… User-equilibrium (UE) static deterministic traffic assignment is … conditions. One way to resolve
this dilemma is by imposing an additional condition, such as the condition of proportionality…

… that satisfies the proportionality condition from a given origin-based user equilibrium (UE) link
… solution that perfectly satisfies the proportionality condition in general networks. Numerical …

… UE condition in the absence of the condition of proportionality and route set consistency. In
this paper, TAPAS is applied to obtain proportional UE … to the condition of proportionality are …

… condition mentioned earlier. To avoid confusion, hereafter we shall refer to the PAS-based
proportionality condition as the order-2 proportionality (O2P) condition, to follow the …

… of UE traffic assignment and proportionality in UE traffic … algorithm is applied to obtain
proportional UE route flows for … to the condition of proportionality and the UE condition are …

… of large numbers, p gives the proportion of the travelers from each OD pair selecting each
route connecting that OD pair. We define a user equilibrium route choice strategy of the routing …

… Here an important role is played by proportionality conditions. … of proportionality and to
obtain an “exact” set of (proportionality) conditions which determine the user equilibrium route …

… Essentially, it is showed, for a given solution of the network equilibrium link flows, that
maximizing the entropy of the path flows is a sufficient condition for the proportionality property. …

… In this study, when analyzing the short-term traffic equilibrium under the condition of traffic
… restricted area and restricted proportion. Then, traffic equilibrium assignment model is …

… It remains an open question, however, whether or not the proportionality assumption accords
to … selected UE route flow, regardless of the realism of behavior implied by proportionality. …