Fundamentals of Transportation/Mode Choice/Problem

Problem:

You are given the following mode choice model.

$U_{ijm} = -1 C_{ijm} + 5 D_T\,\!$

Where:

• C_ijm = travel cost between i and j by mode m
• D_T = dummy variable (alternative specific constant) for transit

and Travel Times

Auto Travel Times

Origin\Destination	Dakotopolis	New Fargo
Dakotopolis	5	7
New Fargo	7	5

Transit Travel Times

Origin\Destination	Dakotopolis	New Fargo
Dakotopolis	10	15
New Fargo	15	8

A. Using a logit model, determine the probability of a traveler driving.

B. Using the results from the previous problem (#2), how many car trips will there be?

• Solution