Boris Kerner

Boris S. Kerner (born 1947) is the pioneer of three phase traffic theory.[1][2][3][4][5][6]

Boris S. Kerner
Boris S. Kerner, 2018
Born (1947-12-22) 22 December 1947
Moscow
CitizenshipGerman
Educationelectronic engineer,
Alma materMoscow Technical University MIREA
Known for
  • Kerner's three phase traffic theory
  • Kerner's synchronized traffic flow
  • Kerner's range of highway capacities
  • Kerner's S → F instability
  • Kerner's indifference zone in car-following
  • Kerner's F → S → F transitions
  • Kerner's time-delayed breakdown at traffic signal
  • Kerner’s breakdown minimization principle
  • ASDA/FOTO methods
  • Kerner's congested pattern control approach
  • Kerner's network throughput maximization approach
  • Kerner's network capacity
  • Paradigm shift in traffic and transportation science
  • Kerner's model for autonomous driving
  • Kerner-Klenov stochastic microscopic model
  • Kerner-Klenov deterministic microscopic model
  • Kerner-Klenov-Wolf (KKW) cellular automaton model
  • Kerner-Klenov-Schreckenberg-Wolf (KKSW) cellular automaton model
  • Kerner's line J
  • Kerner's F → S → J transitions (moving jam "without obvious reason")
  • Kerner's pinch effect in synchronized flow
  • Kerner's 2Z-characteristic for phase transitions
  • Kerner's competition of S → F and S → J instabilities
  • Kerner's classification of empirical traffic congested patterns
  • Kerner's theory of congestion at heavy bottleneck (theory of mega-jam)
  • Kerner's jam absorption effect
AwardsDaimler Research Award 1994
Scientific career
Fieldsnon-linear physics, traffic and transportation science
Institutions
  • Pulsar and Orion Companies (Moscow) (1972–1992)
  • Daimler Company (Germany) (1992–2013)
  • University Duisburg-Essen (2013–now)
Theses
  • Ph.D. in physics and mathematics (1979)
  • Sc.D. (Doctor of Sciences) in physics and mathematics (1986)

Biography

Boris S. Kerner is an engineer and physicist. He was born in Moscow, Soviet Union in 1947 and graduated from the Moscow Technical University MIREA in 1972. Boris Kerner was received Ph.D. and Sc.D. (Doctor of Sciences) degrees in the Academy of Sciences of the Soviet Union, respectively, in 1979 and 1986. Between 1972 and 1992, his major interests include the physics of semiconductors, plasma and solid state physics. During this time, Boris Kerner together with V.V. Osipov developed a theory of Autosolitons - solitary intrinsic states, which form in a broad class of physical, chemical and biological dissipative systems.

After emigration from Russia to Germany in 1992, Boris Kerner worked for the Daimler company in Stuttgart. His major interest since then was the understanding of vehicular traffic. The empirical nucleation nature of traffic breakdown at highway bottlenecks understood by Boris Kerner is the basis for Kerner's three phase traffic theory, which he introduced and developed in 1996–2002.

Between 2000 and 2013 Boris Kerner was a head of a scientific research field Traffic at the Daimler company. In 2011 Boris Kerner was awarded with the degree Professor at the University of Duisburg-Essen in Germany. After his retirement from the Daimler company on 31 January 2013 Prof. Kerner works at the University Duisburg-Essen.

Scientific work

Three phase traffic theory

In Kerner's three phase traffic theory, in addition to the free flow traffic phase (F), there are two traffic phases in congested traffic: the synchronized flow traffic phase (S) and the wide moving jam phase (J). One of the main results of Kerner's theory is that traffic breakdown at a highway bottleneck is a random (probabilistic) phase transition from free flow to synchronized flow (F → S transition) that occurs in a metastable state of free flow at a highway bottleneck. This means that traffic breakdown (F → S transition) exhibits the nucleation nature. The main reason for the Kerner’s three-phase theory is the explanation of the empirical nucleation nature of traffic breakdown (F → S transition) at highway bottlenecks observed in real field traffic data. The prediction of the Kerner’s three-phase theory is that this metastability of free flow with respect to the F → S phase transition is governed by the nucleation nature of an instability of synchronized flow with respect to the growth of a large enough local increase in speed in synchronized flow (called a S → F instability). The S → F instability is a growing speed wave of a local increase in speed in synchronized flow at the bottleneck. The development of Kerner's S → F instability leads to a local phase transition from synchronized flow to free flow at the bottleneck (S → F transition).

Synchronized traffic flow

At the end of 1990's Kerner introduced a new traffic phase, called synchronized flow whose basic feature leads to the nucleation nature of the F → S transition at a highway bottleneck. Therefore, Kerner's synchronized flow traffic phase can be used synonymously with the term three-phase traffic theory.

Random time delay of traffic breakdown and F → S → F transitions

In 2015 Kerner found that before traffic breakdown occurs at a highway bottleneck, there can be a random sequence of F → S → F transitions at the bottleneck: The development of a F → S transition is interrupted by a S → F instability that leads to synchronized flow dissolution resulting in a S → F transition at the bottleneck. The effect of Kerner's F → S → F transitions is as follows: The F → S → F transitions determine a random time delay of traffic breakdown at the bottleneck.

Paradigm shift in traffic and transportation science

The basic result of Kerner's three-phase traffic theory about the nucleation nature of traffic breakdown (F → S transition) at a bottleneck shows the incommensurability of three-phase traffic theory with all earlier (standard) traffic flow theories. The term "incommensurability" has been introduced by Kuhn in his classical book[7] to explain a paradigm shift in a scientific field. The paradigm shift in traffic and transportation science is the fundamental change in the meaning of stochastic highway capacity because the meaning of highway capacity is the basis for the development of any method for traffic control, management, and organization of a traffic network as well as applications of intelligent transportation systems. The paradigm of standard traffic and transportation theories is that at any time instant there is a value of stochastic highway capacity. When the flow rate at a bottleneck exceeds the capacity value at this time instant, traffic breakdown must occur at the bottleneck. The new paradigm of traffic and transportation science following from the empirical nucleation nature of traffic breakdown (F → S transition) and Kerner's three-phase traffic theory changes fundamentally the meaning of stochastic highway capacity as follows. At any time instant there is a range of highway capacity values between a minimum and a maximum highway capacity, which are themselves stochastic values. When the flow rate at a bottleneck is inside this capacity range related to this time instant, traffic breakdown can occur at the bottleneck only with some probability, i.e., in some cases traffic breakdown occurs, in other cases it does not occur.

Mathematical models in the framework of three-phase traffic theory

Rather than a mathematical model of traffic flow, Kerner’s three-phase traffic theory is a qualitative traffic flow theory that consists of several hypotheses. The first mathematical model of traffic flow in the framework of Kerner’s three-phase traffic theory that mathematical simulations can show and explain traffic breakdown by an F → S phase transition in the metastable free flow at the bottleneck was the Kerner-Klenov stochastic microscopic traffic flow model introduced in 2002. Some months later, Kerner, Klenov, and Wolf developed a cellular automaton (CA) traffic flow model in the framework of Kerner’s three-phase traffic theory. The Kerner-Klenov stochastic traffic flow model in the framework of Kerner’s theory has further been developed for different applications, in particular to simulate on-ramp metering, speed limit control, dynamic traffic assignment in traffic and transportation networks, traffic at heavy bottlenecks and on moving bottlenecks, features of heterogeneous traffic flow consisting of different vehicles and drivers, jam warning methods, vehicle-to-vehicle (V2V) communication for cooperative driving, the performance of self-driving vehicles in mixture traffic flow, traffic breakdown at traffic signals in city traffic, over-saturated city traffic, vehicle fuel consumption in traffic networks.

Intelligent transportation systems in the framework of three-phase traffic theory

ASDA/FOTO methods for reconstruction of congested traffic patterns

Kerner's three phase traffic theory is a theoretical basis for applications in transportation engineering. One of the first applications of the three-phase traffic theory is ASDA/FOTO methods that are used in on-line applications for spatiotemporal reconstruction of congested traffic patterns in highway networks.

Congested pattern control approach

In 2004 Kerner introduced congested pattern control approach. Contrarily to standard traffic control at a network bottleneck in which a controller (for example, through the use of on-ramp metering, speed limit, or other traffic control strategies) tries to maintain free flow conditions at the maximum possible flow rate at the bottleneck, in congested pattern control approach no control of traffic flow at the bottleneck is realized as long as free flow is realized at the bottleneck. Only when an F → S transition (traffic breakdown) has occurred at the bottleneck, the controller starts to work trying to return free flow at the bottleneck. Congested pattern control approach is consistent with the empirical nucleation nature of traffic breakdown. Due to the congested pattern control approach, either free flow recovers at the bottleneck or traffic congestion is localized at the bottleneck.

Autonomous driving in framework of three-phase traffic theory

In 2004 Kerner introduced a concept of an autonomous driving vehicle in the framework of the three-phase traffic theory. The autonomous driving vehicle in the framework of the three-phase traffic theory is a self-driving vehicle for which there is no fixed time headway to the preceding vehicle. This means the existence of an indifference zone in car-following for the autonomous driving vehicle. Kerner's indifference zone in car-following results from Kerner's two-dimensional (2D) region of steady states of synchronized flow hypothesized in the three-phase traffic theory.

Time-delayed transition from under- to over-saturated traffic at signal

In 2011-2014, Boris Kerner has expanded three phase traffic theory, which he developed initially for highway traffic, for the description of city traffic. It turns out that like traffic breakdown at highway bottlenecks, traffic breakdown (transition from under- to over-saturated traffic) at traffic signals is also a random phase transition that occurs in metastable under-saturated city traffic. This theory of traffic breakdown at traffic signals can explain the physics of traffic gridlock in city traffic as well as the breakdown of green wave that is often observed in real city traffic. Moreover, like empirical studies of highway traffic, recent empirical studies of over-saturated city traffic prove the existence of empirical synchronized flow in city traffic.

Breakdown minimization principle

In 2011 Kerner introduced the breakdown minimization principle that is devoted to control and optimization of traffic and transportation networks while keeping the minimum of the probability of the occurrence of traffic congestion in a network.

Network throughput maximization approach

In 2016 Kerner developed an application of the breakdown minimization principle called network throughput maximization approach. Kerner's network throughput maximization approach is devoted to the maximization of the network throughput while keeping free flow conditions in the whole network.

Network capacity

In 2016 Kerner introduced a measure (or "metric") of a traffic or transportation network called network capacity. Kerner's network capacity determines the maximum total network inflow rate that is still possible to assign in the network while keeping free flow conditions in the whole network. Network capacity allows us to formulate a general condition for the maximization of the network throughput at which free flow does persist in the whole network: Under application of a network throughput maximization approach, as long as the total network inflow rate is smaller than the network capacity traffic breakdown with resulting traffic congestion cannot occur in the network, i.e., free flow remains in the whole network.

Selected publications

Books

Reviews

Papers

Studies in the framework of standard traffic flow theories: Characteristic parameters of wide moving jams, line J, and "boomerang" effect

Three-phase traffic theory

Empirical features of synchronized flow

Empirical microscopic criteria of traffic phases in congested traffic

Mathematical microscopic traffic flow models in the framework of three-phase traffic theory

Statistical theory of synchronized traffic flow

S → F instability, time delay of traffic breakdown, and F → S → F transitions

Theory of congested patterns at heavy bottlenecks: Features of mega-jam

Jam absorption effect

Time-delayed traffic breakdown at traffic signal

Autonomous driving and other intelligent transportation systems based on three-phase traffic theory

Breakdown minimization principle

Network throughput maximization approach and network capacity
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See also
  • Three-phase traffic theory
  • Traffic congestion: Reconstruction with Kerner’s three-phase theory
  • Kerner’s breakdown minimization principle

References

Notes
  1. The article in "The New York Times" titled “Stuck in Traffic? Consult a Physicist“ on Webpage
  2. Science News Online, Volume 156, Number 1 (July 3, 1999). Stop-and-Go Science. By better understanding traffic flow, researchers hope to keep down highway congestion
  3. Article by Davis in "APS News" titled “Physicists and traffic flow”
  4. The Economist: Traffic jams – Adapting to road conditions – Jul 1st 2004 – From The Economist print edition
  5. Physics Today - November 2005 by Henry Lieu (Federal Highway Administration, McLean, Virginia), Reviewer of the book “The Physics of Traffic: Empirical Freeway Pattern Features, Engineering Applications, and Theory” by Boris S. Kerner
  6. Article "Curing Congestion" in Discover Magazine, 1999
  7. T.S. Kuhn, "The structure of scientific revolutions". Fourth edition. (The University of Chicago Press, Chicago, London 2012)
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