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Galoitica: Journal of Mathematical Structures and Applications

ISSN
Online: 2834-5568
Frequency

Continuous publication

Publication Model

Open access journal. All articles are freely available online with no APC.

Galoitica: Journal of Mathematical Structures and Applications
Full Length Article

Volume 3Issue 2PP: 28-35 • 2023

Improving Karmarker Algorithm to Obtain Optimal Solution

Ahmad Khaldi 1*
1Mutah University, Faculty of Science, Jordan
* Corresponding Author.
Received: October 12, 2022 Accepted: January 02, 2023

Abstract

In this research, the Karmarker's method of linear programming was improved using the eigenvector of the starting point with all iterations.Where the improvement showed that Karmarker's method can be reduced in a theoretical way by direct method without iterations and access to the optimal solution. The procedure was also Comparison of the two methods and the results of the proposed method were faster and better to reach.

Keywords

Karmarker's algorithm optimal solution linear programming.

References

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[7]  Nemirovski, A. S. and Todd, M. J., " Interior-point methods for optimization ", Acta Numerica (2008), pp.191–234

[8]  Peng, j., Roos, C. and Terlaky, T.," A new and efficient large-update interior-point method for linear optimization", Tom 6, 2001,Ν2 4.

[9]  Winston, W., L.,"Operation Research Application and Algorithm", Indian, 1994.

[10]  Zsuzsanna, S´ and M´arta, K., " On interior-point methods and simplex method in linear programming", An. S¸t. Univ. Ovidius Constant a Vol. 11,2003 , No. 2, 155–162.

Cite This Article

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Khaldi, Ahmad. "Improving Karmarker Algorithm to Obtain Optimal Solution." Galoitica: Journal of Mathematical Structures and Applications, vol. Volume 3, no. Issue 2, 2023, pp. 28-35. DOI: https://doi.org/10.54216/GJMSA.030204
Khaldi, A. (2023). Improving Karmarker Algorithm to Obtain Optimal Solution. Galoitica: Journal of Mathematical Structures and Applications, Volume 3(Issue 2), 28-35. DOI: https://doi.org/10.54216/GJMSA.030204
Khaldi, Ahmad. "Improving Karmarker Algorithm to Obtain Optimal Solution." Galoitica: Journal of Mathematical Structures and Applications Volume 3, no. Issue 2 (2023): 28-35. DOI: https://doi.org/10.54216/GJMSA.030204
Khaldi, A. (2023) 'Improving Karmarker Algorithm to Obtain Optimal Solution', Galoitica: Journal of Mathematical Structures and Applications, Volume 3(Issue 2), pp. 28-35. DOI: https://doi.org/10.54216/GJMSA.030204
Khaldi A. Improving Karmarker Algorithm to Obtain Optimal Solution. Galoitica: Journal of Mathematical Structures and Applications. 2023;Volume 3(Issue 2):28-35. DOI: https://doi.org/10.54216/GJMSA.030204
A. Khaldi, "Improving Karmarker Algorithm to Obtain Optimal Solution," Galoitica: Journal of Mathematical Structures and Applications, vol. Volume 3, no. Issue 2, pp. 28-35, 2023. DOI: https://doi.org/10.54216/GJMSA.030204
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