Micro- and macro-simulation of freeway traffic

Mathematical and Computer Modelling

Volumn 35, Issue 5-6, 2002, Pages 517-547

  Helbing, D ^a   Hennecke, A ^b   Shvetsov, V ^b   Treiber, M ^a  

^a DRESDEN UNIVERSITY OF TECHNOLOGY   (Germany)

^b UNIVERSITY OF STUTTGART   (Germany)

Author keywords

Car following model; Congested traffic flow; Micro macro link; Phase diagram; Vehicle queues

Indexed keywords

EID: 0036171940     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0895-7177(02)80019-X     Document Type: Article

References (78)

1. Experimental properties of phase transitions in traffic flow
2. Coherent moving states in highway traffic
3. Cluster effect in initially homogeneous traffic flow
4. Macroscopic freeway model for dense traffic - Stop-start waves and incident detection
5. Freeway speed distribution and acceleration noise - Calculations from a stochastic continuum theory and comparison with measurements
6. Structure and parameters of clusters in traffic flow
7. Experimental properties of complexity in traffic flow
8. Gas-kinetic-based traffic model explaining observed hysteretic phase transition
9. Experimental features and characteristics of traffic jams
10. Experimental characteristics of traffic flow for evaluation of traffic modelling
11. Vehicular flow past incidents involving lane blockage on urban roads: A preliminary exploration
12. Phase digram of congested traffic flow: An empirical study
13. The hysteresis phenomenon in traffic flow
14. Some traffic features at freeway bottlenecks
15. Experimental features of self-organization in traffic flow
16. Derivation, properties, and simulation of a gas-kinetic-based, non-local traffic model
17. Phase diagram of traffic states in the presence of inhomogeneities
18. On kinematic waves: II. A theory of traffic on long crowded roads
19. Shock waves on the highway
20. A simplified theory of kinematic waves in highway traffic
21. The cell transmission model: A dynamic representation of highway traffic consistent with the hydrodynamic theory
22. The cell transmission model, Part II: Network traffic
23. A phenomenological model for dynamic traffic flow in networks
24. A finite acceleration scheme for first order macroscopic traffic flow models
25. Models of freeway traffic and control
26. A kinetic model for traffic flow with continuum implications
27. Origin of synchronized traffic flow on highways and its dynamic phase transition
28. Requiem for second-order fluid approximations of traffic flow
29. Numerical simulation of macroscopic traffic equations
30. Phenomenological study of dynamical model of traffic flow
31. Cellular automata simulating experimental properties of traffic flow
32. Gas-kinetic derivation of Navier-Stokes-like traffic equations
33. Derivation and empirical validation of a refined traffic flow model
34. On Boltzmann-like treatments for traffic flow. A critical review of the basic model and an alternative proposal for dilute traffic analysis
35. A kinetic model of vehicular traffic and its associated bimodal equilibrium solutions
36. Second order continuum traffic flow model
37. Enskog-like kinetic models for vehicular traffic
38. The Prigogine-Herman kinetic model predicts widely scattered traffic flow data at high concentrations
39. A macroscopic multi-lane multi-class traffic flow model
40. A hierarchy of models for multilane traffic I: Modeling
41. A hierarchy of models for multilane traffic II: Numerical investigations
42. From microscopic to macroscopic traffic models
43. Enskog equations for traffic flow evaluated up to Navier-Stokes order
44. Macroscopic dynamics of multi-lane traffic
45. Empirical traffic data and their implications for traffic modeling
46. Macroscopic simulation of widely scattered synchronized traffic states
47. Fundamentals of traffic flow
48. "Dipole-layer" effect in dense traffic flow
49. Deterministic spontaneous appearance of traffic jams in slightly inhomogeneous traffic flow
50. Pattern formation outside of equilibrium
51. Possible explanations of phase transitions in highway traffic
52. The nature of freeway gridlock and how to prevent it
53. Modeling multi-lane traffic flow with queuing effects
54. Jams, waves, and clusters
55. Dynamic states of a continuum traffic equation with on-ramp
56. Congested traffic states in empirical observations and microscopic simulations
57. Macroscopic traffic simulation based on a gas-kinetic, non-local traffic model
58. Fahrzeugbewegungen in der kolonne
59. Nonlinear effects in the dynamics of car following
60. Dynamical model of traffic congestion and numerical simulation
61. A behavioural car-following model for computer simulation
62. Generalized force model of traffic dynamics
63. Nonlinear control of stop-and-go traffic