METHOD OF DETERMINING THE OPTIMAL CONTRIBUTIONS OF SERVICES (BRANCHES) OF TROOPS IN THE SUCCESSFUL SOLUTION OF COMBAT MISSIONS WITH THE ESTABLISHED AMOUNT OF PREVENTED DAMAGE PROVIDED MAXIMUM DAMAGE TO THE ENEMY
Authors: Khomchak R. 
Published: August 2022

The article presents a method of determining the optimal contributions of services (branches) of troops in the successful solution of combat missions with the established amount of prevented damage provided maximum damage to the enemy created by groups of troops, and taking into account the funds allocated for their formation.
The proposed development in the article is caused by the need to reasonably determine the optimal contributions of services (branches) of troops in the successful solution of combat missions with the established amount of prevented damage provided maximum damage to the enemy created by groups of troops, and taking into account the funds allocated for their formation.
The analysis of scientific publications, research works, as well as other developments of scientists in the direction of substantiation of the Armed Forces showed in the article that many scientific works are devoted to this issue. At the same time, the vast majority of them contain the theoretical basis for determining the staff of the Armed Forces, given the possible challenges that may arise before them. To substantiate the optimal contributions of services (branches) of troops in the successful solution of their combat missions with a set amount of abstract damage at maximum damage to the enemy remains outside these studies.
It should be noted that in the problem is partially covered, but only superficially, in terms of disclosing the physical meaning of the concept and theory of abstract damage to troops during their application.
The article is a logical continuation of a number of studies devoted to the development of theoretical foundations for substantiation and determination of contributions of services (branches) of troops to the required level of combat capability of the Armed Forces of Ukraine in their application (reflection of armed aggression).
The method is based on the optimization problem of contributions distribution of services of the Armed Forces or military branches of troops in the general contribution of all our troops in destruction of all means of the enemy for achieving the necessary level of combat capability    вим of the Armed Forces of Ukraine.
Limiting of the optimization task is: the funds for the purchase and maintenance of all weapons of our troops should exceed the funds allocated for this purpose Согр; current quantity Nпр of the active weapons of all enemy types during combat actions, taking into account these weapon destruction with probability Р пр due to the influence on them by the enemy troops, should not exceed the quantity Nо пр - ∆Nпрвим of these weapons, which are capable of inflicting on our troops the average daily allowable losses no more than п; required quantity Nо огр of weapons of all types of troops in the calculated units of combat potential before the operation must ensure the level of combat capability of this troops not less than  вим in the condition of the average daily during the Т combat actions of relative losses п, taking into account the need to achieve the appropriate absolute value of the prevented damage .
Prospects for further research are related to the development of recommendations for determining the optimal contributions of services (branches) of troops in the successful solution of combat missions with the established amount of prevented damage provided maximum damage to the enemy by groups of troops, and taking into account the funds allocated for their formation.
Keywords: capacity of troops, contributions of services (branches) of troops in capacity, method of determining contributions of services (branches), staff of task forces.