This paper aims at finding a solution to the main problem of feed production: increasing the efficiency of the production process while improving the quality of products. The article aims to develop an adequate mathematical model of the technological process of combined feed industrial production. The authors have developed the theoretical background for describing this process on the basis of flow models within the framework of the original “three effects” concept, a stochastic model has been created taking into account the preservation of the exergy balance of the technological system. The main research tool is the apparatus of system analysis and the theory of random processes. An engineering-mathematical calculation of the parameters of the constructed model was performed, verification of the stochastic model of the technological process of preparing compound feeds in laboratory conditions was carried out. As a result of the research, the authors established the possibility of controlling the stochastic feed flow in all subsystems of the production technological system, outlined ways to solve the problem of increasing the efficiency of feed production by reducing energy costs and improving the output product granulometric composition.