Mathematical models of production systems development based on optimal aggregation methodology

Taisa M. Borovska; Inna V. Vernigora; Waldemar Wójcik; Konrad Gromaszek; Saule Smailova; Zhassulan Orazbekov

doi:10.1117/12.2281222

7 August 2017 Mathematical models of production systems development based on optimal aggregation methodology

Taisa M. Borovska, Inna V. Vernigora, Waldemar Wójcik, Konrad Gromaszek, Saule Smailova, Zhassulan Orazbekov

Proceedings Volume 10445, Photonics Applications in Astronomy, Communications, Industry, and High Energy Physics Experiments 2017; 104452P (2017) https://doi.org/10.1117/12.2281222
Event: Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments 2017, 2017, Wilga, Poland

Abstract

The theoretical fundamentals and principles of development models and methods of the production systems development processes optimization, based on optimal aggregation methodology are proposed. The new approach is a generalization and development of the methods of maximum and dynamic programming principle. The characteristic feature of the given approach from its analogues – decomposition of multidimensional optimization problem in one-dimensional tasks system. On the base of resource links graph analysis between the elements of production systems binary tree of optimal aggregation is built. As a result, the multidimensional nonlinear model of the production system is replaced with the equivalent by input-output one-dimensional element, for which variation problem of the optimal development with integral criterion of the first kind is solved.

Citation Download Citation

Taisa M. Borovska, Inna V. Vernigora, Waldemar Wójcik, Konrad Gromaszek, Saule Smailova, and Zhassulan Orazbekov "Mathematical models of production systems development based on optimal aggregation methodology", Proc. SPIE 10445, Photonics Applications in Astronomy, Communications, Industry, and High Energy Physics Experiments 2017, 104452P (7 August 2017); https://doi.org/10.1117/12.2281222

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