Modelling traffic flow fluctuations
| dc.creator | Wagner, Peter | |
| dc.date | 2004-11-02 | |
| dc.date.accessioned | 2026-07-07T03:01:51Z | |
| dc.date.available | 2026-07-07T03:01:51Z | |
| dc.description | By analyzing empirical time headway distributions of traffic flow, a hypothesis about the underlying stochastic process can be drawn. The results found lead to the assumption that the headways $T_i$ of individual vehicles follow a linear stochastic process with multiplicative noise, $\dot T_i = α(m_T - T_i) + D T_iξ$. The resulting stationary distribution has a power-law tail, especially for densities where cars are interacting strongly. Analyzing additionally the headways for accelerating and decelerating cars, the slow-to-start effect proposed as a mechanism for traffic jam stability can be demonstrated explicitly. Finally, the standard deviation of the speed differences between following cars can be used to get a clear characterization of (at least) three different regimes of traffic flow that can be identified in the data. Using the empirical results to enhance a microscopic traffic flow model, it can be demonstrated that such a model describes the fluctuations of traffic flow quite satisfactorily. | |
| dc.description | 11 pages, 12 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0411066 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0411066 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/25196 | |
| dc.subject | Other Condensed Matter | |
| dc.title | Modelling traffic flow fluctuations | |
| dc.type | text |