Generalized model of optimal development of the production system based on optimal aggregation methodology

Taisa M. Borovska; Inna V. Vernigora; Dmitry I. Grishin; Victor A. Severilov; Waldemar Wójcik; Mashat Kalimoldayev

doi:10.1117/12.2536889

6 November 2019 Generalized model of optimal development of the production system based on optimal aggregation methodology

Taisa M. Borovska, Inna V. Vernigora, Dmitry I. Grishin, Victor A. Severilov, Waldemar Wójcik, Mashat Kalimoldayev

Author Affiliations +

Proceedings Volume 11176, Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments 2019; 111765V (2019) https://doi.org/10.1117/12.2536889
Event: Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments 2019, 2019, Wilga, Poland

Abstract

The paper is devoted to the development and research of new mathematical models of the functioning and development of modern production systems. The development is based on the methodology of optimal aggregation and the solution of a variational problem of optimal development applying the maximum principle method. The following modules have been developed: operators of optimal aggregation of the “production, development”, “innovation” structures. The simulation model of the active external environment has been modified: “producers, products, consumers”. The decomposition of the development process has been made into intervals where correction of the optimal development strategy is performed. The analysis of the existing integral criteria of optimality of the “accumulated output” type has been made. The criterion of the generalized stability of the optimally aggregated production system on the given classes of environment is selected and implemented in the software environment. Examples of modelling are given.

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Taisa M. Borovska, Inna V. Vernigora, Dmitry I. Grishin, Victor A. Severilov, Waldemar Wójcik, and Mashat Kalimoldayev "Generalized model of optimal development of the production system based on optimal aggregation methodology", Proc. SPIE 11176, Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments 2019, 111765V (6 November 2019); https://doi.org/10.1117/12.2536889

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