An extended lattice model accounting for traffic jerk

Poonam Redhu and Vikash Siwach

Physica A: Statistical Mechanics and its Applications, 2018, vol. 492, issue C, 1473-1480

Abstract: In this paper, a flux difference lattice hydrodynamics model is extended by considering the traffic jerk effect which comes due to vehicular motion of non-motor automobiles. The effect of traffic jerk has been examined through linear stability analysis and shown that it can significantly enlarge the unstable region on the phase diagram. To describe the phase transition of traffic flow, mKdV equation near the critical point is derived through nonlinear stability analysis. The theoretical findings have been verified using numerical simulation which confirms that the jerk parameter plays an important role in stabilizing the traffic jam efficiently in sensing the flux difference of leading sites.

Keywords: Traffic flow; Traffic jerk; Lattice; Flux difference (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (10)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:492:y:2018:i:c:p:1473-1480

DOI: 10.1016/j.physa.2017.11.074

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