568 citations · 858 across the 10 of their papers we have counts for
24 papers · 1 filter
Analytical Investigation of Innovation Dynamics Considering Stochasticity in the Evaluation of Fitness
Dirk Helbing, Martin Treiber, Nicole J. Saam
We investigate a selection-mutation model for the dynamics of technological innovation,a special case of reaction-diffusion equations. Although mutations are assumed to increase th…
Empirical Features of Congested Traffic States and Their Implications for Traffic Modeling
Martin Schoenhof, Dirk Helbing
We investigate characteristic properties of the congested traffic states on a 30 km long stretch of the German freeway A5 north of Frankfurt/Main. Among the approximately 245 break…
Physics, Stability and Dynamics of Supply Networks
Dirk Helbing, Stefan Lammer, Thomas Seidel +2
We show how to treat supply networks as physical transport problems governed by balance equations and equations for the adaptation of production speeds. Although the non-linear beh…
Fokker-Planck equation approach to vehicle statistics
Dirk Helbing, Martin Treiber
This contribution presents a derivation of the steady-state distribution of velocities and distances of vehicles in freeway traffic which has been suggested for the evaluation of i…
Simulation software for 'Simulating Dynamical Features of Escape Panic'
Dirk Helbing, Illes Farkas, Tamas Vicsek
Simulation software used to produce results in cond-mat/0009448 -- published as Helbing et.al, Simulating Dynamical Features of Escape Panic, Nature 407, 487-490 (2000) -- has been…
Modeling Supply Chains and Business Cycles as Unstable Transport Phenomena
Dirk Helbing
Physical concepts developed to describe instabilities in traffic flows can be generalized in a way that allows one to understand the well-known instability of supply chains (the so…