In this paper, the effect of urban road traffic capacity with lane occupied is studied. Firstly, we will calculate the actual traffic capacity and build a mathematical model. Secondly, using the above mathematical model, the relationship between vehicle queue length and the various factors is analyzed. Lastly, thought of the principles to the reservoir water, we obtain a periodic function of changes in traffic flow, and calculate the optimal time of the vehicle queue length to the upstream intersection.

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In this paper, we propose two modified conjugate gradient methods, which produce sufficient descent direction at every iteration. The theoretical analysis shows that the algorithms are global convergence under some suitable conditions. The numerical results show that both algorithms are efficient for the given test problems from the Matlab library.