Abstract:
The optimal current difference lattice hydrodynamic model is extended to investigate the traffic flow dynamics on a unidirectional single lane gradient highway. The effect of slope on uphill/downhill highway is examined
through linear stability analysis and shown that the slope significantly affects the stability region on the phase diagram.
Using nonlinear stability analysis, the Burgers, Korteweg-deVries (KdV) and modified Korteweg-deVries (mKdV) equations are derived in stable, metastable and unstable region, respectively. The effect of reaction coefficient is examined
and concluded that it plays an important role in suppressing the traffic jams on a gradient highway. The theoretical
findings have been verified through numerical simulation which confirm that the slope on a gradient highway significantly
influence the traffic dynamics and traffic jam can be suppressed efficiently by considering the optimal current difference
effect in the new lattice model.
