  Motivated by the traffic flow model with Arrhenius look-ahead relaxation
dynamics introduced in [A. Sopasakis and M.A. Katsoulakis, SIAM J. Appl. Math.,
66 (2006), p. 921--944], this paper proposes a traffic flow model with look
ahead relaxation-behind intensification by inserting look behind
intensification dynamics to the flux. Finite time shock formation conditions in
the proposed model with various types of interaction potentials are identified.
Several numerical experiments are performed in order to demonstrate the
performance of the modified model. It is observed that, compare to other
well-known traffic flow models, the model equipped with look ahead
relaxation-behind intensification has both enhanced dispersive and smoothing
effects
