Formulations of extended logit stochastic user equilibrium assignments

In the transportation literature, the "logit assignment" stands for a stoch astic user equilibrium model in which the multinomial legit is the route ch oice model. Efficient algorithms using this mathematical formulation were p roposed to solve the legit assignment. However, the use of the legit functi on for route choice has some theoretical drawbacks. Recently, extended legi t-base models were proposed to overcome the overlapping problem, while keep ing the analytical tractability of the legit function. The purpose of this paper is to present new stochastic user equilibrium formulations. The paper shows how two extended legit models - such as the Cross-Nested Legit and t he Paired Combinatorial Legit, can be derived from more general entropy-typ e formulations, and thus allowing the use of existing land yet under develo pment) algorithmic solutions for the more general legit-family stochastic a ssignment model. The paper also shows how the general stochastic user equil ibrium formulation can be adapted for the new route choice models.