Asymmetric Multiclass Traffic Assignment: A coherent formulation Philippe Toint Laura Wynter Report 95/13 Behavioural and mathematical problems in the current formulation of the asymmetric multiclass traffic assignment model are brought to light. A new formulation is presented that resolves these difficulties. The formulation is quantified, and the result is a general class of coherent, multiclass cost functions. A numerical calibration exercise for a car and truck class model concludes the paper.