A rigorous multi-population multi-lane hybrid traffic model for dissipation of waves via autonomous vehicles

In this paper, a multi-lane multi-population microscopic model, which presents stop and go waves, is proposed to simulate traffic on ring-road. Vehicles are divided between human-driven autonomous vehicles (AV). Control strategies designed with the ultimate goal of using small number AVs (less than 5\% penetration rate) represent Lagrangian control actuators that can smooth multilane flow dissipate stop-and-go waves. This in turn may reduce fuel consumption emissions. The lane-changing mechanism based three components we treat as parameters model: safety, incentive cool-down time. choice these lane-change critical modeling accurately, because different parameter values lead drastically behaviors. particular, lane-changes speed variance highly affected by parameters. Despite issue, when sufficiently simple robust controllers for AVs, stabilization uniform steady-state effective any realistic value parameters, ultimately bypasses observed issue. Our approach accurate rigorous mathematical models, allows limit procedure termed, gas dynamic terminology, mean-field. words, from increasing population infinity, system coupled ordinary partial differential equations obtained. Moreover, problems also pass limit, allowing design be tackled at scales.