The relationship among vehicles on the road is modeled using fundamental traffic equations. In traffic modeling, a particular speed-density equation usually fits a peculiar dataset. The study seeks to parameterize some existing fundamental models so that a given equation could match different dataset. The new equations are surmisal offshoots from existing equations. The parameterized equations are used in the LWR model and solved using the Lax-Friedrichs differencing scheme. The simulation results illustrate different scenarios of acceleration and deceleration traffic wave profiles. The proposed models appropriately explain the varying transitions of different traffic regimes.
Fosu, G., Akweittey, E., Opong, J. M., & Otoo, M. E. (2020). Vehicular traffic models for speed-density-flow relationship. Journal of Mathematical Modeling, 8(3), 241-255. doi: 10.22124/jmm.2020.15409.1370
MLA
Gabriel O. Fosu; Emmanuel Akweittey; Joseph M. Opong; Micheal E. Otoo. "Vehicular traffic models for speed-density-flow relationship". Journal of Mathematical Modeling, 8, 3, 2020, 241-255. doi: 10.22124/jmm.2020.15409.1370
HARVARD
Fosu, G., Akweittey, E., Opong, J. M., Otoo, M. E. (2020). 'Vehicular traffic models for speed-density-flow relationship', Journal of Mathematical Modeling, 8(3), pp. 241-255. doi: 10.22124/jmm.2020.15409.1370
VANCOUVER
Fosu, G., Akweittey, E., Opong, J. M., Otoo, M. E. Vehicular traffic models for speed-density-flow relationship. Journal of Mathematical Modeling, 2020; 8(3): 241-255. doi: 10.22124/jmm.2020.15409.1370
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