Dynamic user optimal assignment with physical queues for a many-to-many OD pattern

Masao Kuwahara and Takashi Akamatsu

Transportation Research Part B: Methodological, 2001, vol. 35, issue 5, 461-479

Abstract: This research extends the dynamic user optimal assignment under the point queue concept so as to deal with physical queues. Given time-dependent many-to-many OD volumes, this paper first shows the formulation of the assignment subject to the flow conservation and the first-in-first-out (FIFO) queue discipline. The optimal condition is then defined and the physical queue propagation based on the kinematic wave theory is discussed. Finally, a solution algorithm is proposed and typical differences between point and physical queue analyses are presented through an example calculation.

Date: 2001
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