Traffic jam transition for a delayed flux compensation lattice model with density rate control against information interaction failure

In intelligent transportation system, communication of vehicle-to-vehicle or vehicle-to- infrastructure plays a key role in sharing real-time traffic data. However, this process is susceptible to interruption, which can hinder the timely acquisition of traffic information from the upstream road. To address this issue, this paper proposed a delayed flux compensation lattice model with density rate control strategy under traffic information interaction failure situation. For the new model, when traffic information interaction is interrupted with a probability, a delayed flux compensation method and a density rate control strategy are introduced jointly to mitigate the influence of traffic information interaction failure on traffic flow. Linear stability analysis is conducted to derive the linear stability condition of the new model, and the results reveal that both the delayed flux compensation method and the density rate control strategy can expand the stable region of the model in the sensitivity-density phase diagram. In addition, nonlinear stability analysis leads to the derivation of the modified Korteweg-de Vries (mKdV) equation to describe the evolution characteristics of unstable density wave. Finally, Numerical simulations validate the accuracy of the theoretical analyses and demonstrate that the delayed flux compensation mechanism and the density rate control strategy can effectively suppress traffic jam caused by information interaction failure.