Fundamentals of Transportation/Mode Choice/Solution

40px|left|TProblemProblem: You are given the following mode choice model. Where: = travel cost between and by mode = dummy variable (alternative specific constant) for transit +Auto Travel costs Origin\Destination Dakotopolis New Fargo Dakotopolis 5 7 New Fargo 7 5 +Transit Travel costs Origin\Destination Dakotopolis New Fargo Dakotopolis 10 15 New Fargo 15 8 40px|left|ExampleSolution: Part A A. Using a logit model, determine the probability of a traveler driving. Solution Steps Compute Utility for Each Mode for Each Cell Compute Exponentiated Utilities for Each Cell Sum Exponentiated Utilities Compute Probability for Each Mode for Each Cell Multiply Probability in Each Cell by Number of Trips in Each Cell +Auto Utility: Origin\Destination Dakotopolis New Fargo Dakotopolis -5 -7 New Fargo -7 -5 +Transit Utility: Origin\Destination Dakotopolis New Fargo Dakotopolis -5 -10 New Fargo -10 -3 + Origin\Destination Dakotopolis New Fargo Dakotopolis 0.0067 0.0009 New Fargo 0.0009 0.0067 + Origin\Destination Dakotopolis New Fargo Dakotopolis 0.0067 0.0000454 New Fargo 0.0000454 0.0565 + Sum: Origin\Destination Dakotopolis New Fargo Dakotopolis 0.0134 0.0009454 New Fargo 0.0009454 0.0498 +P(Auto) = Origin\Destination Dakotopolis New Fargo Dakotopolis 0.5 0.953 New Fargo 0.953 0.12 +P(Transit) = Origin\Destination Dakotopolis New Fargo Dakotopolis 0.5 0.047 New Fargo 0.047 0.88 Part B B. Using the results from the previous problem (#2), how many car trips will there be? Recall + Total Trips Origin\Destination Dakotopolis New Fargo Dakotopolis 9395 5606 New Fargo 6385 15665 + Total Trips by Auto = Origin\Destination Dakotopolis New Fargo Dakotopolis 4697 5339 New Fargo 6511 1867 /Solutions