| Title | Stochastic noise approach to traffic flow modeling |
| Authors | Alexandros Sopasakis |
| Alternative Location | http://dx.doi.org/10.1016/j..., Restricted Access |
| Publication | Physica. A |
| Year | 2004 |
| Volume | 342 |
| Issue | 3-4 |
| Pages | 741 - 754 |
| Document type | Article |
| Status | Published |
| Quality controlled | Yes |
| Language | eng |
| Publisher | Elsevier |
| Abstract English | Traffic flow states are described as resulting from a stochastically driven system. Vehicles advance based on the energy profile of their surrounding traffic.<br> <br> We create a stochastic process generated from an ergodicity satisfying Markov chain whose system dynamics sample from the Gibbs distribution. Specifically, we employ Arrhenius microscopic dynamics in order to also capture non-equilibrium behavior and monitor the states favored by the system through its time evolution.<br> <br> Monte Carlo simulations of this traffic system provide information and statistics regarding free-flow, “synchronized” traffic, jam wave formation or dissipation, “stop and go” regimes and a variety of interesting such traffic behavior, summarized in, among others, the fundamental diagram. Generalizations to the current model and a number of ideas for further studies are proposed. |
| Keywords | Traffic flow, Stochastic Arrhenius microscopic dynamics, Monte Carlo simulations, |
| ISBN/ISSN/Other | ISSN: 1873-2119 (online) |
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