A numerical illustration of a recently proposed strongly polynomial-time algorithm for the general linear programming problem

Name: A numerical illustration of a recently proposed strongly polynomial-time algorithm for the general linear programming problem
Creator: Awoniyi, Samuel
Keywords: Optimization and Control (math.OC), FOS: Mathematics, Mathematics - Optimization and Control

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2023Embargo end date: 01 Jan 2023Publisher:arXiv

Authors: Awoniyi, Samuel;

doi: 10.48550/arxiv.2309.01037

arXiv: 2309.01037

A numerical illustration of a recently proposed strongly polynomial-time algorithm for the general linear programming problem

- Summary
- Subjects
- Metrics

Abstract

Utilizing illustrative linear programming (LP) problem instances, this article presents a numerical illustration of a recently proposed strongly polynomial-time algorithm for the general LP problem. With each iteration of the algorithm consisting of two Gauss-Jordan pivoting operations, the algorithm's implementation is very simple. The algorithm is currently being reviewed for correctness by a reputable optimization journal. Our illustrative example LP problem instances include a Klee-Minty LP problem in its general form and an LP problem of Beale.

12 pages

Keywords

Optimization and Control (math.OC), FOS: Mathematics, Mathematics - Optimization and Control

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	0
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average

Found an issue? Give us feedback

Average

Green