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Tutorials
trafficsimulation.de
Simulating traffic flow interactively at trafficsimulation.de
(Youtube)
Interactive Corona Simulation (Ger)
alte Klausuren (German)

Master Course Traffic Flow Dynamics and Simulation SS 2020
(Vorlesung Verkehrsdynamik und simulation, SS ≤2019)
(20200717) Important organisatorial details
for the aural exams:
The aural exam takes 20 minutes, one at a time, on July 28, 2020. The
times for the candidates are as follows:
Matrikelnummer  Time on July 28, 2020 
4646656  09:00 
4508630  09:30 
4603453  10:00 
4906280  10:30 
4865911  11:00 
4529677  11:30 
News
(07.07.2020)
Informations on this year's examinations are
now online.
(22.06.2020)
Final English lecture slides. The full curriculum
for this year is now online.
(07.06.2020)
Further English lecture slides
(07.06.2020)
New English lecture slides
(07.06.2020)
All tutorials and solution
suggestions are now online (German)
(29.05.2020)
New lecture slides
(05.04.2020)
Correction regarding check your
examination of the past Econometrics Master's course
(Klausureinsicht). I have been informed that, these days, a lot of
red
tape has been implemented regarding organizing consultations/checking
events. It is not possible to communicate
facetoface, not even for a single student! Furthermore, Skype & Co
is also offlimits! . A dedicated
institutional secure mail service will be set up for this purpose.
However, if there are only general questions, e.g., the detailled point
distribution for the three tasks, you can write me a
mail .
(20200417)
A good example of a math model describing societal things is the hot topic of
simulating the Corona infection spread dynamics. For this, I have set
up an interactive simulator
(German) and also a series of videos
While only marginally traffic related,
these videos of my Econometrics course give a good example of
mathematical models and what you can do with them
(20200324) Until further
notice, the
lecture will be held as a virtual lecture this summer
semester.
About half of the curriculum has already been recorded
in my lectures (and later in a film studio) during my scientific
visit in India.
However, it may take some time
to bring the data (and myself) out of India. While the material for
the German students is already fully available, I will upload in the
next days the first English lecture notes.
The full curriculum
is also included in the textbook Traffic flow dynamics
(Springer, 2013, also available as an ebook). Otherwise, the material to be
provided on this site soon will also be enough for the whole course
(20190822) Starting with the summer semester 2020, this master
course will be delivered in English. The German script will still be
available
Examination
Due to the special circumstances, the examination will take place as
a 20minute oral test in person at our chair of
Econometrics and Statistics, esp. in the Transport Sector at the
Würzburger Str. 35, Room 123 (two floors up from the entrance!)
on July 28, 2020
individually at the times given here..
Notice: depending on the student's choice, the language at the
aural exam may
be English or German
Preparation
All what is relevant are the ten sets of
slides ,
particularly Lecture 01:
Trajectories, Lecture
03: Analysis of Stationary Detector Data,
The two
lectures Lecture
06 and Lecture
07 on firstorder macroscopic models,
and Lecture 09
and Lecture 10 on
microscopic models.
Notice that questions in aural exams tend to be more focussed on the
understanding rather than calculations (although, of course, some
simple formulas will be there as well). Typical questions include the
following:
 Summarize the contents of traffic flow dynamics [as displayed on
the ten sets of slides] in a few words
 What is traffic flow dynamics good for? give some use cases
 Determine macroscopic quantities such as traffic flow, density,
average speed, propagation velocities of traffic waves from a sketch
or plot of trajectories that will be handed out during the exam
 What is the difference between trajectory data as extracted from
fixed cameras, FC data, and stationary detector data (SDD)? Give the
strenghts and weaknesses of each data category with respect to some use
cases
 A stationary detector detects six passages of a vehicle within a
sampling period of one minute and records an average speed of 36 km/h. Give
the estimated flow in vehiclesa/hour and density in veh/km. Why is
the density estimate probably biased?
 What is a flowdensity scatter plot and a fundamental diagram (FD)?
Draw a typical fundamental diagram and flowdensity data containing
both free and congested traffic
 (advanced) Explain the Simpson effect when analyzing a day of
traffic flow data
 (advanced) [Given a sheet of paper with some data points
of vehicle trajectories (FCD) and stationary detector data (SDD) in
the xt plane]. How data inconsistencies may arise when both
SDD and FCD are available? How to resolve this issue?
 Discuss the difference between microscopic and macroscopic
traffic flow models
 Discuss the differences between timecontinuous models, iterated
maps, and cellular automata. Is it possible to formulate a
macroscopic model by a cellular automaton?
 How to derive the hydrodynamic relation flow=speed times density?
 Write down the simplest continuity equation (homogeneous road) on a
sheet of paper. Now integrate both sides of this equation over space
from x_{1} to x_{2}. What do you get?
 Discuss the Eulerian and Lagrangian point of view
 Write the simplest LWR on a sheet of paper and discuss the terms
and variables
 Given a LWR model with a certain fundamental diagram on a sheet
of paper and two
points p1 and p2 on it.
 How to determine local propagation
velocities at a density corresponding to p1?
 Given is a transition from
p1 to p2 while traffic is in state p1 upstream and in state p2
downstream of the transition region, respectively: Under which
condition a shockwave will form? If it forms, what will be its velocity?
 Give examples of trafficrelated bottlenecks (the more, the better)
 A traffic jam with a sharp transition free to congested forms
upstream of a bottleneck. How to determine if the jam area increases
or shrinks based on a counting detector at the bottleneck and a detector in
the freeflow region further upstream? (Notice: may also come
as a numerical
example)
 Give to mechanisms leading to a resolution of an existing traffic
jam (from the demand and supply side)
 A partial road block caused by an accident and causing a
congestion is removed. Give the
spatiotemporal dynamics of the congested region
 How to macroscopically model traffic lights?
 (advanced) explain the idea behind the supplydemand method when
numerically integrating LWR models
 Give the difference between micro and macroscopic traffic flow
models
 Discuss in words the plausibility criteria for the
acceleration function
f(.) of a timecontinuous carfollowing model
 (advanced) [Given a simple timecontinuous or iteratedmap carfollowing
model such as dv/dt=(v0v)/tau  lambda1/s + lammbda2*(vlv) with speed v,
leading speed vl, gap s]
 Discuss the meaning and typical values of the model parameters
v0, tau, lambda1, lambda2
 Determine the homogeneous steady state/the fundamental diagram
 Check the plausibility criteria
 Discuss the relation between a carfollowing model and the core
of an adaptivecruise control
 Which human characteristics are not considered by the
IntelligentDriver Model? (primarily the finite reaction time but
also many more)
 Discuss the rough idea behind the derivation of the
Gipps model and the IDM (no calculations!)
Notice I: It is probably a good idea to try understand all the
inslide questions ( orange "?" or
text) and check the given answers (
green "!" or
text)
Notice II: It is also a good idea to check the relevant
tutorial questions including the given solutions (although, of course,
many tutoral problems do not fit into the aural format)
Virtual Lectures on the Covid19 Model and Simulation (German)
these and more can be found on my Youtube
Kanal Ökonometrie.
Virtual Lectures on Traffic Flow Data
Coming soon
Virtual Lectures on Traffic Flow Data
These have already been recorded in India and will be presented as
soon as the Covid19 turbulences in India allow
Lecture Notes
Slides
Slides (German)
(20200324) English lecture slides coming
soon
Other Links
References:
The complete course (and more) is covered by each of the following textbooks:

M. Treiber and A. Kesting
Traffic
Flow Dynamics
Springer, 2013, XII+503 pages, 194 illus. (54 in color), hardcover
ISBN: 9783642324598

Hint: within the TU Dresden domain, you
can buy your personal discounted softcover copy at
link.springer.com It
costs less than half the regular
price. In contrast to the regular one, it ships with b/w figures, though.
Martin Treiber
