In order to improve a complex traffic environment of multi-lane, variable road conditions and variable traffic
flows, a new model is established by using multi-delay kinetic system approach, which can describe the behavior for the
interactions of before and after multi-time period for the road traffic flow. The simulation results show that the proposed
model can describe the real traffic flow changes, and to the control traffic flow and the analysis of the transportation systems,
the model has real applications in deal with multi-lane traffic flows in the practice.