Nowadays, with the development of society and the progress of material life, ownership of vehicles is on the increase day by day. In order to solve the problem of traffic jam, I design some solutions of roundabouts. For practical purposes and universality, to begin with, I choose conventional non-controlled roundabout with single line to research. The whole model is divided into three submodels. Submodel 1 is a dynamic programming model. According to Wardrop Equation, I get the relationship between roundabout's geometric parameter and maximum traffic volume. The submodel 2 is a roundabout model based on Cellular Automata. With the help of submodel 1, I design a roundabout with optimal geometrical parameter. I assume that the vehicle's arrival obey Poisson distribution with mean λ, and I use the value of λ to represent the number of cars. The total delay time is used to measure the total number of stopping vehicles, which is similar to characterize the performance of the whole roundabout system. Through the research above, I can draw up a conclusion: It is suitable for a smooth road while intersection with signal lights is suitable for a heavy traffic road. As for this model, its innovation is that I bring in Cellular Automaton to make simulation. Therefore, our model is powerful and reliable for various types of different roundabouts' design.
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