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Intelligent enterprise capital control based on Markov chain

Article history: Received 6 June 2022, Received in revised form 6 June 2022, Accepted 2 July 2022, Available online 4 July 2022

pages: 18-30


Authors

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


Abstract

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.

DOI: https://doi.org/10.32933/ActaInnovations.45.2


Keywords

markov chain; intelligent control; stochastic modeling; investments

This work has been published free of charge as a support of the publisher to the Ukrainian authors facing difficulties caused by the Russian war.