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5) In contrast to the Greenshield's model of traffic flow that considers a linear relationship, the Greenberg model assumes a non-linear relationship between space-mean speed (u) and density (k) as follows: u= u, ln where u, is the free flow speed and k, is the jam density. Derive the expression for the maximum value of flow (max) aka capacity in terms of u, and k, using Greenberg model.

5) In contrast to the Greenshield's model of traffic flow that considers a linear relationship, the Greenberg model assumes a non-linear relationship between space-mean speed (u) and density (k) as follows: u= u, ln where u, is the free flow speed and k, is the jam density. Derive the expression for the maximum value of flow (max) aka capacity in terms of u, and k, using Greenberg model.

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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5) In contrast to the Greenshield's model of traffic flow that considers a linear relationship, the Greenberg model assumes a non-linear relationship between space-mean speed (u) and density (k) as follows: u = Uf In where uf is the free flow speed and k, is the jam density. Derive the expression for the maximum value of flow (max) aka capacity in terms of u, and k, using Greenberg model.
Transcribed Image Text:5) In contrast to the Greenshield's model of traffic flow that considers a linear relationship, the Greenberg model assumes a non-linear relationship between space-mean speed (u) and density (k) as follows: u = Uf In where uf is the free flow speed and k, is the jam density. Derive the expression for the maximum value of flow (max) aka capacity in terms of u, and k, using Greenberg model.
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