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Vehicular Traffic Models for Speed-Density-Flow Relationship

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Document pages: 15 pages

Abstract: 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 data set. The study seeks to parameterize some existing fundamental models so that a given equation could match different data set. 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.

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