Stochastic Model of Both-Sided Battle Actions During the Pre-Emptive Attack by One of Warring Parties

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.

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