Long-range correlations in vehicular traffic flow studied in the framework of Kerner’s three-phase theory based on rescaled range analysis

摘要: Abstract In this paper, a study on the characteristics of synchronized traffic flow in two-lane case with partial reduced lane based Kerner–Klenov–Wolf (KKW) cellular automaton model framework Kerner’ three-phase theory is reported by using rescaled range analysis. The local fundamental diagram and cross correlation near entry have been analyzed. typical two-dimensional scatter non-correlation between density reveal lane. By analysis (R/S) method to calculate Hurst exponent, we can obtain long-range correlated at bottleneck. We found that larger length bottleneck, higher Hurst’s exponent does as well stronger correlations system. Applying our simulations NaSch model, which cannot reproduce theory, indeed not exhibit for flow.