Systematic Literature Review: Implementasi Metode Big M dalam Mengoptimalkan berbagai Kasus Program Linier

Azra Sabrina ; Nursania Simbolon ; Armina Rangkuti ; Siti Salamah Br Ginting
Jurnal Ilmu Pendidikan dan Matematika 📅 2025 Vol 2, No 3 🔗 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.
Keywords
Big M Method; Optimization; Linear Programming; Systematic Literature Review; Artificial Variables
How to Cite

Azra Sabrina, et al. (2025). Systematic Literature Review: Implementasi Metode Big M dalam Mengoptimalkan berbagai Kasus Program Linier. Jurnal Ilmu Pendidikan dan Matematika, 2(3). https://doi.org/10.62383/katalis.v2i3.2018

Azra Sabrina; Nursania Simbolon; Armina Rangkuti; Siti Salamah Br Ginting, "Systematic Literature Review: Implementasi Metode Big M dalam Mengoptimalkan berbagai Kasus Program Linier," Jurnal Ilmu Pendidikan dan Matematika, vol. 2, no. 3, 2025.

Azra Sabrina; Nursania Simbolon; Armina Rangkuti; Siti Salamah Br Ginting. "Systematic Literature Review: Implementasi Metode Big M dalam Mengoptimalkan berbagai Kasus Program Linier." Jurnal Ilmu Pendidikan dan Matematika, vol. 2, no. 3, 2025.

Azra Sabrina; Nursania Simbolon; Armina Rangkuti; Siti Salamah Br Ginting. "Systematic Literature Review: Implementasi Metode Big M dalam Mengoptimalkan berbagai Kasus Program Linier." Jurnal Ilmu Pendidikan dan Matematika 2, no. 3 (2025).

Azra Sabrina, et al. (2025) 'Systematic Literature Review: Implementasi Metode Big M dalam Mengoptimalkan berbagai Kasus Program Linier', Jurnal Ilmu Pendidikan dan Matematika, 2(3). doi: 10.62383/katalis.v2i3.2018.

Azra Sabrina; Nursania Simbolon; Armina Rangkuti; Siti Salamah Br Ginting. Systematic Literature Review: Implementasi Metode Big M dalam Mengoptimalkan berbagai Kasus Program Linier. Jurnal Ilmu Pendidikan dan Matematika. 2025;2(3).

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