Repository logo

Infoscience

  • English
  • French
Log In
Logo EPFL, École polytechnique fédérale de Lausanne

Infoscience

  • English
  • French
Log In
  1. Home
  2. Academic and Research Output
  3. Conferences, Workshops, Symposiums, and Seminars
  4. Formulation of time to collision for elliptical agents
 
conference paper not in proceedings

Formulation of time to collision for elliptical agents

Anagnostopoulos, Georg  
•
Geroliminis, Nikolaos  
July 26, 2023
The Traffic Flow Theory and Characteristics Committee Summer Meeting (TFTC-2023)

Time to collision (TTC) is a key indicator of human locomotion, encompassing both pedestrian and vehicular traffic. Applications of the TTC concept span a wide spectrum from safety to traffic flow dynamics. However, there exists no generic formulation for TTC and its calculation depends highly on the context. Therefore, we would like to propose here a unified methodology that is generally applicable, regardless of the scope. This generalization is possible, if we introduce the assumption that the geometry of interacting agents can be approximated by arbitrary ellipses. Isotropic human crowds can be modelled as a special case when the ellipse is reduced to a circle, whereas the strongly anisotropic vehicular traffic is covered by the general case. The calculation of time to collision, requires knowledge of the distance of closest approach, a quantity that is not trivial to obtain with elliptical proxies. In short, the distance of closest approach is generally larger than the sum of the radii. For an analytical solution, we utilize a recent result from the physics of liquid crystals and then we proceed with the calculation of TTC for the massive pNEUMA dataset of naturalistic vehicular trajectories. Our findings show pronounced difference between cars and motorcycles, which is not typical in lane-free systems and possibly suggests a hybrid system.

  • Details
  • Metrics
Type
conference paper not in proceedings
Author(s)
Anagnostopoulos, Georg  
Geroliminis, Nikolaos  
Date Issued

2023-07-26

Subjects

Anticipation

•

Distance of Closest Approach

•

Time to Collision

•

Virtual Lane

Written at

EPFL

EPFL units
LUTS  
Event nameEvent placeEvent date
The Traffic Flow Theory and Characteristics Committee Summer Meeting (TFTC-2023)

Amsterdam, Netherlands

July 26-28 2023

Available on Infoscience
November 27, 2023
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/202386
Logo EPFL, École polytechnique fédérale de Lausanne
  • Contact
  • infoscience@epfl.ch

  • Follow us on Facebook
  • Follow us on Instagram
  • Follow us on LinkedIn
  • Follow us on X
  • Follow us on Youtube
AccessibilityLegal noticePrivacy policyCookie settingsEnd User AgreementGet helpFeedback

Infoscience is a service managed and provided by the Library and IT Services of EPFL. © EPFL, tous droits réservés