In a freeway traffic stream, the capacity flow was observed to be 2200 veh/h/ln, and the jam density at this location had been observed to be 125 veh/ln/mi. If the traffic stream is modeled using Greenberg’s model, determine the optimum speed and optimum density. If the traffic stream is modeled using Greenshields’ model, determine the free flow speed, optimum density, and optimum speed.

What will be an ideal response?


a) For the Greenshields model:

i. The mean free flow speed can be calculated by Equation 6.25:





ii. For maximum flow, the optimum speed is given by Equation 6.23:



iii. For maximum flow, the optimum density is given by Equation 6.24:



b) For the Greenberg model:

i. For maximum flow, the optimum density can be calculated by Equation 6.27:



ii. For maximum flow, the speed will be:

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