Vehicular Traffic

=see also Pedestrians and Crowds

Letters in Journals

• C. Leduc, K. Padberg-Gehle, V. Varga, D. Helbing, S. Diez, and J. Howard (2012) Molecular crowding creates traffic jams of kinesin motors on microtubules. PNAS 16, 6100-6105.
• D. Helbing and M. Schreckenberg (1999) Cellular automata simulating experimental properties of traffic flows. Physical Review E 59, R2505-R2508.
• D. Helbing, A. Hennecke, and M. Treiber (1999) Phase diagram of traffic states in the presence of inhomogeneities. Physical Review Letters 82, 4360-4363.
• D. Helbing and B. A. Huberman (1998) Coherent moving states in highway traffic. Nature 396, 738-740.
• D. Helbing and M. Treiber (1998) Jams, waves, and clusters. Science 282, 2001-2003.
• D. Helbing and M. Treiber (1998) Gas-kinetic-based traffic model explaining observed hysteretic phase transition. Physical Review Letters 81, 3042-3045.

Reviews

• D. Helbing (2005) Traffic flow. In: Alwyn Scott (ed.) Encyclopedia of Nonlinear Science (Routledge, New York).
• D. Helbing and K. Nagel (2004) The physics of traffic and regional development. Contemporary Physics 45(5), 405-426.
• D. Helbing, A. Hennecke, V. Shvetsov, and M. Treiber (2002) Micro- and macro-simulation of freeway traffic. Mathematical and Computer Modelling 35(5/6), 517-547.
• D. Helbing (2001) Traffic and related self-driven many-particle systems. Reviews of Modern Physics 73, 1067-1141.
• D. Helbing, A. Hennecke, V. Shvetsov, and M. Treiber (2001) MASTER: Macroscopic traffic simulation based on a gas-kinetic, non-local traffic model. Transportation Research B 35, 183-211.

Articles in Journals

• T. Becker, M. E. Beber, K. Windt, M-T. Hütt, and Dirk Helbing (2011) Flow control by periodic devices: a unifying language for the description of traffic, production, and metabolic systems. Journal of Statistical Mechanics: Theory and Experiment, P05004.
• D. Helbing, L. Rarità, C. D'Apice, andB. Piccoli (2010) Sensitivity analysis of permeability parameters for flows on Barcelona networks. Journal of Differential Equations 249(12), 3110-3131.

• A. Kesting, M. Treiber, and D. Helbing (2010) Enhanced intelligent driver model to access the impact of driving strategies on traffic capacity. Phil. Trans. R. Soc. A 368(1928), 4585-4605.
• M. Treiber, A. Kesting, and D. Helbing (2010) Three-phase traffic theory and two-phase models with a fundamental diagram in the light of empirical stylized facts. Transportation Research Part B 44(8-9), 983-1000.
• A. Kesting, M. Treiber, and D. Helbing (2010) Connectivity statistics of store-and-forward intervehicle communication. IEEE Transactions on Intelligent Transportation Systems 11(1), 172-181.
• A. Mazloumian, N. Geroliminis, and D. Helbing(2010) The spatial variability of vehicle densities as determinant of urban network capacity. Phil. Trans. R. Soc. A 368(1928), 4627-4647.
• D. Helbing and A. Mazloumian (2009) Operation regimes and slower-is-faster effect in the control of traffic intersections. European Physical Journal B 70(2), 257–274.
• D. Helbing (2009) Derivation of non-local macroscopic traffic equations and consistent traffic pressures from microscopic car-following models. European Physical Journal B 69(4), 539-548.
• D. Helbing and A. Johansson (2009) On the controversy around Daganzo's requiem for and Aw-Rascle's resurrection of second-order traffic flow models. European Physical Journal B 69(4), 549-562.
• D. Helbing (2009) Reply to "What faster-than-traffic characteristic speeds mean for vehicular traffic flow''. European Physical Journal B 69(4), 569-570.
• D. Helbing and M. Moussaid (2009) Analytical calculation of critical perturbation amplitudes and critical densities by non-linear stability analysis of a simple traffic flow model. European Physical Journal B 69(4), 571-581.
• D. Helbing, M. Treiber, A. Kesting, and M. Schönhof (2009) Theoretical vs. empirical classification and prediction of congested traffic states. European Physical Journal B 69(4), 583-598.
• D. Helbing and B. Tilch (2009) A power law for the duration of high-flow states and its interpretation from a heterogeneous traffic flow perspective. European Physical Journal B 68(4), 577-586.
• M. Treiber and D. Helbing (2009) Hamilton-like statistics in onedimensional driven dissipative many-particle systems. European Physical Journal B 68(4), 607-618.
• M. Schönhof and D. Helbing (2009) Criticism of three-phase traffic theory. Transportation Research B 43, 784-797.
• D. Helbing (2009) Derivation of a fundamental diagram for urban traffic flow. European Physical Journal B 70(2), 229-241.
• A. Kesting, M. Treiber, M. Schönhof, and D. Helbing (2008) Adaptive cruise control design for active congestion avoidance. Transportation Research C 16(6), 668-683.
  
• S. Lämmer, R. Donner, and D. Helbing (2008) Anticipative control of switched queueing systems. European Physical Journal B 63(3), 341-348.
• D. Helbing (2008) Die Rückkehr des "Staus aus dem Nichts". Physik Journal 7, 19-20.
  
• S. Lämmer and D. Helbing (2008) Self-control of traffic lights and vehicle flows in urban road networks. JSTAT P04019.
• A. Kesting, M. Treiber, M. Schönhof, and D. Helbing (2007) Extending adaptive cruise control to adaptive driving strategies. Transportation Research Record 2000, 16-24.
• M. Schönhof, M. Treiber, A. Kesting, and D. Helbing (2007) Autonomous detection and anticipation of jam fronts from messages propagated by intervehicle communication. Transportation Research Record 1999, 3-12.
  
• M. Treiber, A. Kesting, and D. Helbing (2007) Influence of reaction times and anticipation on stability of vehicular traffic flow. Transportation Research Record 1999, 23-29.
• A. Kesting, M. Treiber, and D. Helbing (2007) General lane-changing model MOBIL for car-following models. Transportation Research Record 1999, 86-94.
• M. Schönhof and D. Helbing (2007) Empirical features of congested traffic states and their implications for traffic modeling. Transportation Science 41(2), 135-166.
  
• D. Helbing, J. Siegmeier, and S. Lämmer (2007) Self-organized network flows. Networks and Heterogeneous Media 2(2), 193-210.
  
• R. Jiang, D. Helbing, P. K. Shukla, and Q.-S. Wu (2006) Inefficient emergent oscillations in intersecting driven many-particle flows. Physica A 368, 567-574.
• C. Kühnert, D. Helbing, and G. B. West (2006) Scaling laws in urban supply networks. Physica A 363, 96-103.
• M. Schönhof, A. Kesting, M. Treiber, and D. Helbing (2006) Coupled vehicle and information flows: Message transport on a dynamic vehicle network. Physica A 363, 73-81.
• S. Lämmer, H. Kori, K. Peters, and D. Helbing (2006) Decentralised control of material or traffic flows in networks using phase-synchronisation. Physica A 363, 39-47.
• S. Lämmer, B. Gehlsen, and D. Helbing (2006) Scaling laws in the spatial structure of urban road networks. Physica A 363, 89-95.
• M. Treiber, A. Kesting, and D. Helbing (2006) Understanding widely scattered traffic flows, the capacity drop and platoons as effects of variance-driven time gaps. Physical Review E 74, 016123.
• R. V. Lindgren, R. L. Bertini, D. Helbing, and M. Schönhof (2006) Toward demonstrating the predictability of bottleneck activation on a German autobahn. In: Transportation Research Record: Journal of the Transportation Research Board 1965, 12-22.
  
• M. Treiber, A. Kesting, and D. Helbing (2006) Delays, inaccuracies and anticipation in microscopic traffic models. Physica A 360, 71-88.
• D. Helbing, R. Jiang, and M. Treiber (2005) Analytical investigation of oscillations in intersecting flows of pedestrian and vehicle traffic. Physical Review E 72, 046130.
• M. Krbalek and D. Helbing (2004) Determination of interaction potentials in freeway traffic from steady-state statistics. Physica A 333, 370-378.
• D. Helbing (2003) A section-based queueing-theoretical traffic model for congestion and travel time analysis in networks. Journal of Physics A: Mathematical and General 36, L593-L598.
• R. Kölbl and D. Helbing (2003) Energy laws in human travel behaviour. New Journal of Physics 5, 48.1-48.12.
• K. Nishinari, M. Treiber, and D. Helbing (2003) Interpreting the wide scattering of synchronized traffic data by time gap statistics. Physical Review E 68, 067101.
• M. Treiber and D. Helbing (2003) Memory effects in microscopic traffic models and wide scattering in flow-density data. Physical Review E 68, 046119.
• D. Helbing and M. Treiber (2002) Critical discussion of "synchronized flow". Cooper@tive Tr@nsport@tion Dyn@mics 1, 2.1-2.24.
• M. Treiber and D. Helbing (2002) Reconstructing the spatio-temporal traffic dynamics from stationary detector data. Cooper@tive Tr@nsport@tion Dyn@mics 1, 3.1-3.24.
• M. Treiber and D. Helbing (2001) Microsimulations of freeway traffic including control measures. Automatisierungstechnik 49, 478-484.
• M. Treiber, A. Hennecke, and D. Helbing (2000) Congested traffic states in empirical observations and microscopic simulations. Physical Review E 62, 1805-1824.
• M. Treiber and D. Helbing (1999) Macroscopic simulation of widely scattered synchronized traffic states. Journal of Physics A: Mathematical and General 32, L17-L23.
• D. Helbing and M. Treiber (Sep./Oct. 1999) Numerical simulation of macroscopic traffic equations. Computing in Science & Engineering 1(5), 89-99.
• V. Shvetsov and D. Helbing (1999) Macroscopic dynamics of multilane traffic. Physical Review E 59, 6328-6339.
• M. Treiber, A. Hennecke, and D. Helbing (1999) Derivation, properties, and simulation of a gas-kinetic-based, non-local traffic model. Physical Review E 59, 239-253.
• D. Helbing and B. Tilch (1998) Generalized force model of traffic dynamics. Physical Review E 58, 133-138.
• D. Helbing (1998) Structure and instability of high-density equations for traffic flow. Physical Review E 57, 6176-6179.
• D. Helbing and A. Greiner (1997) Modeling and simulation of multilane traffic flow. Physical Review E 55, 5498-5507.
• D. Helbing (1997) Modeling multi-lane traffic flow with queuing effects. Physica A 242, 175-194.
• D. Helbing (1996) Derivation and empirical validation of a refined traffic flow model. Physica A 233, 253-282.
• D. Helbing (1996) Gas-kinetic derivation of Navier-Stokes-like traffic equations. Physical Review E 53, 2366-2381.
• D. Helbing (1995) Improved fluid-dynamic model for vehicular traffic. Physical Review E 51, 3164-3169.

Books, Theses, Proceedings, and Special Issues

• A. Kesting, M. Treiber, and D. Helbing (2008) Model of a traffic-adaptive cruise control system In: Networks for Mobility (Proceedings of the 4th International Symposium), Stuttgart.
• D. Helbing, J. Jost, and H. Kantz, eds. (2008) Nonlinear Physics Everywhere: From Molecules to Cities. The European Physical Journal B 63(3), 283-420.
  
• G.-A. Ahrens, D. Helbing, W. Fengler, H.-C. Reuss, J. Schütte, and H. Strobel, eds. (2003) Mobilität und Verkehrsmanagement in einer vernetzten Welt / Mobility and Traffic Management in a Networked World (CDROM, Faculty of Traffic Sciences "Friedrich List", Dresden University of Technology, Dresden).
• D. Helbing and K. Janschek, eds. (2001) Methoden der Telematik für den Straßenverkehr. Automatisierungstechnik 49, 473-520.
• W. Fengler, D. Helbing, S. Liebig, H.-C. Reuss, J. Schütte, H. Strobel, and H. Zellbeck, eds. (2001) Transport und Mobilität in der Informationsgesellschaft / Transportation and Mobility in Information Society (CDROM, Faculty of Traffic Sciences "Friedrich List", Dresden University of Technology, Dresden).
• D. Helbing, H. J. Herrmann, M. Schreckenberg, and D. E. Wolf, eds. (2000) Traffic and Granular Flow '99: Social, Traffic, and Granular Dynamics (Springer, Berlin).
  
• D. Helbing (1997) Verkehrsdynamik. Neue physikalische Modellierungskonzepte (Springer, Berlin).
  

Invited Contributions to Books

• A. Kesting, M. Treiber, and D. Helbing (2009) Agents for traffic simulation. Pages 325-356 in: A.M. Uhrmacher and D. Weyns (eds.) Multi-Agent Systems (Taylor & Francis, Boca Raton)
• R. Donner, S. Lämmer, A. Hofleitner, and D. Helbing: Decentralised Control of
  Traffic Flows in Urban Networks. In: J.J. Schneider (ed.) Lectures on Socio- and Econophysics (Springer, Berlin, forthcoming).
• A. Kesting, M. Schönhof, S. Lämmer, M. Treiber, and D. Helbing (2008) Decentralized approaches to adaptive traffic control. Pages 179-200 in: D. Helbing (ed.) Managing Complexity: Insights, Concepts, Applications (Springer, Berlin).
• D. Helbing (2007) Self-organization and optimization of pedestrian and vehicle traffic in urban environments. In: S. Albeverio, D. Andrey, P. Giordano, andA. Vancheri (eds.) The Dynamics of Complex Urban Systems. An Interdisciplinary Approach. (Springer, Berlin Heidelberg, New York).
• D. Helbing, S. Lämmer, and J.-P. Lebacque (2005) Self-organized control of irregular or perturbed network traffic. Pages 239-274 in: C. Deissenberg and R. F. Hartl (eds.) Optimal Control and Dynamic Games (Springer, Dordrecht).
• D. Helbing (2005) Production, supply, and traffic systems: A unified description. Pages 173-188 in: S. P. Hoogendoorn, S. Luding, P. H. L. Bovy, M. Schreckenberg, and D. E. Wolf (eds.) Traffic and Granular Flow '03 (Springer, Berlin).
• M. Treiber and D. Helbing (2003) An adaptive smoothing method for traffic state identification from incomplete information. Pages 343-360 in: H. Emmerich, B. Nestler, and M. Schreckenberg (eds.) Interface and Transport Dynamics. Computational Modelling (Springer, Berlin).
• D. Helbing, I. J. Farkás, D. Fasold, M. Treiber, and T. Vicsek (2003) Critical discussion of "synchronized flow", pedestrian evacuation, and optimal production. Pages 511-530 in: M. Fukui, Y. Sugiyama, M. Schreckenberg, and D. E. Wolf (eds.) Traffic and Granular Flow '01 (Springer, Berlin).
• D. Helbing (2002) Order and disorder in traffic and self-driven many-particle systems. Pages 239-250 in: M. L. Spano (ed.) Proceedings of the 6th Experimental Chaos Conference (American Institute of Physics, Melville, NY).
• D. Helbing (1998) From microscopic to macroscopic traffic models. Pages 122-139 in: J. Parisi, S. C. Müller, and W. Zimmermann (eds.) A Perspective Look at Nonlinear Media. From Physics to Biology and Social Sciences. (Springer, Berlin).
• D. Helbing (1996) Traffic modeling by means of physical concepts. Pages 87-104 in: D. E. Wolf, M. Schreckenberg, and A. Bachem (eds.) Traffic and Granular Flow (World Scientific, Singapore).

Contributions to Conference Proceedings

• A. Kesting, M. Treiber, S. Lämmer, M. Schönhof, and D. Helbing (2006) Decentralized approaches to adaptive traffic control and an extended level of service concept. Contribution to the 17th International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering, IKM 2006 (Weimar).
• A. Kesting, M. Treiber, M. Schönhof, F. Kranke, and D. Helbing (2005) 'Jam-avoiding' adaptive cruise control (ACC) and its impact on traffic dynamics. Pages 633-643 in: Traffic and Granular Flow '05 (Springer, Berlin).
• M. Schönhof, A. Kesting, M. Treiber, and D. Helbing (2005) Inter-vehicle communication on freeways: Statistical properties of information propagation. Pages 645-655 in: Traffic and Granular Flow '05 (Springer, Berlin).
  
• M. Treiber, A. Kesting, and D. Helbing (2005) Variance-driven traffic dynamics and statistical aspects of single-vehicle data. Pages 551-557 in: Traffic and Granular Flow '05 (Springer, Berlin).
• D. Helbing, B. A. Huberman, and S. M. Maurer (2000) Optimizing traffic in virtual and real space. Pages 193-204 in: D. Helbing, H. J. Herrmann, M. Schreckenberg, and D. E. Wolf (eds.) Traffic and Granular Flow '99: Social, Traffic, and Granular Dynamics (Springer, Berlin).
• B. Tilch and D. Helbing (2000) Evaluation of single vehicle data in dependence of the vehicle-type, lane, and site. Pages 333-338 in: D. Helbing, H. J. Herrmann, M. Schreckenberg, and D. E. Wolf (eds.) Traffic and Granular Flow '99: Social, Traffic, and Granular Dynamics (Springer, Berlin).
• D. Helbing (1998) Similarities between granular and traffic flow. Pages 547-552 in: H. J. Herrmann, J.-P. Hovi, and S. Luding (eds.) Physics of Dry Granular Media (Springer, Berlin).

Patents

• D. Helbing and S. Lämmer (2006) Method for coordination of concurrent processes for control of the transport of mobile units within a network (WO/2006/122528).

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