a5_cee3604_2011

a5_cee3604_2011 - CEE 3604: Introduction to Transportation...

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Unformatted text preview: CEE 3604: Introduction to Transportation Engineering Fall 2011 Assignment 5: Traffic and Mass Transit Modeling Date Due: October 17, 2011 Instructor: Trani Problem 1 The Greenberg model is known to be: u = c ln k j k ⎛ ⎝ ⎜ ⎞ ⎠ ⎟ where: u is the space mean speed (km/hr), k j is the jam density (veh/la-km), k is the density of the flow (veh/la-km) and c is a model parameter (km/hr). Data collected in a highway in the U.S. is presented in the file called a5_2011_Highway_Data. The file contains two columns: Column 1 = speed (km/hr) Column 2 = density (veh/la-km) a) Plot the three key traffic flow variables (speed vs density, density vs. flow and speed vs. flow). b) Transform the data to linearize the data, perform regression analysis and estimate the parameters c and k j of the Greenberg model. c) Estimate how good is the Greenberg model compared to the data. Explain. d) Find the maximum capacity of the highway (per lane)....
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This note was uploaded on 12/31/2011 for the course CEE 3604 taught by Professor Katz during the Fall '08 term at Virginia Tech.

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a5_cee3604_2011 - CEE 3604: Introduction to Transportation...

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