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Natalya V. Kireeva, Socio-Economic Institute (branch of the Academy of Labour and Social Relations), Chelyabinsk, Russia

Evgenia S. Zambrzhitskaya, Nosov Magnitogorsk State Technical University, Magnitogorsk, Chelyabinsk oblast, Russia

Elena A. Makarova, OOO “Russkiy Khleb Food Group”, Magnitogorsk, Chelyabinsk oblast, Russia


The known methods for evaluating production capacities of industrial enterprises mostly submit approximate estimates and are typical of the planned economy. Currently, their practical application is limited, because the product range of companies is no longer fixed. Models created using the graph theory and matrix calculus are capable of overcoming these limitations and providing relevant information support for management decisions. The paper focuses on developing a method for evaluating the production capacity of an enterprise using graph models. Methodologically, the research relies on the graph theory and industrial engineering; applies methods of analysis and synthesis, matrix modelling. The central idea of the proposed models is that an enterprise is a depersonalized production system made up of certain links forming a production chain. To perform relevant calculations the graph model is aligned with the matrix model, which reckons with the main parameters of the production system: technological relationships, product mix, time and material consumption rates, production capacity of each link. The key difference between the graph model and currently existing approaches lies in abandoning the principle of a bottleneck link and switching to the concept of a limiting link, as well as using conditional units of product range. Testing the proposed models on a case of a bakery enterprise proves the efficiency of the method for assessing the production capacity. The developed graph model allows for sound management of production capacities due to the understanding of the flexibility of a product range and technological relationships.

Keywords: production capacity; production system; product mix; graph theory; matrix modelling; enterprise.

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For citation: Kireeva N. V., Zambrzhitskaya E. S., Makarova E. A. (2021). Grafo-matrichnye modeli otsenki proizvodstvennoy moshchnosti predpriyatiya [Graph models for evaluating production capacities of enterprises]. Journal of New Economy, vol. 22, no. 2, pp. 134–154. DOI: 10.29141/2658-5081-2021-22-2-7