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Probabilistic Model of a Duel Combat with the Variable Effective Rate of Fire

Authors: Chuev V.Yu., Dubogray I.V. Published: 12.06.2016
Published in issue: #3(108)/2016  

DOI: 10.18698/0236-3941-2016-3-118-124

 
Category: Mechanics  
Keywords: continuous Markov process, duel combat, combat unit, the effective rate of fire, a preemptive attack

The theory of continuous Markov process enables us to develop a model of duel combat with the exponential dependency of the effective rate of fire of firing units on the time of the combat with one of the involved units launching a preemptive attack. We devise formulae for calculating the key combat indicators and examine the problem of choosing the optimal range for a portable well camouflage anti-tank missile system to open a fire. The findings of our research show that a fire opened by the system at maximum range does not always lead to the best result. Moreover, we illustrate that the developed model of the duel combat may be applied to solve more general military-technical and military-tactical tasks, and to create new models of the armament and military equipment as well.

References

[1] Chuev Yu.V. Issledovanie operatsiy v voennom dele [Research of operations in military affairs]. Moscow, Voenizdat Publ., 1970. 276 p.

[2] Shanahan L. Dynamics of Model Battles. N.Y., Physics Department, State University of New York, 2003. pp. 1-43.

[3] Ilyin V.A. Modeling of the Navy forces fighting. Programmnye produkty i sistemy [Software & Systems], 2006, no. 1, pp. 23-27 (in Russ.).

[4] Tkachenko P.N. Matematicheskie modeli boevykh deystviy [Mathematical models of combat operations]. Moscow, Sov. Radio Publ., 1969. 240 p.

[5] Jaswal N.K. Military Operations Research. Quantitative Decision Making. Kluwer Academie Publishers, 2000. 338 p.

[6] Alekseev O.G., Anisimov V.G., Anisimov E.G. Markovskie modeli boevykh deystviy [Markov models of combat operations]. Moscow, the Ministry of Defence of the USSR Publ., 1985. 85 p.

[7] Wentsel E.S. Teoriya veroyatnostey [Probability theory]. Moscow, Vyssh. shk. Publ., 1999. 576 p.

[8] Wentsel E.S. Issledovanie operatsiy [Research of operations]. Moscow, URSS Publ., 2006. 432 p.

[9] Chuev V.Yu. Probabilistic model of the 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. Issue "Mathematical modeling"], 2011, pp. 223-232 (in Russ.).