Highlights ► Complementarity formulations for the average travel time and maximum travel time estimations. ► Complementarity problem formulations of the dynamic user equilibrium problem. ► Solution existence of the complementarity formulations. ► Extensive numerical experiments to demonstrate the theoretical analysis.
Abstract In this paper we formulate the dynamic user equilibrium problem with an embedded cell transmission model on a network with a single OD pair, multiple parallel paths, multiple user classes with elastic demand. The formulation is based on ideas from complementarity theory. The travel time is estimated based on two methods which have different transportation applications: (1) maximum travel time and (2) average travel time. These travel time functions result in linear and non-linear complementarity formulations respectively. Solution existence and the properties of the formulations are rigorously analyzed. Extensive computational experiments are conducted to demonstrate the benefits of the proposed formulations on various test networks.
Complementarity formulations for the cell transmission model based dynamic user equilibrium with departure time choice, elastic demand and user heterogeneity
Transportation Research Part B: Methodological ; 45 , 10 ; 1749-1767
2011-07-14
19 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
Discrete-Time Dynamic User-Optimal Departure Time-Route Choice Model
Online Contents | 1998
|Existence of simultaneous route and departure choice dynamic user equilibrium
Online Contents | 2013
|