2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/168607We propose a discrete traffic flow model with discrete time. Continuum limit of this model is equivalent to the optimal velocity model. It has also an ultradiscrete limit and a piecewise-linear type of traffic flow model is obtained. Both models show phase transition from free flow to jam in a fundamental diagram. Moreover, the ultradiscrete model includes the Fukui-Ishibashi model in a special case.6pages, 8 figuresAdaptation and Self-Organizing SystemsStatistical Mechanicstext