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“…In this paper, the dynamic user equilibrium (DUE) assignment is an extension of the user equilibrium assignment (for further details, see Ran and Boyce [25]; Chen [41]; Kuwahara and Akamatsu [13]; Akamatsu [42]; Akamatsu and Kuwahara [43]). Under the user equilibrium condition, for any OD pairs at time t, if the volume of a path is not zero, the actual travel time of the path must equal to the minimal actual travel time of the paths connecting the OD pair; otherwise, the actual travel time of the path is greater than the minimal.…”
Section: Dynamic User Equilibriummentioning
“…As shown in the literature (see, for example, Kuwahara and Akamatsu (1993), Akamatsu and Kuwahara (1994)), the FIFO condition for each link can be written as…”
Section: B) First-in-first-out Conditions On Each Link:mentioning