Optimization of alternative options in the thematic planning of book publications

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Osinchuk O. I., Senkivskyi V. M. № 1 (75) 61-67 Image Image

In the article, alternatives have been formed and the optimal variant of the quality assurance of thematic planning of book editions has been determined. For this, a multicriteria optimization method has been used based on an optimized model of the influence of the factor weights on the quality of planning.

In this regard, the importance of factors and their influence on the overall quality of planning and prepress preparation of books have been established. The research is to solve the multicriteria optimization problem associated with making informed decisions. For this, the Pareto method has been used, which provides the isolation of dominant factors from the common set and the removal of factors that have smaller weight values. That is, the non-dominant factors that make up the Pareto set have been applied.

According to the theory of decision-making, the solution of the multicriteria opti­mization problem on a set and in the presence of a goal function involves finding the maximum value of the utility function. The multicriteria choice of alternatives is based on the method of linear collapse of the criteria. For the selected factors (an initial set for further calculations), a matrix of pairwise comparisons is constructed using the Saaty method and the comparative scale. As a result of processing the matrix and normalizing the components of its main eigenvector, the final weighting factors have been obtained. It has been determined that the normalization criteria are within the norm.

The reliability of the computational results is confirmed by the satisfactory values of the priority vector, the consistency index, and the consistency relation for each of the matrices.

Multivariate assessments of the usefulness of alternative options for the thematic planning of book editions have been obtained for which, as a result of the study, the type of publication is the determining one.

Keywords: alternatives, Pareto set, functional, matrix of pairwise comparisons, fac­tors, utility function.


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