FEATURES OF INDUSTRIAL PRODUCTION OPTIMIZATION BASED ON MATHEMATICAL PROGRAMMING

The aim of the study is to substantiate the structure and parameters of a mathematical model intended for solving the task of optimizing loading the equipment at an industrial enterprise engaged in multivariety series production. The objective is to develop a mathematical model and a software implementation system to conduct studies assessing its effectiveness in addressing the challenge of enhancing industrial production efficiency. The paper uses a method of mathematical modelling based on linear programming methods. The novelty of the study addresses questions regard-ing the validation of parameters for a mathematical model optimized for equipment loading in tasks with high-dimensional complexity. The findings include developing a mathematical model and associated software, capable of boosting the opera-tional efficiency of industrial enterprises. The conclusions are the results of this study will prove useful for developers of software systems employed in production management at industrial enterprises.