CONSTRUCTION AND USE OF HIERARCHICAL CRITERIA IN PRODUCTION MANAGEMENT PROBLEMS

The multicriteriality problem has many aspects. The paper is dedicated to one of them, namely development of the methodology for building and using dynamically changing multi-level vector criteria for optimization of engineering and manufacturing complexes. The approach applied most frequently involves converting a vector optimization criterion into a scalar one. When multi-level criteria are used we have to deal with a system of embedded convolutions forming a hierarchical system of vectors. The current principles of making convolutions for such systems can be implemented in different ways depending on peculiarities of the controlled object and management goals. This study discusses building of hierarchical criteria in formulating mathematical problems for engineering and manufacturing complex optimization. A method of forming and scalarization of a hierarchical vector criterion following a recurrent procedure based on an invariant representing a linear combination of Holder norms of partial criteria is suggested. An example of techniques usage in the development of software for multi-criterial optimization of refinery is given. The hierarchical vector criterion is integrated into the matrix of conditions as a system of embedded into each other structurally similar matrices — matrix invariants. It allows automation of the process of building and utilizing hierarchical criteria employed for optimal production planning.

production management, multicriteria optimization, target programming, criteria ranking, criterion tree graph, scalarization of vector criteria, recurrent convolution procedure, structural matrix invariant, automation of criterion construction.

Sizikov A. P. Construction and use of hierarchical criteria in production management problems. Business. Education. Law, 2021, no. 2, pp. 150—155. DOI: 10.25683/VOLBI.2021.55.242.