The article addresses the problem of allocating production resources in a confectionery plant in order to achieve the most efficient production process. The author shows that this issue belongs to the field of operations research, specifically linear programming and optimization methods used for decision-making.

In the technical part, a mathematical model is constructed with decision variables representing assignment of products to production units, a objective function minimizing total production time, and a set of linear constraints ensuring that each product is assigned to only one unit and each unit performs only one task. The model is based on systems of linear equations and inequalities and solved using optimization tools such as the simplex method .

As a result, the optimal allocation of production tasks was determined, indicating which production unit should produce each product to achieve the minimum total production time. The article demonstrates that linear programming as a method of operations research enables effective resource allocation and supports rational decision-making in production management.

Publication link: https://sigma-not.pl/zeszyt-6724-przeglad-piekarski-i-cukierniczy-2021-8.html