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Systematic Literature Review: Implementasi Metode Big M dalam Mengoptimalkan berbagai Kasus Program Linier Azra Sabrina; Nursania Simbolon; Armina Rangkuti; Siti Salamah Br Ginting
Katalis Pendidikan : Jurnal Ilmu Pendidikan dan Matematika Vol. 2 No. 3 (2025): Katalis Pendidikan : Jurnal Ilmu Pendidikan dan Matematika
Publisher : Lembaga Pengembangan Kinerja Dosen

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/katalis.v2i3.2018

Abstract

Linear programming is a crucial operations research method for optimization problems in various fields like manufacturing and logistics, but it is often hindered by the absence of a basic feasible solution due to artificial variables. The Big M method addresses this by adding artificial variables and a large penalty, allowing the discovery of a valid initial solution without altering the constraint structure. This research employs a Systematic Literature Review (SLR) to examine the implementation of the Big M method in Indonesia from 2015-2025, analyzing journals and proceedings related to linear programming optimization. The review findings indicate that this method is highly effective and flexible for diverse cases such as production, animal feed, and scheduling, capable of handling artificial constraints and optimizing profit or cost. Although efficient, the Big M method has drawbacks, including computational complexity and dependence on the precise selection of the M value, which can affect result accuracy. Overall, the Big M Method remains relevant and important for real-world optimization problems requiring systematic constraint handling.
Pengenalan Algoritma Pemrograman Dasar Dalam Konteks Pembelajaran Pemrograman Awal Armina Rangkuti; Yahfizham Yahfizham
Konstanta : Jurnal Matematika dan Ilmu Pengetahuan Alam Vol. 1 No. 4 (2023): Desember : Jurnal Matematika dan Ilmu Pengetahuan Alam
Publisher : International Forum of Researchers and Lecturers

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.59581/konstanta.v1i4.1714

Abstract

Algorithms are steps that are arranged logically and systematically to solve a problem. In the world of simple programming, the algorithm is the initial stage and is written before the program is written. One of the problems that can be solved with computer programming is problems that involve mathematical calculations. This research aims to develop understanding of algorithms and develop programming skills, especially for beginners. The method used in this research is the literature study or literature review method, namely analyzing several studies related to the topic discussed, especially introducing the basic concepts of programming algorithms, characteristics of programming algorithms, grouping programming languages ​​based on level and algorithm notation, which are some of the basic things that are mandatory. known by everyone who wants to create a program. This understanding will be very helpful in the development of more complex programming projects. Therefore, learning basic programming algorithms is very crucial or important for anyone who wants to start in the world of programming.