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In the first part of this talk, we briefly review the ultradiscretization (UD) method and show how it works well in the analysis of traffic models including the ultradiscrete Burgers equation.After that, we propose the stochastic Fukui-Ishibashi model, which is the higher velocity extension of the stochastic ultradiscrete Burgers equation, and analyze the relation between density and flow of traffics using the two cluster approximation.