Geometry on Optimal Problem

Denys Shcherbak; Natalya Pya Arnqvist

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arXiv · 2312.01775

Geometry on Optimal Problem

Denys Shcherbak·Natalya Pya Arnqvist

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Abstract

We introduce an algorithm which can be directly used to feasible and optimum search in linear programming. Starting from an initial point the algorithm iteratively moves a point in a direction to resolve the violated constraints. At the same time, it ensures that previously fulfilled constraints are not breached during this process. The method is based on geometrical properties of n-dimensional space and can be used on any type of linear constraints (>, =, $\geq$), moreover it can be used when the feasible region is non-full-dimensional.

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BibTeX RIS

Denys Shcherbak, Natalya Pya Arnqvist. 2023-12-04. Geometry on Optimal Problem. https://arxiv.org/abs/2312.01775

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