Original scientific paper
https://doi.org/10.7307/ptt.v33i3.3515
Link Travel Time Estimation in Double-Queue-Based Traffic Models
Xia Yang
; Tongji University, College of Transportation Engineering, Shanghai, China
Rui Ma
; University of Alabama in Huntsville, Huntsville, AL, USA
Peng Yang
; Hunan University of Finance and Economics, Changsha, Hunan, China
Xuegang Jeff Ban
; University of Washington, Seattle, WA
Abstract
Double queue concept has gained its popularity in dynamic user equilibrium (DUE) modeling because it can properly model real traffic dynamics. While directly solving such double-queue-based DUE problems is extremely challenging, an approximation scheme called first-order approximation was proposed to simplify the link travel time estimation of DUE problems in a recent study without evaluating its properties and performance. This paper focuses on directly investigating the First-In-First-Out property and the performance of the first-order approximation in link travel time estimation by designing and modeling dynamic network loading (DNL) on single-line stretch networks. After model formulation, we analyze the First-In-First-Out (FIFO) property of the first-order approximation. Then a series of numerical experiments is conducted to demonstrate the FIFO property of the first-order approximation, and to compare its performance with those using the second-order approximation, a point queue model, and the cumulative inflow and exit flow curves. The numerical results show that the first-order approximation does not guarantee FIFO and also suggest that the second-order approximation is recommended especially when the link exit flow is increasing. The study provides guidance for further study on proposing new methods to better estimate link travel times.
Keywords
double queue model; dynamic user equilibrium; dynamic network loading; travel time estimation; first-in-first-out (FIFO)
Hrčak ID:
270896
URI
Publication date:
4.6.2021.
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