Impact of the traffic interruption probability of optimal current on traffic congestion in lattice model

• A new lattice model is proposed by incorporating the traffic interruption probability of optimal current.
• The interruption probability can efficiently suppress traffic jams under high response coefficient.
• The mKdV equation is affected by the traffic interruption probability.
• The traffic interruption factor can improve the stability of traffic flow with more attention to traffic interruption incident.

In this paper, a new lattice model is proposed with the consideration of the traffic interruption probability of the optimal current. The linear stability condition is obtained by linear stability analysis and the mKdV equation is deducted from nonlinear analysis via considering the traffic interruption probability of the optimal current, respectively. The results of numerical simulation show that the traffic interruption probability of the optimal current can efficiently suppress traffic jams under high response coefficient and deteriorate traffic situations under low response coefficient.