# Fundamentals of Transportation/Mode Choice/Homework

## HomeworkEdit

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.

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

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

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

${\displaystyle D_{W}=}$  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?