The Problem of Allocation of Production Resources with a System of Constraints

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Abstract

The problem of optimizing production and resource allocation have been always relevant. The paper deals with the problem of allocation of production resources with a system of constraints. As an example, the problem of optimizing the process of pouring raw aluminum into vacuum buckets in the electrolysis department of the foundry is considered. To solve this problem, a model of integer linear programming is proposed. The advantage of this approach is the ability to flexibly configure the system of constraints and minimized of objective in accordance with production priorities. The paper discusses the software implementation of the developed model and presents the results of a numerical experiment based on test samples. Based on the obtained solution, a conclusion is made about the effectiveness of the integer linear programming model in this optimization problem.

General Information

Keywords: linear programming, optimization problem, production optimization, metallurgy

Journal rubric: Optimization Methods

Article type: scientific article

DOI: https://doi.org/10.17759/mda.2023130208

Received: 17.04.2023

Accepted:

For citation: Rasskazova V.A., Skuridin A.A. The Problem of Allocation of Production Resources with a System of Constraints. Modelirovanie i analiz dannikh = Modelling and Data Analysis, 2023. Vol. 13, no. 2, pp. 142–150. DOI: 10.17759/mda.2023130208. (In Russ., аbstr. in Engl.)

References

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Information About the Authors

Varvara A. Rasskazova, PhD in Physics and Matematics, Associate Professor of Department 804 "Probability Theory and Computer Modeling", Moscow Aviation Institute, (NRU MAI), Moscow, Russia, ORCID: https://orcid.org/0000-0003-4943-3133, e-mail: varvara.rasskazova@mail.ru

Alexey A. Skuridin, Graduate Student, Department of the Institute of Computer Science and Applied Mathematics, Moscow Aviation Institute (National Research University) (MAI), Moscow, Russia, ORCID: https://orcid.org/0009-0002-6466-2110, e-mail: aas-allex@gmail.com

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