“…For each of them, the chosen variables depend on the geometric model used to define the layout: within the horizontal alignment it is possible to consider, only main axes (Lee et al., ), axes and circular curves (Hirpa et al., ; Mondal et al., ; Jong and Schonfeld, ; Shafahi and Bagherian, ), or axes, circular curves, and transition curves (Casal et al., ; Kang et al., ); within the vertical alignment, vertical curves may be considered (Jong and Schonfeld, ; Shafahi and Bagherian, ), or may not (Hirpa et al., ). In addition, both the horizontal and vertical transition curves can be modeled differently (Bosurgi and D'Andrea, ; Kobryń, ), which also leads to distinct design variables.…”