Research Article

A Proportional-Switch Adjustment Model towards Mixed Equilibrium with Multiroute Choice Behaviour Criterion

Table 1

Typical day-to-day flow dynamic models.

AuthorsBehaviour criterionStable stateRemarks

Guo et al. [13]UESingle equilibriumA link-based discrete dynamic system model was proposed to depict the rational adjustment process of traffic flow to an equilibrium state
Huang and Lam [23]UESingle equilibriumA route-based day-to-day dynamic system considering the network queuing was formulated to study travellers’ equilibrium path and travel time decision-making behaviour
Peeta and Yang [24]UE/SOSingle equilibriumRoute guidance control strategies and a general procedure for the stability analysis of dynamic traffic assignment problems were developed
He et al. [25]UESingle equilibriumA link-based dynamic traffic flow assignment model was established to depict the traveller’s daily route adjustment behaviour and the evolution process of traffic flow
Liu et al. [26]UESingle equilibriumA traffic flow dynamic model considering the impact of traveller inertia in a bimodal transportation system was investigated
Watling and Hazelton [27]SUESingle equilibriumA mathematical model to simulate the day-to-day dynamic adjustment system and the route selection behaviour made by network travellers based on their travel experiences was described
Ehrgott et al. [28]SUESingle equilibriumAn SUE model based on random utility theory was performed to study the multiobjective problem
Long et al. [29]SOSingle equilibriumA system optimum dynamic traffic assignment model that accommodated the environment objectives was introduced
Hoang et al. [30]SUESingle equilibriumA novel mathematical programming framework was investigated for the information-based stochastic user equilibrium dynamic traffic assignment problem
Huang and Li [43]SUE-SUEMixed equilibriumA multiclass, multicriteria (cost versus time) logit-based traffic equilibrium assignment problem was analysed, which grouped travellers according to their own value of time and further divided travellers with different travel disutility perception variations
Zhang et al. [44]UE-CN-SOMixed equilibriumA multiclass multicriteria mixed equilibrium model that considered travellers’ perceived utility differences was proposed to study the evolution behaviour, and a uniform road toll strategy by utilising the dual theory was developed
Han et al. [45]UE-SUEMixed equilibriumA daily traffic flow dynamic adjustment system was presented under ATIS environment
Zhou et al. [46]UE-SUEMixed equilibriumA discrete dynamic evolution model of traffic flow mixed equilibrium was shown to describe traveller’s multiple route adjustment behaviour with and without ATIS
Delle Site [49]SUE-SUE-SUEMixed equilibriumA mixed user equilibrium model was proposed to form the dynamic day-to-day processes and investigate the impacts of the inertia and the availability of ATIS with differentiated functionalities (predictive and static) on equilibrium travel times

Note: UE: user equilibrium; SO: system optimum; SUE: stochastic user equilibrium; CN: Cournot–Nash equilibrium.