Unisda Journal of Mathematics and Computer Science (UJMC)
Vol 11 No 2 (2025): Unisda Journal of Mathematics and Computer Science

Penentuan Fase dan Waktu Siklus Optimum Simpang Bersinyal dengan Graf Kompatibel dan Webster Modifikasi (Studi Kasus: Persimpangan Sokaraja, Banyumas)

Dian Pratama (Universitas Nahdlatul Ulama Purwokerto)
Kukuh Rahayu (Universitas Nahdlatul Ulama Purwokerto)
Ambar Winarni (Universitas Nahdlatul Ulama Purwokerto)



Article Info

Publish Date
31 Dec 2025

Abstract

Traffic congestion at signalized intersections can be reduced through proper signal timing. This study aims to optimize traffic-signal settings at the Sokaraja intersection, Banyumas Regency, using a directed compatibility graph and a modified Webster method. Primary data collected from October 2025 to Desember 2025 include intersection geometry (approach widths), existing signal timings, and traffic volumes (heavy vehicles, light vehicles, and motorcycles) observed over two weeks during morning, midday, and afternoon periods. Traffic movements were modeled using a directed compatibility graph to identify non-conflicting movements that can run simultaneously; weighting based on approach width and traffic volume was then used to form phases and allocate green splits. The modified Webster calculation yields an optimal cycle length of 149 s for the maximum-demand condition (and 35 s for the minimum-demand condition). Compared with field timings (e.g., red/green 117/70 s on Jl Jendral Soedirman and 137/22 s on Jl Ajibarang–Secang), the recommended timings under maximum demand are 50/86 s and 81/54 s, respectively. Effectiveness evaluation indicates that the red intervals on Jl Jendral Soedirman and Jl Ajibarang–Secang are longer than required, while the other approaches are closer to the optimized settings. These results provide a practical basis for signal retiming and for developing more adaptive control at the Sokaraja intersection.

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Journal Info

Abbrev

ujmc

Publisher

Subject

Computer Science & IT Education Mathematics

Description

Unisda Journal of Mathematics and Computational Science (UJMC) is a research journal published by Mathematics Department of Mathematics and Natural Sciences Unisda Lamongan with the scope of pure mathematics, applied science, education, ...