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Vehicular traffic models for speed-density-flow relationship | ||
| Journal of Mathematical Modeling | ||
| مقاله 9، دوره 8، شماره 3، شهریور 2020، صفحه 241-255 اصل مقاله (633.74 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2020.15409.1370 | ||
| نویسندگان | ||
| Gabriel O. Fosu* ؛ Emmanuel Akweittey؛ Joseph M. Opong؛ Micheal E. Otoo | ||
| Department of Mathematics, Presbyterian University College, Ghana | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| LWR model؛ shockwaves؛ speed-density equation؛ traffic flow | ||
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