The two-regime transmission model for network loading in dynamic traffic assignment problems

Transportmetrica A: Transport Science

Volumn 10, Issue 7, 2014, Pages 563-584

  Balijepalli, N C ^a   Ngoduy, D ^a   Watling, D P ^a  

^a UNIVERSITY OF LEEDS   (United Kingdom)

Author keywords

cell transmission model; dynamic network loading; dynamic traffic assignment; LWR model; two regime transmission model

Indexed keywords

EID: 84900392835     PISSN: 23249935     EISSN: 23249943     Source Type: Journal    
DOI: 10.1080/18128602.2012.751680     Document Type: Article

References (25)

1. Astarita, V. 1996. A continuous time link model for dynamic network loading based on travel time function, In: 13th international symposium on transportation and traffic theory, Lyon, Elsevier, Oxford, UK, 79-102.
2. Bar-Gera, H., 2005. Continuous and discrete trajectory models for dynamic traffic assignment. Networks and Spatial Economics, 5, 41-70. doi: 10.1007/s11067-005-6661-8
3. Bliemer, M.C.J., 2007. Dynamic queuing and spillback in analytical multiclass dynamic network loading model. Transportation Research Record, 2029, 14-21. doi: 10.3141/2029-02
4. Carey, M., 2004a. Link travel times I: desirable properties. Networks and Spatial Economics, 4, 257-268. doi: 10.1023/B:NETS.0000039782.48154.ef
5. Carey, M., 2004b. Link travel times II: properties derived from traffic-flow models. Networks and Spatial Economics, 4, 379-402. doi: 10.1023/B:NETS.0000047114.31259.3d
6. Carey, M., Ge, Y.E., and McCartney, M., 2003. A whole-link travel time model with desirable properties. Transportation Science, 37, 183-96. doi: 10.1287/trsc.37.1.83.12819
7. Daganzo, C.F., 1994. The cell transmission model: a dynamic representation of highway traffic consistent with the hydrodynamic theory. Transportation Research B, 28, 4269-287. doi: 10.1016/0191-2615(94)90002-7
8. Daganzo, C.F., 1995. The cell transmission model, part II: network traffic. Transportation Research B, 29, 279-93. doi: 10.1016/0191-2615(94)00022-R
9. Friesz, T.L.et al., 1993. A variational inequality formulation of the dynamic network user equilibrium problem. Operations Research, 41, 1179-191. doi: 10.1287/opre.41.1.179
10. Gentile, G., Meschini, L., and Papola, N., 2007. Spillback congestion in dynamic traffic assignment: a macroscopic flow model with time varying bottlenecks. Transportation Research Part B, 41, 1114-1138. doi: 10.1016/j.trb.2007.04.011
11. Lighthill, M.H. and Whitham, G.B 1955. On kinematic waves 2: a theory of traffic flow on long, crowded roads. Proceedings of the Royal Society of London, A 229, 317-345. doi: 10.1098/rspa.1955.0089
12. Lo, H.K., and Szeto, W.Y., 2002. A cell-based variational inequality formulation of the dynamic user optimal assignment problem. Transportation Research, 36B, 421-443. doi: 10.1016/S0191-2615(01)00011-X
13. Long, J., Gao, Z., and Szeto, W.Y., 2010. Discretised link travel time models based on cumulative flows: formulations and properties. Transportation Research B, 45, 1232-254. doi: 10.1016/j.trb.2010.05.002
14. Merchant, D.K., and Nemhauser, G.L., 1978. a model and an algorithm for the dynamic traffic assignment problems. Transportation Science, 12, 3183-199. doi: 10.1287/trsc.12.3.183
15. Newell, G.F., 1993. A simplified theory of kinematic waves in highway traffic (parts 1, 2 and 3). Transportation Research Part B, 27, 4281-313. doi: 10.1016/0191-2615(93)90038-C
16. Nie, Y., Ma, J., and Zhang, H.M., 2008. A polymorphic dynamic network loading model. Computer Aided Civil and Infrastructure Engineering, 23, 286-103. doi: 10.1111/j.1467-8667.2007.00525.x
17. Nie, X., and Zhang, H.M., 2005. A comparative study of some macroscopic link models used in dynamic traffic assignment. Networks and Spatial Economics, 5, 189-115. doi: 10.1007/s11067-005-6663-6
18. Peeta, S., and Ziliaskopoulos, A.K., 2001. Foundations of dynamic traffic assignment: the past, the present and the future. Networks and Spatial Economics, 1, 233-265. doi: 10.1023/A:1012827724856
19. Richards, P.I., 1956. Shock waves on the highway. Operations Research, 4, 42-51. doi: 10.1287/opre.4.1.42
20. Sheffi, Y., 1985. Urban transportation networks. New Jersey: Prentice-Hall.
21. Smith, M.J., 1983. The existence of an equilibrium distribution of arrivals at a single bottleneck. Transportation Science, 18, 385-394. doi: 10.1287/trsc.18.4.385
22. Sod, G.A., 1985. Numerical methods in fluid dynamics. Cambridge, MA: Cambridge University Press.
23. Szeto, W.K., and Lo, H.K., 2006. Dynamic traffic assignment: properties and extensions. Transportmetrica, 2, 131-52. doi: 10.1080/18128600608685654
24. Xu, Y.W.et al., 1999. Advances in the continuous dynamic network loading problem. Transportation Science, 33, 4341-353. doi: 10.1287/trsc.33.4.341
25. Yperman, I., et al., 2006. Multicommodity link transmission model for dynamic network loading. In: Proceedings of the 85th annual meeting of the transportation research board, Washington, DC.