Mathematical modeling of pasture livestock farming process using digital technologies

Abstract

The digitalization of technological processes in agriculture is an important aspect of obtaining high-quality and competitive agricultural products. Currently, there is a need for the development and application of digital solutions based on mathematical modeling to optimize processes and make informed decisions in the field of pasture livestock farming. The application of modern digital and information processes in pasture livestock farming is associated with the development and justification of the functioning of a complex biotechnical system “human (operator) - machine (device) - animal.” In this study, mathematical modeling of the system operation using random Markov processes often used in queuing theory was conducted. A graph model for the studied biotechnical system was proposed as well as a system of differential equations that described its mathematical model. Solving these equations allows to effectively identifying the problem areas of the system operation as a whole and evaluating the reliability of the individual components. This, in turn, makes it easy to eliminate or minimize these problem areas at the stage of designing technical solutions, resulting in high-quality production with minimal manual labor and time costs. The evaluation of the reliability of the “machine” link helps to identify priority technical issues that may be addressed at the stage of design and testing of the technical device. Modeling pasture livestock farming allows predicting animal productivity indices, feed requirements, and evaluating the impact of changes of the environmental conditions on production efficiency.