 Dynamical capacity drop in a nonlinear stochastic traffic modelWei-Liang Qian, Adriano F. Siqueira, Romuel F. Machado, Kai Lin and Ted W. Grant Transportation Research Part B: Methodological, 2017, vol. 105, issue C, 328-339 Abstract: In this work, we show that the inverse-λ shape in the fundamental diagram of traffic flow can be produced dynamically by a simple nonlinear mesoscopic model with stochastic noises. The proposed model is based on the gas-kinetic theory of the traffic system. In our approach, the nonlinearity leads to the coexistence of different traffic states. The scattering of the data is thus attributed to the noise terms introduced in the stochastic differential equations and the transition among the various traffic states. Most importantly, the observed inverse-λ shape and the associated sudden jump of physical quantities arise due to the effect of stochastic noises on the stability of the system. The model parameters are calibrated, and a qualitative agreement is obtained between the data and the numerical simulations. Date: 2017 Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:transb:v:105:y:2017:i:c:p:328-339 Ordering information: This journal article can be ordered from DOI: 10.1016/j.trb.2017.09.017 Access Statistics for this article Transportation Research Part B: Methodological is currently edited by Fred Mannering More articles in Transportation Research Part B: Methodological from Elsevier |
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