Research and Development of Models and Program for Optimal Product Line Control

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


The article is devoted to the development of mathematical models and program for methods of optimal control of product lines. The classes of the lines are analyzed, the mathematical model of the line as a control object for the manufacturer, retailer and customer are proposed. The analysis of previous developments was carried out: market models with asymmetric information structure, models of manufacturers of the production segment and alternative simulation models of the product line. The study of the dynamics and steady state of the product line was carried out. To study the dynamics of the product line, a simulation model of «producers, product lines, consumers» was used, in which the choice of consumers is simulated in the samples. The problem of optimal aggregation of a multidimensional nonlinear, stochastic and non-stationary object «product line» has been set and solved. Optimal control program has been developed on the basis of optimal aggregation. Examples of modeling are given.


Optimal aggregation Product line Production function Demand function Information technology 


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© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Vinnytsia National Technical UniversityVinnytsiaUkraine
  2. 2.Lviv Polytechnic National UniversityLvivUkraine

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