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All Journal MES: Journal of Mathematics Education and Science
Siddik, Fajar Erin
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Mathematics

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Kajian Metode Penalti Pada Optimisasi Linear Dengan Kendala Nonlinear Siddik, Fajar Erin; Nababan, Esther Sorta Mauli; Sawaluddin, Sawaluddin; Zahedi, Zahedi
MES: Journal of Mathematics Education and Science Vol 10, No 1 (2024): Edisi Oktober (Progress)
Publisher : Universitas Islam Sumatera Utara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30743/mes.v10i1.9340

Abstract

This research aims to examine the penalty methods used in linear optimization. The main objective is to identify the advantages and disadvantages of each penalty method, as well as determine the specific context in which each method is most effective. This research belongs to the literature research type. The study is conducted on prepared cases to obtain the optimal result of each penalty method. Penalty methods and barrier methods are interrelated in optimization, especially in handling problems with constraints. The penalty method is used to start the solution search, while the barrier method is applied at the final stage to refine the solution. This is because the penalty method is able to provide an initial solution quickly, which can then be refined using the barrier method to better approach the constraint boundary.
Kajian Metode Penalti Pada Optimisasi Linear Dengan Kendala Nonlinear Siddik, Fajar Erin; Nababan, Esther Sorta Mauli; Sawaluddin, Sawaluddin; Zahedi, Zahedi
MES: Journal of Mathematics Education and Science Vol 10, No 1 (2024): Edisi Oktober
Publisher : Universitas Islam Sumatera Utara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30743/mes.v10i1.9340

Abstract

This research aims to examine the penalty methods used in linear optimization. The main objective is to identify the advantages and disadvantages of each penalty method, as well as determine the specific context in which each method is most effective. This research belongs to the literature research type. The study is conducted on prepared cases to obtain the optimal result of each penalty method. Penalty methods and barrier methods are interrelated in optimization, especially in handling problems with constraints. The penalty method is used to start the solution search, while the barrier method is applied at the final stage to refine the solution. This is because the penalty method is able to provide an initial solution quickly, which can then be refined using the barrier method to better approach the constraint boundary.
Co-Authors Nababan, Esther Sorta Mauli Sawaluddin Sawaluddin, Sawaluddin Zahedi .