Perbandingan Algoritma Kruskal dan Prim dalam Menentukan Minimum Spanning Tree untuk Optimasi Jaringan Distribusi Listrik

Euis Sartika (1), Anie Lusiani (2)
(1) Politeknik Negeri Bandung, Indonesia,
(2) Politeknik Negeri Bandung, Indonesia

Abstract

This study aims to compare the performance of the Kruskal and Prim algorithms in solving the Minimum Spanning Tree (MST) problem for the PLN UP3 Cimahi electricity distribution network using Python-based Google Colab. The study employs an applied research methodology, utilising data on the lengths of electricity network cables modelled as a weighted graph. The analysis was carried out using the NetworkX library on Google Colab to construct the MST using both algorithms. The results show that both algorithms produced the same total MST weight of 1,258.05 metres, which is less than the initial network length of 1,424.61 metres, resulting in an efficiency of 11.69 per cent. Although they produced identical solutions, the Kruskal algorithm is simpler to apply to networks with a large number of nodes because the weight sorting process is carried out at the beginning. This study demonstrates that Google Colab is an effective platform for both learning and implementing graph theory-based network optimisation.

Full text article

Generated from XML file

References

Abhisyeka, B., Bagaskara, J. A., Valensy, I., Permana, R. H. P., & Suroni, A. (2025). Minimum Spanning Tree Approach for Optimization and Clustering: Algorithms, Applications, and Comparisons. Journal of Advanced Systems Intelligence and Cybersecurity, 1(01).

Alham, N. R., Budiasih, A. F., Utomo, R. M., Muslimin, M., & Wirawan, A. P. (2024). Studi Konservasi Energi Pada Beban Rumah Tangga Dalam Upaya Efisiensi Penggunaan Energi Listrik. JTEIN: Jurnal Teknik Elektro Indonesia, 5(2), 309–320.

Didiharyono, D., & Soraya, S. (2018). Penerapan Algoritma Greedy Dalam Menentukan Minimum Spanning Trees Pada Optimisasi Jaringan Listrik Jala. Jurnal VARIAN, 1(2), 1–10. https://doi.org/10.30812/varian.v1i2.66

Fitriana, R. (2014). Perbandingan Algoritma Prim dan Kruskal untuk Menyelesaikan Masalah Spanning Tree. Procedia Manufacturing, 1(22 Jan), 1–17.

Julistia, A., & Mardhotillah, B. (2025). Pengoptimalan Pendistribusian Jaringan Listrik Menggunakan Kruskal Algorithm. JISTech (Journal of Islamic Science and Technology), 10(1), 64–71.

Munir, R. (2016). Matematika Diskrit (Edisi Ketiga. Informatika.

Niluminda, K. P. O., & EMUSB, E. (2022). An efficient method to solve minimum spanning tree problem using graph theory and improved ant colony optimization algorithm. North American Academic Research, 5(12), 34–43.

Nugraha, D. W. (2011). Aplikasi algoritma prim untuk menentukan minimum spanning tree suatu graf berbobot dengan menggunakan pemrograman berorientasi objek. Foristek, 1(2).

Nurlinawati Dili, Y., Wulan, E. ., & Ilahi, F. (2021). Penyelesaian Masalah Transportasi untuk Mencari Solusi Optimal dengan Pendekatan Minimum Spanning Tree (MST) Menggunakan Algoritma. Academia.Edu.

Rofiq, N., & Sitio, S. L. M. (2024). Pengenalan Dasar Analisis Data dengan Python di Google Colab.

Ruhimat, Q. A. A., Slamin, S., & Malinda, A. (2024). Efektivitas Algoritma Kruskal dalam Mengoptimalkan Jalur Terpendek pada Jaringan Intranet. Jurnal Sains Natural, 2(3), 59–67.

Sembiring, R. R. (2022). Penerapan Algoritma Prim dalam Menentukan Minimum Spanning Tree (MST)(Studi Kasus: Jaringan Pipa PDAM Tirta Muaro Jambi). Universitas Jambi.

Simbolon, A. F. A. (2021). Aplikasi Minimum Spanning Tree pada Jaringan Listrik dI Desa Simatorkis Kecamatan Dolok Kabupaten Paluta. Unimed.

Situmorang, Y. M., & Mansyur, A. (2023). Pengoptimalan Jaringan Pipa Primer PDAM Tirtanadi Cabang Tuasan Dengan Menggunakan Algoritma Kruskal. Jurnal RIiset Rumpun Matematika Dan Ilmu Pengetahuan Alam, 2(2), 221–237.

Wamiliana, W., Usman, M., Warsito, W., Warsono, W., & Daoud, J. I. (2020). Using Modification of Prim’s Algorithm and Gnu Octave and to Solve the Multiperiods Installation Problem. IIUM Engineering Journal, 21(1), 100–112.

Authors

Euis Sartika
euis.sartika@polban.ac.id (Primary Contact)
Anie Lusiani
Sartika, E., & Lusiani, A. (2026). Perbandingan Algoritma Kruskal dan Prim dalam Menentukan Minimum Spanning Tree untuk Optimasi Jaringan Distribusi Listrik. MUST: Journal of Mathematics Education, Science and Technology, 11(1), 157–171. https://doi.org/10.30651/must.v11i1.28234

Article Details

Similar Articles

1 2 3 > >> 

You may also start an advanced similarity search for this article.