Fundamentals of Transportation/Trip Generation/Solution2

TProblem

Problem:

Modelers have estimated that the number of trips leaving Rivertown (T_O) is a function of the number of households (H) and the number of jobs (J), and the number of trips arriving in Marcytown (T_D) is also a function of the number of households and number of jobs.

$T_{O}=1H+0.1J;R^{2}=0.9\,\!$

$T_{D}=0.1H+1J;R^{2}=0.5\,\!$

Assuming all trips originate in Rivertown and are destined for Marcytown and:

Rivertown: 30000 H, 5000 J

Marcytown: 6000 H, 29000 J

Determine the number of trips originating in Rivertown and the number destined for Marcytown according to the model.

Which number of origins or destinations is more accurate? Why?

Example

Solution:

Determine the number of trips originating in Rivertown and the number destined for Marcytown according to the model.

T_Rivertown =T_O ; T_O= 1(30000) + 0.1(5000) = 30500 trips

T_(MarcyTown)=T_D ; T_D= 0.1(6000) + 1(29000) = 29600 trips

Which number of origins or destinations is more accurate? Why?

Origins(T_{Rivertown}) because of the goodness of fit measure of the Statistical model (R^2=0.9).