Fundamentals of Transportation/Mode Choice/Homework

Homework

1. Identify five independent variables that you believe affect mode choice. Pose hypotheses about how each variable affects share of travel by each mode.

2. Explain Independence from Irrelevant Alternatives

3. You are given the following mode choice model.

$U_{ij}=-2C_{ijm}+5D_{T}-5D_{W}$

Where: $C_{ijm}=$ travel time between i and j by mode m

$D_{T}=$ dummy variable (alternative specific constant) for transit

$D_{W}=$ dummy variable (alternative specific constant) for walking

Here auto is assumed the baseline mode.

The auto travel time between zones (in minutes) is given by the following matrix:

Origin \ Destination	To Dakotopolis	To New Fargo
From Dakotopolis	5	9
From New Fargo	9	4

The transit travel time between zones (in minutes) is given by the following matrix:

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

The walk travel time between zones (in minutes) is given by the following matrix:

Origin \ Destination	To Dakotopolis	To New Fargo
From Dakotopolis	10	30
From New Fargo	30	10

Using a logit model, what is the probability of a traveler taking transit?