MES: Journal of Mathematics Education and Science
Vol 10, No 2 (2025): Edisi April

PENERAPAN TEORI GRAF PADA PERANCANGAN JALUR INSTALASI LISTRIK RUMAH SEDERHANA UNTUK OPTIMISASI PANJANG KABEL

Dian Yulis Wulandari (Universitas Pembangunan Panca Budi, Medan, Sumatera Utara, Indonesia, 20122)



Article Info

Publish Date
25 Jun 2026

Abstract

Electrical installations in houses often experience cable waste due to suboptimal planning. This research applies graph theory with the Minimum Spanning Tree (Prim) algorithm to optimize electrical installation design in type 36 houses. The system is modeled as a weighted graph with vertices representing load points and edges representing cable routes. Results show the conventional method requires 31.50 meters of cable, while Prim's algorithm produces only 21.07 meters, achieving 33.11% savings (10.43 meters). The resulting network structure is acyclic and simpler, making it easier to implement and maintain. The design has been validated according to PUIL 2000 and SNI 04-6989.5-2000 standards. This research provides a systematic methodology for designing efficient, safe, and cost-effective electrical installations applicable to the residential construction industry.

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Journal Info

Abbrev

mesuisu

Publisher

Subject

Mathematics

Description

MES (Journal of Mathematics Education and Science) diterbitkan secara berkala pada bulan April dan Oktober oleh Program Studi Pendidikan Matematika FKIP Universitas Islam Sumatera Utara. Jurnal ini membahas tentang kajian dibidang pendidikan matematika, pembelajaran matematika berbasis ICT dan ...