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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.
Analisis Klaster dan Prediksi Dinamika Produksi Padi Sawah menggunakan K-Means dan Adams-Bashforth-Moulton di Kabupaten Banyumas Wisnu; Winarni, Ambar; Hayati, Istifada Nurul
Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika Vol. 9 No. 1 (2026): Volume 9 Nomor 1 Tahun 2026
Publisher : Universitas Cokroaminoto Palopo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30605/proximal.v9i1.8065

Abstract

This study aims to classify rice-farming areas in Banyumas Regency based on differences in rice production characteristics between regions that have the potential to influence rice production planning and distribution. This study was conducted to support food security in line with Indonesia's national development vision for 2045. The data used included rice production volume and rice field area. Cluster analysis was performed using the K-Means method with the determination of the optimal number of clusters through the Elbow method, resulting in three regional clusters, namely low, medium, and high rice production clusters, which reflect the differences in rice production characteristics between subdistricts in Banyumas Regency. Rice production dynamics were modeled using the Verhulst growth model, which was solved numerically using the fourth-order Runge Kutta method, followed by the Adams-Bashforth-Moulton method to predict rice production. Predictions were made for 2025, 2030, and 2045 to illustrate rice production trends over several time periods. The main analysis of this study focused on the period up to 2030 because the model did not include several important external factors that could potentially affect rice production in the long term. The error analysis results showed that the error values in the predictions for the 2025 and 2030 periods were relatively small, indicating that the model was able to represent rice production dynamics well during those periods. Predictions up to 2045 are presented as a mathematical illustration of long-term trends and are not used as the main basis for error evaluation or drawing conclusions. The results of this study are expected to be used as preliminary considerations for local governments in formulating rice production plans, taking into account the different characteristics of regional clusters and the predicted rice production in Banyumas Regency.