International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Open Access | Fully Refereed | Peer Reviewed

ISSN: 2319-7064


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Research Paper | Mathematics | Afghanistan | Volume 10 Issue 4, April 2021


Linear Programming Using ABS Method

Mohammad Yasin Sorosh, Samaruddin Jebran, Nooruddin Fakhri


Abstract: Nowadays, we face many equations in everyday life, where many attempts have been made to find theirsolutions, and various methods have been introduced. Many complex problems often lead to the solution of systems of equations. In mathematics, linear programming problems is a technique for optimization of a linear objective function that must impose several constraints on linear inequality. Linear programming emerged as a mathematical model. In this study, we introduce the category of ABS methods to solve general linear equations. These methods have been developed by Abafi, Goin, and Speedicato, and the repetitive methods are of direct type, which implicitly includes LU decomposition, Cholesky decomposition, LX decomposition, etc. Methods are distinguished from each other by selecting parameters. First, the equations system and the methods of solving the equations system along with their application are examined. Introduction and history of linear programming and linear programming problems and their application were also discussed.


Keywords: ABS Algorithm, Huang Method, Implicit LU, Implicit LX, Linear Programming, Linear Inequalities


Edition: Volume 10 Issue 4, April 2021,


Pages: 987 - 990


How to Cite this Article?

Mohammad Yasin Sorosh, Samaruddin Jebran, Nooruddin Fakhri, "Linear Programming Using ABS Method", International Journal of Science and Research (IJSR), https://www.ijsr.net/get_abstract.php?paper_id=SR21414105619, Volume 10 Issue 4, April 2021, 987 - 990

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