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All Journal Jurnal Riset Rumpun Ilmu Pendidikan (JURRIPEN)
Amar Pilenon Sinaga
universitas negeri medan
Education Languange, Linguistic, Communication & Media Other

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Journal : Jurnal Riset Rumpun Ilmu Pendidikan (JURRIPEN)

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REKONSTRUKSI MODEL PROGRAM NONLINIER DENGAN FUNGSI POLINOMIAL MENJADI BENTUK PROGRAM KUADRATIK Amar Pilenon Sinaga; Lasker Pangarapan Sinaga
JURNAL RISET RUMPUN ILMU PENDIDIKAN Vol. 2 No. 1 (2023): April : Jurnal Riset Rumpun Ilmu Pendidikan
Publisher : Pusat Riset dan Inovasi Nasional

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55606/jurripen.v2i1.814

Abstract

The purpose of this research to revisits methods that are more effective in nonlinear Optimization with single variable polynomial functions at high degrees. Models with linear objective functions and constraint functions are Polynomials of third, fourth and fifth degree reconstructed into subproblems that are easier to solve, namely quadratic programs, using bilinear Auxiliary Functions and solved by MATLAB simulations. The method used is the development of Tawarmalani & Sahinidis' research regarding relaxation with Auxiliary Functions. Examples of nonlinear Optimization with polynomial functions are also given to illustrate the implementation of this algorithm. The results of the research show that the application of the development reconstruction method produces a global solution that is no better than the solution to the original problem so that it is not an effective alternative method to use.
Co-Authors Lasker Pangarapan Sinaga