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All Journal Pythagoras: Jurnal Matematika dan Pendidikan Matematika SITEKIN: Jurnal Sains, Teknologi dan Industri AlphaMath: Journal of Mathematics Education Unisda Journal of Mathematics and Computer Science (UJMC) Abdimas Dewantara Communication in Biomathematical Sciences M A T H L I N E : Jurnal Matematika dan Pendidikan Matematika Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika Square : Journal of Mathematics and Mathematics Education Arithmetic : Academic Journal of Math Range : Jurnal Pendidikan Matematika Madaniya Jurnal PEKA (Pendidikan Matematika) Journal of Science and Technology Literasi: Jurnal Pengabdian Masyarakat dan Inovasi International Journal of Research in Mathematics Education
Ambar Winarni
Universitas Nahdaltul Ulama Purwokerto
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Penentuan Fase dan Waktu Siklus Optimum Simpang Bersinyal dengan Graf Kompatibel dan Webster Modifikasi (Studi Kasus: Persimpangan Sokaraja, Banyumas) Dian Pratama; Kukuh Rahayu; Ambar Winarni
UJMC (Unisda Journal of Mathematics and Computer Science) Vol 11 No 2 (2025): Unisda Journal of Mathematics and Computer Science
Publisher : Mathematics Department, Faculty of Sciences and Technology Unisda Lamongan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.52166/ujmc.v11i2.12058

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.
Co-Authors Afifah Hayati Azhary Ramadhanty Baehaqi Dancent Sutanto Dian Mustikasari Dian Pratama Dwiani Listya Kartika Dwiani Listya Kartika, Dwiani Listya Eduardus Axel Wijaya Faizah, Shafira Zakiatul Harini, Lusi Hilda Fahlena Hufron, Ali Jane T. M. Sahetapy-Engel Kukuh Rahayu Muhassanah, Nur'aini Muhassanah, Nur’aini noor Sofiyati Nur'aini Muhassanah Nuraini Muhassanah Nur’aini Muhassanah Ramadhanty, Azhary Rudatiningtyas, Ulfa Fadilla Sahetapy-Engel, Jane T. M. Sofiyati, noor Sutanto, Dancent Wijaya, Eduardus Axel