An analysis of vehicular traffic flow using langevin equation Langevin denklemi kullanilarak araç trafik akişinin analizi


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Koşun Ç., Çelik H. M., Özdemir S.

Promet - Traffic and Transportation, cilt.27, sa.4, ss.317-324, 2015 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 27 Sayı: 4
  • Basım Tarihi: 2015
  • Doi Numarası: 10.7307/ptt.v27i4.1613
  • Dergi Adı: Promet - Traffic and Transportation
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.317-324
  • Anahtar Kelimeler: Brownian motion, Diffusion, Drift, Langevin equation, Stochastic forces, Traffic dynamics, Traffic flow, Traffic regimes
  • İstanbul Gelişim Üniversitesi Adresli: Hayır

Özet

Traffic flow data are stochastic in nature, and an abundance of literature exists thereof. One way to express stochastic data is the Langevin equation. Langevin equation consists of two parts. The first part is known as the deterministic drift term, the other as the stochastic diffusion term. Langevin equation does not only help derive the deterministic and random terms of the selected portion of the city of Istanbul traffic empirically, but also sheds light on the underlying dynamics of the flow. Drift diagrams have shown that slow lane tends to get congested faster when vehicle speeds attain a value of 25 km/h, and it is 20 km/h for the fast lane. Three or four distinct regimes may be discriminated again from the drift diagrams; congested, intermediate, and free-flow regimes. At places, even the intermediate regime may be divided in two, often with readiness to congestion. This has revealed the fact that for the selected portion of the highway, there are two main states of flow, namely, congestion and free-flow, with an intermediate state where the noise-driven traffic flow forces the flow into either of the distinct regimes.