In this paper a state of the art of path choice and traffic assignment models in road emergency conditions is reported. The approaches proposed in literature are classified, distinguishing two approaches for path choice and three approaches for traffic assignment (static, pseudo dynamic and dynamic). In literature, several applications of models in emergency conditions are available: at the beginning models specified in ordinary conditions were applied in emergency conditions. Afterwards, a first generation of models specified in emergency conditions was proposed. After 9/11 and Katrina Hurricane a second generation of emergency conditions models was specified. Evolution of models applied in emergency conditions is presented in this paper: first, models in ordinary conditions are treated; second, models in emergency conditions are treated. In the last ten years several applications of models in emergency conditions have been carried out. Main applications in emergency conditions are summarized in this paper.