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Title: A superstatistical model of vehicular traffic flow
Authors: Koşun, Çağlar
Özdemir, Serhan
Koşun, Çağlar
Özdemir, Serhan
Izmir Institute of Technology. City and Regional Planning
Keywords: Highway traffic
Inverse local variance
Vehicle speeds
Traffic control
Issue Date: 15-Feb-2016
Publisher: Elsevier Ltd.
Source: Koşun, Ç., and Özdemir, S. (2016). A superstatistical model of vehicular traffic flow. Physica A: Statistical Mechanics and its Applications, 444, 466-475. doi:10.1016/j.physa.2015.10.042
Abstract: In the analysis of vehicular traffic flow, a myriad of techniques have been implemented. In this study, superstatistics is used in modeling the traffic flow on a highway segment. Traffic variables such as vehicular speeds, volume, and headway were collected for three days. For the superstatistical approach, at least two distinct time scales must exist, so that a superposition of nonequilibrium systems assumption could hold. When the slow dynamics of the vehicle speeds exhibit a Gaussian distribution in between the fluctuations of the system at large, one speaks of a relaxation to a local equilibrium. These Gaussian distributions are found with corresponding standard deviations 1/β. This translates into a series of fluctuating beta values, hence the statistics of statistics, superstatistics. The traffic flow model has generated an inverse temperature parameter (beta) distribution as well as the speed distribution. This beta distribution has shown that the fluctuations in beta are distributed with respect to a chi-square distribution. It must be mentioned that two distinct Tsallis q values are specified: one is time-dependent and the other is independent. A ramification of these q values is that the highway segment and the traffic flow generate separate characteristics. This highway segment in question is not only nonadditive in nature, but a nonequilibrium driven system, with frequent relaxations to a Gaussian.
ISSN: 0378-4371
Appears in Collections:City and Regional Planning / Şehir ve Bölge Planlama
Mechanical Engineering / Makina Mühendisliği
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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