Around the world, farmers are increasingly turning to the concept of smart agriculture. The concept of smart agriculture includes the use of innovative digital technologies, mobile applications, sensors and tracking devices, communication channels, data analysis tools, and other intelligent solutions for users. This article discusses the farm of LLC “Rodon”, located in the Rostov region. Due to its low profitability, the aim of the work was to improve the efficiency of farm management using modern trends in agricultural development and digital technologies. The activity of this farm can be represented as a model of multi-criteria optimization with target functions of profit from the sale of crops and increasing the yield of cultivated crops and restrictions on the ratio of areas by cultivated crops, by field areas, the number of purchased seeds, fertilizers, and other expenses. To optimize this model, the following tasks were solved: a plan for crop rotation of cultivated crops for 5 years was drawn up; a software package consisting of user applications “Profit calculation” and “Crop rotation” was developed. The user can quickly and easily determine their optimal strategy for the next year.

The majority of municipal medical institutions are not working effectively enough. Long waiting in the queue to see a doctor is one of the most significant problem of the organization in the field of healthcare. The SADT (Structured Analysis and Design Technique) methodology was used to find out the problems of functioning of the medical center. Functional diagrams of the subject area were constructed, which helped to understand how individual business processes of the organization that need to be optimized are implemented. A simulation model of the medical center "Detstvo+" in the GPSS World programming language has been developed. it is an open Queuing network consisting of 5 large nodes that are Queuing systems, which allows us to imagine the process of functioning of the medical center. The model was optimized according to the efficiency criterion of this system: while maintaining the volume of the incoming flow of applications, the number of rejections is kept to a minimum, while it is necessary to reduce the length of queues for doctor appointments. This model can also be used by institutions with a similar organizational structure to improve their systems and make management decisions.

Both the theory of functions of a complex variable, and the approximation theory, are finding more and more applications in modern engineering sciences. In the present report we consider the spaces of analytic functions inside the unit circle satisfying on the boundary a strong Hölder condition for a rather wide class of the modulus of continuity. An analog of Smirnov's classical theorem relating to Hardy spaces has been obtained. The result is generalized to spaces of functions that are inductive limits of the spaces stated above.

Both the functions theory of a complex variable and the approximation theory are often used in modern engineering sciences. In the present work, the spaces of analytic functions inside the unit circle satisfying on the boundary a strong Holder condition for a rather wide class of the modulus of continuity are considered. The convergence question of functions from these spaces to their boundary values in the topology of the inductive limit is studied.