01099501

Component

https://doi.org/10.3141/2088-17

http://scholar.google.com...hang&publication_year=2008

A variety of macroscopic traffic flow models have been applied to formulate the link-based system optimal dynamic traffic assignment (SO-DTA) problem in a many-to-one network. It is expected that SO-DTA models based on various traffic flow models usually result in different optimal link traffic evolution patterns, but whether and how traffic flow models affect the minimal system cost and the corresponding optimal arrival pattern at the destination is unclear. Three traffic flow models—point-queue, spatial-queue, and cell-transmission—are examined, and their resulted minimal system cost in many-to-one networks is compared. It is proved that for three simple networks—a linear network with two sequential bottlenecks, a two-in–one-out merge network, and a one-in–two-out diverge network—the minimal system costs for the SO-DTA models based on these three traffic flow models are identical. Numerical experiments show that this property appears to be held for general many-to-one networks. The reason may be that all three traffic flow models propagate the uncongested flows at the same speed and release the congested flows always at the link capacity. In SO-DTA applications where only the minimal system cost or arrival pattern at the destination is of major interest, the findings can be utilized to substantially expedite the solution procedure.

01121596

English

pp 157-166

2008

Transportation Research Record: Journal of the Transportation Research Board

9780309126038

Print

Figures (5) ; References (12) ; Tables (2)

Dynamic traffic assignment; Macroscopic traffic flow; Optimization; Traffic congestion; Traffic flow; Traffic models

Arrival patterns

Highways; Operations and Traffic Management; I71: Traffic Theory

TRIS, TRB, ATRI

Jan 29 2008 4:08PM

• Asymptotic Stability and Vehicle Safety in Dynamic Car-Following Platoon
• Calibrating Car-Following Models by Using Trajectory Data: Methodological Study
• Comparison of Simulation-Based and Model-Based Calibrations of Traffic-Flow Microsimulation Models
• Comparisons of Speed–Spacing Relations Under General Car Following Versus Lane Changing
• Desired Speed Distributions on Two-Lane Highways Under Various Conditions
• Empirical Measurement of Freeway Oscillation Characteristics: An International Comparison
• Empirical Study of Behavioral Theory of Traffic Flow: Analysis of Recurrent Bottleneck
• Estimating Acceleration and Lane-Changing Dynamics from Next Generation Simulation Trajectory Data
• Estimating Individual Speed–Spacing Relationship and Assessing Ability of Newell’s Car-Following Model to Reproduce Trajectories
• Evaluation of Corridor Traffic Management and Planning Strategies That Use Microsimulation: A Case Study
• FASTLANE: New Multiclass First-Order Traffic Flow Model
• From Existing Accident-Free Car-Following Models to Colliding Vehicles: Exploration and Assessment
• Lane Selection Model for Urban Intersections
• Macroscopic Modeling Framework Unifying Kinematic Wave Modeling and Three-Phase Traffic Theory
• Microsimulation Calibration Using Speed–Flow Relationships
• Modeling Driver Behavior as Sequential Risk-Taking Task
• New Behavioral Model for Microscopic Freeway Traffic-Flow Simulation
• On-Ramp Metering Based on Three-Phase Traffic Theory Downstream Off-Ramp and Upstream On-Ramp Bottlenecks
• Oversaturated Freeway Flow Algorithm for Use in Next Generation Simulation
• The Less-Than-Perfect Driver: A Model of Collision-Inclusive Car-Following Behavior
• Use of Microsimulation to Model Day-to-Day Variability of Intersection Performance
• Validity of Trajectory-Based Calibration Approach of Car-Following Models in Presence of Measurement Errors