On mathematical models of equipment placement in design and reconstruction of enterprises
https://doi.org/10.35266/1999-7604-2024-4-9
Abstract
Abstract. The article provides an overview of mathematical models for the placement of process equipment. These models are used to solve problems of designing and upgrading production shops. Cases of placement of interconnected equipment are considered. A mathematical model for the placement of production lines and process equipment on them is constructed. The lines are connected by a vertical viaduct through which communications are carried out. The model designates prohibited zones on the lines where no other elements can be placed. The results of numerical experiments using the constructed nonlinear programming model and the CPLEX package are presented. The study considers two series of test examples: one with a fixed viaduct location and another determining its optimal placement. A better value of the objective function was obtained when searching for the location of the viaduct, but the calculation time increased. The model can be used in the design and assessment of the process lines placement with equipment in industrial sectors.
About the Author
N. S. Veremchuk
The Siberian State Automobile and Highway University;
Omsk State Technical University, Omsk
Russian Federation
Russian Federation
Candidate of Sciences (Physics and Mathematics), Docent
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Review
For citations:
Veremchuk N.S. On mathematical models of equipment placement in design and reconstruction of enterprises. Proceedings in Cybernetics. 2024;23(4):92-99. (In Russ.) https://doi.org/10.35266/1999-7604-2024-4-9
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