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Equilibrium analyses of transportation networks are by their nature “static,” with equilibrium configuration defined as “fixed” or “autoreflexive” points, i.e. flow patterns reproducing themselves on the basis of the assumptions made on users' behavior once reached by the system. In this paper it is argued that no transportation system remains in the same state over successive periods because of the action of several causes (e.g. temporal fluctuation of level and composition of demand, users' choices, and travel costs). This implies that the sequence of states occupied by the system over successive epochs or times of similar characteristics (e.g. am peak hour of working days) is the realization of a stochastic process, the type of which depends on, among other things, the choice mechanism followed by travelers. Stationarity of the stochastic process within fixed potential demand and network structures is considered to be …