110 citations · 488 across the 17 of their papers we have counts for
7 papers · 1 filter
Probabilistic Description of Traffic Breakdowns Caused by On-ramp Flow
Reinhart Kuhne, Ihor Lubashevsky, Reinhard Mahnke +1
The characteristic features of traffic breakdown near on-ramp are analyzed. To describe this phenomenon the probabilistic description regarding the jam emergence as the formation o…
Towards the fundamentals of car following theory
Ihor Lubashevsky, Peter Wagner, Reinhard Mahnke
The problem of a car following a lead car driven with constant velocity is considered. To derive the governing equations for the following car dynamics a cost functional that ranks…
A Bounded Rational Driver Model
Ihor Lubashevsky, Peter Wagner, Reinhard Mahnke
This paper introduces a car following model where the driving scheme takes into account the deficiencies of human decision making in a general way. Aditionally, it improves certain…
Long-lived states in synchronized traffic flow. Empirical prompt and dynamical trap model
Ihor Lubashevsky, Reinhard Mahnke, Peter Wagner +1
The present paper proposes a novel interpretation of the widely scattered states (called synchronized traffic) stimulated by Kerner's hypotheses about the existence of a multitude…
Probabilistic Description of Traffic Breakdowns
Reinhart Kuhne, Reinhard Mahnke, Ihor Lubashevsky +1
We analyze the characteristic features of traffic breakdown. To describe this phenomenon we apply to the probabilistic model regarding the jam emergence as the formation of a large…
Towards a variational principle for motivated vehicle motion
Ihor Lubashevsky, Sergey Kalenkov, Reinhard Mahnke
We deal with the problem of deriving the microscopic equations governing the individual car motion based on the assumptions about the strategy of driver behavior. We suppose the dr…