User Equilibrium in a Bottleneck under Multipeak Distribution of Preferred Arrival Time
Year: 2009
Type: article
Abstract: The pattern of departure times at a single bottleneck is studied under general heterogeneous preferred arrival times. Three main outputs are delivered. First, the existence of equilibrium is proved without the classical S-shape assumption of the preferred arrival time distribution–that is, that demand, represented by the flow rate of preferred arrival times, may exceed bottleneck capacity only on one peak interval. Second, a generic algorithm is given to solve the equilibrium problem for departure time choice. Finally, the graphical approach that pervades the algorithm provides insight into the structure of the queued periods, especially by characterizing the critical instants at which the entry flow switches from a loading rate (overcapacity) to an unloading rate (undercapacity) and vice versa. Numerical illustration is given.
DOI: 10.3141/2091-04
Authors: Fabien Leurent, Nicolas Wagner
Language: English
Subfield: Transportation
Field: Social Sciences
Domain: Social Sciences
Open Access status: green
OpenAlex ID: W1974889714