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Optimization of Management Decisions of Recreational Innovative Companies

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Developments in Information & Knowledge Management for Business Applications

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 420))

Abstract

The article develops a mathematical apparatus for optimizing management decisions of recreational innovative companies, which is predetermined by Industry 4.0. There are identified and formalized the effects of innovation activity of these companies, which made it possible to formulate criteria and indicators of the proposed mathematical apparatus. The expediency of taking into account the vector efficiency criterion for optimizing management decisions at recreational innovative enterprises is justified. At the same time, such enterprises are considered complex multi-criteria social systems. There was developed a mathematical apparatus for selecting management decisions by recreational innovative companies that are considered optimal according to Pareto, provided that the vector optimization criterion is used. The concept of stability of a recreational innovative enterprise as a socio-economic system is discussed, which is proposed to be mathematically considered through an integrated assessment of the effectiveness of the management object over a period of time \(T\). A graph of the financial states of innovative projects of recreational innovative enterprises is constructed and described by the Kolmohorov system of differential equations and the corresponding system of algebraic equations. Solving a system of differential equations allowed us to obtain dynamic characteristics of the financial States of innovative projects, and solving a system of algebraic equations allowed us to obtain static characteristics, which makes it possible to predict the financial states of these projects. Applied calculations in this regard were performed in the course of studying the financial conditions of the implementation of 27 innovation and investment projects of the Truskavets sociopolis (Ukraine), where 53 observations of the state of financial indicators of these projects were made. The mathematical apparatus presented in the article can be widely used as mathematical support for information systems for assessing and predicting the effectiveness of the development of recreational innovative enterprises and socio-economic systems in general to make optimal management decisions.

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Authors and Affiliations

  1. Lviv Polytechnic National University, Bandera Street, 12, Lviv, Ukraine

    Mykola Odrekhivskyi, Orysya Pshyk-Kovalska & Volodymyr Zhezhukha

Authors
  1. Mykola Odrekhivskyi
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  2. Orysya Pshyk-Kovalska
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  3. Volodymyr Zhezhukha
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Correspondence to Volodymyr Zhezhukha .

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Editors and Affiliations

  1. Department of Information Systems, Faculty of Management, Comenius University, Bratislava, Slovakia

    Natalia Kryvinska

  2. Department of Information Systems, Faculty of Management, Comenius University, Bratislava, Slovakia

    Michal Greguš

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Odrekhivskyi, M., Pshyk-Kovalska, O., Zhezhukha, V. (2022). Optimization of Management Decisions of Recreational Innovative Companies. In: Kryvinska, N., Greguš, M. (eds) Developments in Information & Knowledge Management for Business Applications. Studies in Systems, Decision and Control, vol 420. Springer, Cham. https://doi.org/10.1007/978-3-030-95813-8_18

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