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Intelligent enterprise capital control based on Markov chain

Andriushchenko Kateryna, Liezina Anastasiia, Lavruk Vitalii, Sliusareva Liudmyla, Rudevska Viktoriia

Acta Innovations

2022

no. 45

18--30

This scientific work is devoted to the processes of creating technologies, as well as the use of their mathematical representation in the form of models in the context of the formation and development of the intellectual capital of an enterprise. To select a goal, a vision was formed to prove or refute any possibility of using Markov's theory in practice, namely the creation of a stochastic model of the intellectual capital of an enterprise in monetary terms, which manifests itself in investments in intangible assets. As an initial model hypothesis, the statement is accepted that investments in the enterprise's intangible assets are a factor in the transformation of intellectual capital into the company's value. Based on the results of applying the stochastic Markov chain model, the potential profit of the company's intangible assets was estimated, the main elements of which were intellectual capital assets during the study. A matrix of transition probabilities has been formed and modeling of the limiting probabilities of the system states has been implemented. The necessary conditions and boundaries of the scope of the mathematical model are also determined. The mathematical method of modeling the company's intellectual capital proposed in the article allows determining the contribution of each of the structural components to the formation of the value of the enterprises intellectual capital, thereby making it possible to establish a current balance between all its elements, which contributes to a comprehensive study of the company's intellectual assets.