Abstract
The object of research is the combat and military operations. The subject is the dynamic models of combat operations and functions of victory in the conflict. The first combat model was developed by M. P. Osipov in 1915 based on the analysis of military battles for the hundred-year period. He was first to formulate the principles of combat operations modelling. In recent decades, the economists also joined the analysis of conflicts (contests and auctions). The goal of this work lies in analysis and unification of the two indicated approaches, and provision military leadership with quantitative grounds for decision-making in preparing to the combat operations. Leaning on the statistical analysis of offensive and defensive strategic operations during the Great Patriotic War (forces and means of the parties by the beginning of operation and its outcome), the author verifies the original expansion of conflict model – the function of victory in combat operations and assesses the parameters of the form of model. The scientific novelty of consists in establishing a close connection and dependence between the two approaches to combat operations modeling: based on dynamics of the averages (classical approach) and modeling with the use of conflict functions (econometric approach). The advanced function of victory in combat operations is easy to use and complies with the provisions of military science and the theory of combat potentials.
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