Software and Systems], 2006, no. 1, pp. 23-27 (in Russ.).
[3] Winston W.L. Operations Research: applications and algorithms. Duxbury Press, 1998, p. 128.
[4] Alekseev O.G., Anisimov V.G., Anisimov E.G. Markovskie modeli boya [Markovian battle model]. Moscow, Ministerstvo oborony SSSR Publ., 1985. 85 p.
[5] Chuev V.Yu. Probability model of a double-sided battle of numerous groups. Vestn. Mosk. Gos. Tekh. Univ. im. N.E. Baumana, Estestv. Nauki., Spetsvyp. "Matematicheskoe modelirovanie" [Herald of the Bauman Moscow State Tech. Univ., Nat. Sci., Spec. Iss. "Mathematic simulation"], 2011, pp. 223-232 (in Russ.).
[6] Venttsel’ E.S. Teoriya veroyatnostey [Probability theory]. Moscow, Vysshaya Shkola Publ., 1999. 576 p.
[7] Jaswal N.K. Military Operations Research. Quantitative Desigion Making. Kluwer Academic Publishers, 1997, p. 388.
[8] Venttsel’ E.S. Issledovanie operatsiy [Operations research]. Moscow, URSS Publ., 2006. 432 p.
[9] Chuev Yu.V. Issledovanie operatsiy v voennom dele [Operations research in military affairs]. Moscow, Voenizdat Publ., 1970. 270 p.
[10] Shanahan L. Dynamics of model battles. New York, Phisics Department, State University of New York, 2003, pp. 1-43.
[11] Dubogray I.V., Dyakova L.N., Chuev V.Yu. Preemptive attack consideration when duel combat operations simulating. Jelektr. nauchno-tehn. izd. "Inzhenernyj zhurnal: nauka i innovacii", MGTU im. N.E. Baumana [El. Sc.-Tech. Publ. "Eng. J.: Science and Innovation" of Bauman MSTU], 2013, no. 7 (19). Available at: http://engjournal.ru/eng/catalog/mathmodel/hidden/842.html (accessed 21.12.2013) (in Russ.).