scholarly journals How can macroscopic models reveal self-organization in traffic flow?

2012 ◽  
Author(s):  
Emiliano Cristiani ◽  
Benedetto Piccoli ◽  
Andrea Tosin
Keyword(s):  
Traffic Flow ◽  
Self Organization ◽  
Macroscopic Models

Self-Organization in Four-Direction Traffic-Flow Model

2000 ◽  
Vol 69 (11) ◽  
pp. 3744-3751 ◽  
Author(s):  
Yasushi Honda ◽  
Tsuyoshi Horiguchi
Keyword(s):  
Traffic Flow ◽  
Flow Model ◽  
Self Organization ◽  
Traffic Flow Model

scholarly journals Self-organization and a dynamical transition in traffic-flow models

1992 ◽  
Vol 46 (10) ◽  
pp. R6124-R6127 ◽  
Author(s):  
Ofer Biham ◽  
A. Alan Middleton ◽  
Dov Levine
Keyword(s):  
Traffic Flow ◽  
Self Organization ◽  
Dynamical Transition ◽  
Flow Models ◽  
Traffic Flow Models

scholarly journals Toward the Formalization of Macroscopic Models of Traffic Flow Using Higher-Order-Logic Theorem Proving

IEEE Access ◽  
2020 ◽  
Vol 8 ◽  
pp. 27291-27307
Author(s):  
Adnan Rashid ◽  
Muhammad Umair ◽  
Osman Hasan ◽  
Mohamed H. Zaki
Keyword(s):  
Traffic Flow ◽  
Theorem Proving ◽  
Higher Order ◽  
Order Logic ◽  
Higher Order Logic ◽  
Macroscopic Models

COUPLING TRAFFIC FLOW NETWORKS TO PEDESTRIAN MOTION

2013 ◽  
Vol 24 (02) ◽  
pp. 359-380 ◽  
Author(s):  
R. BORSCHE ◽  
A. KLAR ◽  
S. KÜHN ◽  
A. MEURER
Keyword(s):  
Traffic Flow ◽  
Pedestrian Flow ◽  
Flow Networks ◽  
Macroscopic Models ◽  
Richards Model

In this paper scalar macroscopic models for traffic and pedestrian flows are coupled and the resulting system is investigated numerically. For the traffic flow the classical Lighthill–Whitham Richards model on a network of roads and for the pedestrian flow the Hughes model are used. These models are coupled via terms in the fundamental diagrams modeling an influence of the traffic and pedestrian flow on the maximal velocities of the corresponding models. Several physical situations, where pedestrians and cars interact, are investigated.

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