2022
DOI: 10.48550/arxiv.2204.02901
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Visualizing Multidimensional Linear Programming Problems

Nikolay A. Olkhovsky,
Leonid B. Sokolinsky

Abstract: The article proposes an n-dimensional mathematical model of the visual representation of a linear programming problem. This model makes it possible to use artificial neural networks to solve multidimensional linear optimization problems, the feasible region of which is a bounded non-empty set. To visualize the linear programming problem, an objective hyperplane is introduced, the orientation of which is determined by the gradient of the linear objective function: the gradient is the normal to the objective hyp… Show more

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