Fundamentals of Transportation/Mode Choice/Solution

 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

 Solution:  Part A 

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

Solution Steps


 * 1) Compute Utility for Each Mode for Each Cell
 * 2) Compute Exponentiated Utilities for Each Cell
 * 3) Sum Exponentiated Utilities
 * 4) Compute Probability for Each Mode for Each Cell
 * 5) Multiply Probability in Each Cell by Number of Trips in Each Cell

Part B

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

Recall

/Solutions