A continuous day-to-day traffic assignment model and the existence of a continuous dynamic user equilibrium

1995 ◽  
Vol 60 (1) ◽  
pp. 59-79 ◽  
Author(s):  
M. J. Smith ◽  
M. B. Wisten
Keyword(s):  
Traffic Assignment ◽  
User Equilibrium ◽  
Dynamic User Equilibrium ◽  
Assignment Model ◽  
Continuous Dynamic

Probit-Based Time-Dependent Stochastic User Equilibrium Traffic Assignment Model

2008 ◽  
Vol 2085 (1) ◽  
pp. 86-94 ◽  
Author(s):  
Kuilin Zhang ◽  
Hani S. Mahmassani ◽  
Chung-Cheng Lu
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Spatial Correlation ◽  
Traffic Assignment ◽  
User Equilibrium ◽  
The Other ◽  
Time Dependent ◽  
Stochastic User Equilibrium ◽  
Assignment Model ◽  
Temporal And Spatial

This study presents a time-dependent stochastic user equilibrium (TDSUE) traffic assignment model within a probit-based path choice decision framework that explicitly takes into account temporal and spatial correlation (traveler interactions) in travel disutilities across a set of paths. The TDSUE problem, which aims to find time-dependent SUE path flows, is formulated as a fixed-point problem and solved by a simulation-based method of successive averages algorithm. A mesoscopic traffic simulator is employed to determine (experienced) time-dependent travel disutilities. A time-dependent shortest-path algorithm is applied to generate new paths and augment a grand path set. Two vehicle-based implementation techniques are proposed and compared in order to show their impact on solution quality and computational efficiency. One uses the classical Monte Carlo simulation approach to explicitly compute path choice probabilities, and the other determines probabilities by sampling vehicles’ path travel costs from an assumed perception error distribution (also using a Monte Carlo simulation process). Moreover, two types of variance-covariance error structures are discussed: one considers temporal and spatial path choice correlation (due to path overlapping) in terms of aggregated path travel times, and the other uses experienced (or empirical) path travel times from a sample of individual vehicle trajectories. A set of numerical experiments are conducted to investigate the convergence pattern of the solution algorithms and to examine the impact of temporal and spatial correlation on path choice behavior.

scholarly journals A Continuous Dynamic Traffic Assignment Model from Plate Scanning Technique

2016 ◽  
Vol 18 ◽  
pp. 332-340 ◽  
Author(s):  
Ana Rivas ◽  
Inmaculada Gallego ◽  
Santos Sánchez-Cambronero ◽  
Rosa M. Barba ◽  
Lidia Ruiz-Ripoll
Keyword(s):  
Traffic Assignment ◽  
Dynamic Traffic Assignment ◽  
Dynamic Traffic ◽  
Assignment Model ◽  
Scanning Technique ◽  
Continuous Dynamic

scholarly journals Dynamic User Equilibrium of Mobility-on-Demand System with Linear Programming Rebalancing Strategy

2019 ◽  
Vol 2673 (1) ◽  
pp. 447-459 ◽  
Author(s):  
Rongsheng Chen ◽  
Michael W. Levin
Keyword(s):  
Traffic Congestion ◽  
Traffic Assignment ◽  
Dynamic Traffic Assignment ◽  
User Equilibrium ◽  
Dynamic Traffic ◽  
Dynamic User Equilibrium ◽  
Total Delay ◽  
Fleet Size ◽  
Travel Costs ◽  
On Demand

Mobility-on-demand (MoD) services are provided by multiple competing companies. In their competition for travelers, they need to provide minimum travel costs, or travelers will switch to competitors. This study developed a dynamic traffic assignment of MoD systems. A static traffic assignment (STA) model is first defined. When demand is asymmetric, empty rebalancing trips are required to move vehicles to traveler origins, and the optimal rebalancing flows are found by a linear program. Because of the time-dependent nature of traveler demand, the model was converted to dynamic traffic assignment (DTA). The method of successive averages, which is provably convergent for STA, was used to find dynamic user equilibrium (DUE). The simulation was conducted on two networks. The MoD system was simulated with different fleet sizes and demands. The results showed that the average total delay and travel distance decreased with the increase in fleet size whereas the average on-road travel time increased with the fleet size. The result of traffic assignment of one network with MoD system was compared with a network where all travelers use private vehicles. The results showed that the network with MoD system created more trips but less traffic congestion.

STUDY ON USER EQUILIBRIUM TRAFFIC ASSIGNMENT MODEL CONSIDERING STOCHASTIC ROUTE CHOICE ON EXPRESSWAY NETWORK

2011 ◽  
Vol 67 (5) ◽  
pp. 67_I_779-67_I_786
Author(s):  
Shin-ichi INOUE ◽  
Shuichi YAMAGUCHI ◽  
Yusuke SUZUKI ◽  
Takuya MARUYAMA ◽  
Hirohisa MORITA
Keyword(s):  
Traffic Assignment ◽  
Route Choice ◽  
User Equilibrium ◽  
Assignment Model

Modeling User Equilibrium in Microscopic Transportation Simulation

2013 ◽  
Author(s):  
Liang-Chieh (Victor) Cheng ◽  
Heng Wang
Keyword(s):  
Equilibrium State ◽  
Traffic Assignment ◽  
Dynamic Traffic Assignment ◽  
User Equilibrium ◽  
Microscopic Model ◽  
Dynamic Traffic ◽  
Dynamic User Equilibrium ◽  
Equilibrium Study ◽  
Assignment Method ◽  
Transportation Simulation

User equilibrium refers to the network-wide state where individual travelers cannot gain improvement by unilaterally changing their behaviors. The Wardropian Equilibrium has been the focus of a transportation equilibrium study. This paper modifies the dynamic traffic assignment method through utilizing the TRANSIMS system to reach the dynamic user equilibrium state in a microscopic model. The focus of research is developing three heuristics in a Routing-Microsimulation-Equilibrating order for reaching system-wide equilibrium while simultaneously minimizing the computing burden and execution. The heuristics are implemented to a TRANSIMS model to simulate a subarea of Houston, TX.

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