Some remarks on macroscopic traffic flow modelling
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- Papageorgiou, Markos & Blosseville, Jean-Marc & Hadj-Salem, Habib, 1989. "Macroscopic modelling of traffic flow on the Boulevard Périphérique in Paris," Transportation Research Part B: Methodological, Elsevier, vol. 23(1), pages 29-47, February.
- Sanwal, Kumud K. & Petty, Karl & Walrand, Jean & Fawaz, Youssef, 1996. "An extended macroscopic model for traffic flow," Transportation Research Part B: Methodological, Elsevier, vol. 30(1), pages 1-9, February.
- Del Castillo, J. M. & Pintado, P. & Benitez, F. G., 1994. "The reaction time of drivers and the stability of traffic flow," Transportation Research Part B: Methodological, Elsevier, vol. 28(1), pages 35-60, February.
- Daganzo, Carlos F., 1995. "Requiem for second-order fluid approximations of traffic flow," Transportation Research Part B: Methodological, Elsevier, vol. 29(4), pages 277-286, August.
- Daganzo, Carlos F., 1994. "The cell transmission model: A dynamic representation of highway traffic consistent with the hydrodynamic theory," Transportation Research Part B: Methodological, Elsevier, vol. 28(4), pages 269-287, August.
- Leo, Chin Jian & Pretty, Robert L., 1992. "Numerical simulation of macroscopic continuum traffic models," Transportation Research Part B: Methodological, Elsevier, vol. 26(3), pages 207-220, June.
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- Wu, Xinkai & Liu, Henry X., 2011. "A shockwave profile model for traffic flow on congested urban arterials," Transportation Research Part B: Methodological, Elsevier, vol. 45(10), pages 1768-1786.
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- Kachani, Soulaymane & Perakis, Georgia, 2006. "Fluid dynamics models and their applications in transportation and pricing," European Journal of Operational Research, Elsevier, vol. 170(2), pages 496-517, April.
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