Mathematical Models and Program of Resource Feedbacks in the Systems «Production, Retail»

  • Taisa BorovskaEmail author
  • Dmitry Grishin
  • Irina Kolesnik
  • Victor Severilov
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 1080)


The research is devoted to the development of new mathematical models and programs for the analysis and synthesis of systems «production, retail» taking into account information and resource feedbacks. A specific feature of current scientific and practical problems in this area is the substantial nonlinearity, nonstationarity, stochasticity, and high dimensionality of the feedbacks. The classification of the feedbacks in the systems «production, retail» has been performed. To solve the control problems, the methods of optimal aggregation are used. Mathematical models and programs for binary operators of aggregation of structures with feedback are developed. Solutions of optimization problems for parallel and sequential structures with the feedbacks. The study of the dynamics and steady states of the structures with the feedbacks «returning the cost of production», «recycling of waste» has been carried out. To study the dynamics of the retail the simulation model of «producers, consumers» is used. Examples of modeling are given.


Optimal aggregation Feedback Production function Information technology 


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© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Vinnytsia National Technical UniversityVinnytsiaUkraine

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