Mathematical models of production systems development, based on optimal aggregation methodology

被引：1

作者：

Borovska, Taisa M. ^{[1
]}

Vernigora, Inna V. ^{[1
]}

Wojcik, Waldemar ^{[2
]}

Gromaszek, Konrad ^{[2
]}

Smailova, Saule ^{[3
]}

Orazbekov, Zhassulan ^{[4
]}

机构：

[1] Vinnytsia Natl Tech Univ, Khmelnytsky Hwy,95, UA-21021 Vinnytsia, Ukraine

[2] Lublin Univ Technol, Ul Nadbystzrycka 38D, PL-20618 Lublin, Poland

[3] D Serikbayev East Kazakhstan State Tech Univ, 69 Protozanov St, Ust Kamenogorsk 070004, Kazakhstan

[4] al Farabi Kazakh Natl Univ, 71 al Farabi Ave, Alma Ata 050040, Kazakhstan

来源：

PHOTONICS APPLICATIONS IN ASTRONOMY, COMMUNICATIONS, INDUSTRY, AND HIGH ENERGY PHYSICS EXPERIMENTS 2017 | 2017年 / 10445卷

关键词：

optimal aggregation; methodology; variation problem; development strategy; binary operator; production system; subsystems integration;

D O I：

10.1117/12.2281222

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

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.

引用

页数：11

共 19 条

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