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Journals / Mühendislik Bilimleri Dergisi / 2007 / Cilt: 13 - Sayı: 2

Mathematical solutions of vehicular delay components at signalized intersections based on approximate calculation method

Yaklaşık hesaplama metodu ile sinyalize kavşaklarda geçikme bileşenlerinin matematiksel çözümü

Halim CEYLAN
Özgür Başkan
HÜSEYİN CEYLAN
SONER HALDENBİLEN
Pages
279–288
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Moreover, signal parameters are significantly differs from the current and Webster signal control.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This study develops approximate mathematical expressions for delay components at signalized intersections.
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Key Findings & Data:The performance indicators for the signalized intersection are determined as an oversaturated and under saturated cases.
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Conclusion & Impact:Moreover, signal parameters are significantly differs from the current and Webster signal control.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

This study develops approximate mathematical expressions for delay components at signalized intersections. Delay components are solved with the coordinate transformation method. The performance indicators for the signalized intersection are determined as an oversaturated and under saturated cases. During the analysis, the steady-state and the deterministic queuing theory are investigated first, and then time-dependent transformation is made. Developed model, called YHM, is applied to an example signalized intersection. Results are compared with the current situation and the Webster method. YHM is improved the intersection performance by about 500 % for this example. Moreover, signal parameters are significantly differs from the current and Webster signal control.

Özet

Bu çalışmada geliştirilen yaklaşık hesaplama metodu (YHM) ile sinyalize kavşaklardaki ortalama taşıt gecikmelerinin bileşenleri, koordinat transformasyon tekniği kullanılarak çözülmüştür. Kavşak performans göstergeleri doygunluk üstü durumlar için iki farklı yaklaşım ile ve doygunluk altı linkler için kuyruk oluşup oluşmaması durumlarına göre incelenmiştir. Yapılan hesaplamalarda, kararlı denge ve deterministik kuyruk irdelenerek zamana bağlı dönüşümler yapılarak yaklaşık matematiksel ifadeler çıkarılmıştır. Geliştirilen YHM örnek sinyalize kavşak üzerine uygulanmış ve YHM’nin performansı mevcut durum ile Webster metoduna göre test edilmiştir. Geliştirilen metot ile seçilen kavşağın ortalama performansının % 500 oranında arttığı bulunmuştur. Ayrıca sinyal parametrelerinin mevcut durum ve Webster sinyal kontrolünden oldukça büyük farklılık gösterdiği belirlenmiştir.

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Cite This Article

CEYLAN, H., Başkan, Ö., CEYLAN, H., HALDENBİLEN, S. (2007). Mathematical solutions of vehicular delay components at signalized intersections based on approximate calculation method. Mühendislik Bilimleri Dergisi, Cilt: 13 - Sayı: 2, 279–288. https://ajindex.com/articles/289127

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