Self-organized network flows

Networks and Heterogeneous Media

Volumn 2, Issue 2, 2007, Pages 198-210

  Helbing, Dirk ^a,b   Siegmeier, Jan ^a   Lämmer, Stefan ^a  

^a DRESDEN UNIVERSITY OF TECHNOLOGY   (Germany)

^b INSTITUTE FOR ADVANCED STUDY   (Hungary)

Author keywords

Emergent oscillations; Production; Self organized traffic lights; Synchronization; Traffic flows

Indexed keywords

MATERIALS HANDLING; PRODUCTION; SYNCHRONIZATION;

COORDINATION PROBLEMS; EMERGENT OSCILLATIONS; SELF-ORGANIZED NETWORKS; STREET NETWORK; SUPPLY NETWORKS; TRAFFIC FLOW; TRAFFIC LIGHT; TRANSPORTATION TIME;

STREET TRAFFIC CONTROL;

EID: 55849152769     PISSN: 15561801     EISSN: 1556181X     Source Type: Journal    
DOI: 10.3934/nhm.2007.2.193     Document Type: Article

References (37)

1. V. Astarita, Flow propagation description in dynamic network loading models, in "Proc. IV Internat. Conf. Appl. Adv. Tech." (eds: Y. J. Stephanedes and F. Filippi), Transportation Engrg (AATT), 1995, 599-603.
2. V. Astarita, Node and link models for traffic simulation, Math. Comput. Model., 35 (2002), 643-656.
3. M. K. Banda, M. Herty and A. Klar, Gas flow in pipeline networks, NHM, 1 (2006), 41-56.
4. G. Bretti, R. Natalini and B. Piccoli, Numerical approximations of a traffic flow model on networks, NHM, 1 (2006), 57-84.
5. M. Carey, Y. E. Ge and M. McCartney, A whole-link travel-time model with desirable properties, Transport. Sci., 37 (2003), 83-84.
6. C. F. Daganzo, Requiem for second-order fluid approximations of traffic flow, Transpn. Res. B, 29 (1995), 277-286.
7. C. F. Daganzo, The cell transmission model, Part II: Network traffic, Transpn. Res. B, 29 (1995), 79-93.
8. B. De Schutter, Optimizing acyclic traffic signal switching sequences through an extended linear complementarity problem formulation, Eur. J. Oper. Res., 139 (2002), 400-415.
9. M. Garavello and B. Piccoli, "Traffic Flow on Networks," American Institute of Mathematical Sciences, Springfield, 2006.
10. S. Goettlich, M. Herty and A. Klar, Modelling and optimization of supply chains on complex networks, Commun. Math. Sci., 4 (2006), 315-330.
11. D. Helbing, Traffic and related self-driven many-particle systems, Rev. Mod. Phys., 73 (2001), 1067-1141.
12. D. Helbing, A section-based queueing-theoretical traffic model for congestion and travel time analysis in networks, J. Phys. Math. Gen. 36 (2003), L593-L598.
13. D. Helbing, Production, supply, and traffic systems: A unified description, in "Traffic and Granular Flow '03" (eds: S. P. Hoogendoorn, S. Luding, P. H. L. Bovy, M. Schreckenberg and D. E. Wolf), Springer, Berlin, 2005, 173-188.
14. D. Helbing, S. Lämmer and J.-P. Lebacque, Self-organized control of irregular or perturbed network traffic, in "Optimal Control and Dynamic Games" (eds: C. Deissenberg and R. F. Hartl), Springer, Dordrecht, 2005, 239-274.
15. D. Helbing, R. Jiang and M. Treiber, Analytical investigation of oscillations in intersecting flows of pedestrian and vehicle traffic, Phys. Rev. E, 72 (2005), 046130.
16. D. Helbing, A. Johansson, J. Mathiesen, M. H. Jensen and A. Hansen, Analytical approach to continuous and intermittent bottleneck flows, Phys. Rev. Lett., 97 (2006), 168001.
17. D. Helbing, L. Buzna, A. Johansson, and T. Werner, Self-organized pedestrian crowd dynamics: Experiments, simulations, and design solutions, Transpn. Science, 39 (2005), 1-24.
18. D. Helbing and S. Lämmer, Method for the coordination of competing processes or for the control of the transport of mobile entities within a network, Patent DE 10 2005 023 742.8.
19. D. Helbing, S. Lämmer, T. Seidel, P. Seba and T. Platkowski, Physics, stability and dynamics of supply networks, Phys. Rev. E, 70 (2004), 066116.
20. D. Helbing and P. Molnár, Social force model for pedestrian dynamics, Phys. Rev. E, 51 (1995), 4282-4286.
21. D. Helbing, T. Seidel, S. Lämmer and K. Peters, Self-organization principles in supply networks and production systems, in "Econophysics and Sociophysics" (eds: B. K. Chakrabarti, A. Chakraborti, and A. Chatterjee), Wiley, New York, 2006.
22. M. Herty and A. Klar, Modeling, simulation, and optimization of traffic flow networks, SIAM Appl. Math., 64 (2003), 565-582.
23. M. Herty and A. Klar, Simplified dynamics and optimization of large scale traffic flow networks Math. Mod. Meth. Appl. Sci., 14 (2004), 579-601.
24. M. Herty, S. Moutari and M. Rascle, Optimization criteria for modelling intersections of vehicular traffic flow, NHM, 1 (2006), 275-294.
25. M. Hilliges and W. Weidlich, A phenomenological model for dynamic traffic flow in networks, Transpn. Res. B, 29 (1995), 407-431.
26. B. Kerner, "The Physics of Traffic," Springer, Berlin, 2004.
27. S. Lämmer, H. Kori, K. Peters and D. Helbing, Decentralised control of material or traffic flows in networks using phase-synchronisation, Phys. Stat. Mech. Appl., 363 (2006), 39-47.
28. J.-P. Lebacque and M. M. Khoshyaran, First-order macroscopic traffic flow models: Intersection modeling, network modeling, in "16th International Symposium on Transportation and Traffic Theory" (ed. H. S. Mahmasani), Elsevier, 2005, 365-386.
29. M. J. Lighthill and G. B. Whitham, On kinematic waves: II. A theory of traffic on long crowded roads, Proc. Roy. Soc. London, Ser. A, 229 (1955), 317-345.
30. A. J. Mayne, Some further results in the theory of pedestrians and road traffic, Biometrika 41 (1954), 375-389.
31. C. H. Papadimitriou and J. N. Tsitsiklis, The complexity of optimal queuing network control, Math. Oper. Res., 24 (1999), 293-305.
32. K. Peters and U. Parlitz, Hybrid systems forming strange billiards, Int. J. Bifurcation and Chaos, 13 (2003), 2575-2588.
33. M. Sch"onhof and D. Helbing, Empirical features of congested traffic states and their implications for traffic modelling, Transpn. Sci, accepted (2006).
34. M. Treiber, A. Hennecke and D. Helbing, Congested traffic states in empirical observations and microscopic simulations, Phys. Rev. E, 62 (2000), 1805-1824.
35. R. J. Troutbeck, Average delay at an unsignalized intersection with two major each having a dichotomized headway distribution, Transport. Sci., 20 (1986), 272-286.
36. R. J. Troutbeck and W. Brilon, Unsignalized intersection theory, in "Traffic Flow Theory: A State-of-the-Art Report" (eds: N. Gartner, H. Mahmassani, C. H. Messer, H. Lieu, R. Cunard and A. K. Rathi),, Transportation Research Board, 1997, pp. 8.1-8.47.
37. G. B. Whitham, "Linear and Nonlinear Waves," Wiley, New York, 1974.