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Traffic flow model tree: a genealogical overview of the history of traffic flow modeling

Traffic Flow Webinar, 5 April 2013
by

Femke van Wageningen-Kessels

on 9 January 2014

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Transcript of Traffic flow model tree: a genealogical overview of the history of traffic flow modeling

Traffic flow model tree
a genealogical overview of
the history of traffic flow modeling

Femke van Wageningen-Kessels
Serge Hoogendoorn, Kees Vuik, Hans van Lint
Traffic Flow Webinar
5 April 2013
1934
Foundation of
traffic flow
modeling

1950's
First
dynamical
models

1960-1980
4 families:
FD
micro
meso
macro

Since mid 1990's
Family extensions

The fundamental diagram (FD)
1934
1935
Discontinuity in density-flow relationship
1961
Hysteresis:
Difference acceleration & deceleration
Newell, 1965 1974
Greenshields, 1935
Daganzo, 1994
Smulders, 1990
scatter in measured FD
non-unique FD
vehicle hetero-geneity: 3D FD
1997
2003
picture source: Treiber et.al. (2006), Phys.Rev. E
1953
1959 - '61
1958 - '61
2008
Macro (LWR) when possible
Micro (SD) when needed
2003
2007
Multi anticipation (MA)
1999
2006
2006
Stimulus response
Analyze models qualitatively
'Reasonable' behavior
Stability
Vehicles move similar to molecules in gas
1997
1999
2001
2003
Higher order
2001
Picture source: test.studfier.com, Article: Boltmann equation
1955-'56
On Kinematic Waves
Part I: Flood movement in Long Rivers
Part II: A Theory of Traffic Flow on Long Crowded Roads
Continuum approach
Average density, speed, ...
&
LWR: instantaneous change in speed
More realistic: acceleration / deceleration
towards equilibrium (FD) speed
Add velocity dynamics
1961
After Requiem HO models (Daganzo, 1995)
More realistic behavior
(eg., not driving backward, only react to leader)
1999
2002
2000
Macro when possible
Micro when needed
2007
Differences cars, trucks, vans, ...
2002
2003
2008
2007-'08
2011-'13
2012
Includes previous multi class LWR models
Applied for qualitative assesment
Trends
Hybrid (micro/macro)
Generalizations
Multi class
Adaptations LWR (realism)

Future directions
Other hybridizations (micro/macro, mixed/multi class, ...)
More generalizations (include more/other models) & application for model analysis: select & develop models with qualitatively 'good' properties

http://repository.tudelft.nl/view/ir/uuid:163507af-96df-4804-ad19-2147921b6cbc/
Article under review for journal publication
Pre-announcement
Special call for papers TRB 2014

Traffic Flow Theory & Characteristics Committee
50 years of Traffic Flow Theory
f.l.m.vanwageningen-kessels@tudelft.nl
New traffic flow models that can be added to the model tree as new branches will continue to be developed.
Proposition (nr. 3)
1960
Aim of traffic flow model
Describe and predict vehicular flow on roads
Number of vehicles
Positions, speeds, accelerations
Prediction of congestion, emissions, safety
Design of roads / transport systems
Traffic management
Understanding of human behavior
...
Applications
1995
2000
Full transcript