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Model of Innovative Development of Production Systems Based on the Methodology of Optimal Aggregation

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Advances in Intelligent Systems and Computing III (CSIT 2018)

Abstract

The mathematical model of the integrated system “innovation, development, production” has been developed, software implemented and studied. The development is based on methodologies of applied system analysis and optimal aggregation of production systems. Analogues are analyzed: a model of a three-level ecological system, a model of the production system “production, development, innovation” on the basis of a ternary operator of optimal aggregation. The new development uses the binary operator of optimal aggregation “production, development”, the essence of which is the optimal distribution of the “resource quantum” between the subsystems “production” and “development”, the “resource quantum” is allocated for a finite time interval. Optimal control is obtained as a function of the duration of the interval and the magnitude of the resource quantum.

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References

  1. Borovska, T.N., Kolesnik, I.C., Severilov, V.A.: Optimal Aggregation Method in Optimization Problems. Universum Vinnitsa, Vinnitsa (2009)

    Google Scholar 

  2. Borovska, T.N.: Optimal aggregation of production systems with parametric connections. East. Eur. J. Enterprise Technol. 4(11), 9–19 (2014)

    Google Scholar 

  3. Opoitsev, V.I.: Equilibrium and Stability in Models of Collective Behavior. World, Moscow (1977)

    Google Scholar 

  4. Forrester, J.W.: Basics of Cybernetics Enterprises (Industrial Dynamics). Progress, Moscow (1971)

    Google Scholar 

  5. Leontiev, V.: Theoretical assumptions and nonobservable facts. USA Econ. Ideol. Polit. 9, 15 (1971)

    Google Scholar 

  6. Rüttimann, B.: Introduction to Modern Manufacturing Theory. Springer (2018)

    Google Scholar 

  7. Rüttimann, B., Stockli, M.: Going beyond triviality: The Toyota production system—lean manufacturing beyond Muda and Kaizen. J. Serv. Sci. Manag. 9, 140–149 (2016)

    Google Scholar 

  8. Nersessian, N.J., Chandrasekharan, S.: Hybrid analogies in conceptual innovation in science. Cogn. Syst. Res. 10, 178–188 (2009)

    Article  Google Scholar 

  9. Borovska, T.N.: Mathematical models of functioning and development of production systems based on the optimal aggregation methodology. VNTU, Vinnitsa (2018)

    Google Scholar 

  10. Bellman, R.E., Kalaba, R.E.: Dynamic Programming and Modern Control Theory. NAYKA Publishing house, Moscow (1969)

    MATH  Google Scholar 

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Correspondence to Taisa Borovska .

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Borovska, T., Vernigora, I., Severilov, V., Kolesnik, I., Shestakevych, T. (2019). Model of Innovative Development of Production Systems Based on the Methodology of Optimal Aggregation. In: Shakhovska, N., Medykovskyy, M. (eds) Advances in Intelligent Systems and Computing III. CSIT 2018. Advances in Intelligent Systems and Computing, vol 871. Springer, Cham. https://doi.org/10.1007/978-3-030-01069-0_12

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