COMMON STATEMENT OF THE OPTIMAL MATERIALS COMPOSITION PROBLEM AS A VARIETY OF THE BLENDING OPTIMIZATION PROBLEM
The article considers the classical problem of finding an optimal blend and its features; implemented formulation of the problem of optimal composition of materials through modernizing the classical blending problem and represent it in the form that helps lightweighting production a computer program. The article gives an example of the application of this mathematical task to finding the optimal composition of materials in the production of corrugated cardboard. Modernized task of optimizing the components of corrugated cardboard in contrast to the classical task is an integer with Boolean variables. Constraints of the task are formed on the basis of linear dependency characteristics of the finished product from those of the initial components. In conclusion, analysis allow us to say that the modernized task belongs to the same class of the basic blending problems. This result is based on the similarity of problem performances and methods of solution.