Mathematical models of production systems development based on optimal aggregation methodology

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

doi:10.1117/12.2281222

Cited by 2 publications

(4 citation statements)

References 3 publications

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“…The theoretical basis for the development is the optimal aggregation methodology [8], which: sets the rational structure for the production system; allows any loosely monotonous production functions; requires the identification of all significant resource relationships; provides a reconfiguration of the production system in case of failures in the subsystems [11,24]; provides the adaptability of optimal control to changes in prices and technological parameters [1,11,23].…”

Section: Optimal Aggregation Methodologymentioning

confidence: 99%

“…In this paper, we consider the tasks at the resource level, and the prices are included as parameters. Models of the markets where prices are formed are described in work of Borovska [9,11]. On the left graph of Fig.…”

Section: Statement and Solution Of The Problem Of Optimal Aggregation...mentioning

confidence: 99%

“…These transformations generate a new class of optimization problems and corresponding mathematical models. We considered the basic model of the integrated system "production, development" [11,35]. In this paper, we modify this model to account the use of credits.…”

Section: Embedding Credits In Production and Development Functionsmentioning

confidence: 99%

“…This paper presents the solution of one of the tasks of creating a generalized mathematical model of optimal development. Section 2 of this article presents the results of research and development of the first stage, on which the development of a new model is based [11,15,20].…”

Section: Introductionmentioning

confidence: 99%

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Elaboration and Research of a Model of Optimal Production and Development of Industrial Systems Taking Into Account the Use of the External Resources

Hryshyn

Borovska

Kalizhanova

2022

IAPGOS

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The problem of optimization of investment projects related to the development of modern production systems is considered. The tasks of managing of operation and development of production systems considering external resources – the synthesis and analysis of optimal credit strategies – are posed and solved. An analysis of analogs – solutions of the variational problem of optimal development, the disadvantage of which is the difficulty of obtaining information about the state of production and the external environment, was carried out. The new solution is based on the resource approach, when external resources are taken into account in the cost of production resources. A generalized model of optimal development is used, in which the planned period of the investment project is divided into intervals. At the beginning of each interval, the optimal development strategy is adjusted taking into account the clarification of information about the future state of the active environment: actions of competitors, consumers, world markets. To determine the optimal amount and optimal distribution of credits between subsystems, the maxima of the criterion – the parameterized function of the system's efficiency – are determined at each interval. A new model has been developed based on the model of optimal development, which takes into account the use of external resources, such as loans. The method of including an external resource in the development function and the production function is considered. Examples of modeling are given.

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Section: Optimal Aggregation Methodologymentioning

confidence: 99%

Section: Statement and Solution Of The Problem Of Optimal Aggregation...mentioning

confidence: 99%

Section: Embedding Credits In Production and Development Functionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Elaboration and Research of a Model of Optimal Production and Development of Industrial Systems Taking Into Account the Use of the External Resources

Hryshyn

Borovska

Kalizhanova

2022

IAPGOS

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

Borovska

Grishin

Колесник

et al. 2019

Advances in Intelligent Systems and Computing IV

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Mathematical models of production systems development based on optimal aggregation methodology

Cited by 2 publications

References 3 publications

Elaboration and Research of a Model of Optimal Production and Development of Industrial Systems Taking Into Account the Use of the External Resources

Elaboration and Research of a Model of Optimal Production and Development of Industrial Systems Taking Into Account the Use of the External Resources

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

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