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Mathematics > Optimization and Control

Title: Dynamic Pedestrian Traffic Assignment with Link Transmission Model for Bidirectional Sidewalk Networks

Abstract: Planning assessment of the urban walking infrastructure requires appropriate methodologies that can capture the time-dependent and unique microscopic characteristics of bidirectional pedestrian flow. In this paper, we develop a simulation-based dynamic pedestrian traffic assignment (DPTA) model specifically formulated for walking networks (e.g. sidewalks) with bidirectional links. The model consists of a dynamic user equilibrium (DUE) based route choice and a link transmission model (LTM) for network loading. The formulated DUE adopts a pedestrian volume delay function (pVDF) taking into account the properties of bidirectional pedestrian streams such as self-organization. The adopted LTM uses a three-dimensional triangular bidirectional fundamental diagram as well as a generalized first-order node model. The applicability and validity of the model is demonstrated in hypothetical small networks as well as a real-world large-scale network of sidewalks in Sydney. The model successfully replicates formation and propagation of shockwaves in walking corridors and networks due to bidirectional effects.
Comments: 23 pages, 17 figures, 3 tables
Subjects: Optimization and Control (math.OC); Statistical Mechanics (cond-mat.stat-mech)
DOI: 10.1016/j.trc.2022.103930
Cite as: arXiv:2404.00170 [math.OC]
  (or arXiv:2404.00170v1 [math.OC] for this version)

Submission history

From: Meead Saberi [view email]
[v1] Fri, 29 Mar 2024 21:54:26 GMT (7681kb,D)

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