IMPROVING THE METHOD OF OPTIMIZING THE DISTRIBUTION OF PRODUCTION RESOURCES IN CONFECTIONERY PRODUCTION

Анотація

The object of the research is the processes of production planning and utilization of production resources in confectionery production under conditions of limited production and technological capacities and variability of the product assortment. The subject of the research is methods and mathematical models for optimizing the allocation of material, energy, and production resources aimed at improving the efficiency of enterprise operation. The purpose of the research is to improve the method and mathematical model for optimizing the allocation of production resources of an enterprise, ensuring profit maximization under given production and technological conditions, resource constraints, and product assortment structure, as well as enhancing the effectiveness of managerial decision-making in production planning. To achieve the stated purpose, the following objectives are addressed in the study: analysis of modern methods and approaches to resource allocation in the confectionery industry; identification of key factors influencing the efficiency of material, energy, and production resource utilization; improvement of the mathematical model for enterprise profit formation; formulation of an optimization objective function considering economic and technological constraints; improvement of the method for solving the optimization problem to determine rational resource allocation parameters. The research employs the following methods: system analysis and generalization of scientific sources; linear and nonlinear programming methods; economic and mathematical modeling; discrete-analytical optimization methods; methods of algorithm design and software implementation. The main results of the study consist in improving the mathematical model of profit optimization by considering the interrelationships between technological production parameters, resource constraints, and product assortment structure. An optimization objective function has been formulated, and the method for solving it has been improved, enabling the generation, evaluation, and selection of the optimal resource allocation alternative. The proposed approach has been implemented in the form of a software and algorithmic tool suitable for integration into production management information systems. In the conclusions, it is established that the implementation of the improved method enhances the efficiency of production planning, rationalizes resource utilization, and increases the profitability of a confectionery enterprise, confirming its practical feasibility and effectiveness.

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