A generalized optimal current lattice model (GOCLM) for traffic flow is proposed to describe the motion of the dynamical traffic flow with a consideration of multi-interaction of the front lattice sites. In order to verify the reasonability of the new model, the stability condition is obtained by the use of linear stability theory. The modified KdV (Korteweg–de Vries) equation is derived by the use of the nonlinear analysis method and the kink-antikink soliton solution is obtained near the critical point. The propagation velocities of density waves are calculated for different numbers of the front interactions. A numerical simulation is carried out to check out the performance of GOCLM for traffic flow. The simulation results show that GOCLM is better than the previous models in suppressing the traffic jams.
The purpose of this paper is to solve the problem that small reservoirs in hilly areas are located according to the terrain characteristics. According to the terrain height difference characteristics in hilly areas, Newton method is proposed to solve this problem, Newton method has basic Newton method and damping Newton method, both of which search in the given search direction, find the extreme value of the function, and construct the search function through Hessian matrix and negative gradient of the function, Calculate the next iteration point. The following iteration point is the initial point. Continue to calculate the next iteration point until the condition of extreme point is met. The iteration point is the extreme point. This method has fast iteration speed and accurate location. The accuracy of Newton’s method is verified by simulation data.
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