Mathematical modelling of the dairy production and supply planning processes and the use of artificial intelligence

Abstract

The article is devoted to the study of current trends in the development of the dairy industry with an emphasis on the integration of mathematical modeling and artificial intelligence tools into the processes of production planning and product supply. The paper proposes a mathematical model for planning the production of dairy products, which takes into account the balance between available raw material stocks and production needs, the shelf life of finished products, the minimum profitable and maximum permissible production volumes, as well as storage and transportation costs. The model belongs to the class of multi-criteria NP-hard problems, which requires the use of modern optimization algorithms and approximate solution methods. It is focused on minimizing the costs of the entire production and logistics chain and forming an optimal product range for different consumer groups. Considerable attention is paid to the need for flexible order management, where dispatchers and technologists coordinate the use of raw materials, ensuring the fulfillment of both domestic and export contracts in large batches. Research has also been conducted on the use of artificial intelligence and libraries for data analysis, which will be included in the decision support system being developed. The authors emphasize that the combination of mathematical methods and artificial intelligence technologies forms a new management paradigm in the dairy industry that meets the modern requirements of sustainable development and digital transformation of the food industry. The proposed mathematical model and well-founded tools for its implementation can become the basis for the development of innovative decision support systems that will contribute to the growth of competitiveness of milk processing enterprises in domestic and global markets.