Dynamic user-optimal departure time/route choice problem with time-window

A discrete-time predictive dynamic user-optimal departure time/route choice problem has been formulated and solved with the nested diagonalization met hod by Chen and Hsueh (1998a). That model did not impose constraints on eit her origin departure times or destination arrival times, which are typicall y required for regular work trips. For the purpose of better representing p ractical situations, the time-window constraints associated with both depar ture times and arrival times are incorporated into the previous dynamic use r-optimal departure time/route choice model, resulting in a dynamic user-op timal departure time/route choice model with time-window, where the off-pea k and peak phenomena can be properly differentiated within the analysis per iod, and the influence of earlier departures on later arrivals with respect to perceived route disutilities can be appropriately modeled.