Soil classification using AASHTO method

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Chapter 17, Problem 12P

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Soil classification using AASHTO method

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A market segment consists of 500 individuals. A Logit mode choice model (with logit parameter equal to 1) has been estimated for this market resulting in the following utility function: U = ẞm 0.40C 0.037 where C is out-of-pocket cost in $ and T is travel time in min. Values of ẞm are: Bus: 0.00; Rail: 0.50; Car: 1.50. For a particular origin-destination pair, the cost of a car trip is $2 and the duration 8 minutes, a rail trip is $1.50 and takes 12 minutes, while a bus takes 20 minutes and costs $1.25. a. Predict the number of trips for each mode. b. Which one of the following policies would lead to the largest increase in bus passengers? Why? (i) An increase in the price of gas that increases the cost of a car trip to $3, while all other parameters remain constant. (ii) Introducing an express service that decreases the travel time of the rail to 10 min, while all other parameters remain constant. (iii) Decrease the cost of the bus to $1, while all other parameters remain constant.

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In this question, we are going to learn about the gravity model. As discussed in class, an alternative and frequent way to model the demand is doing it in 4 steps: Generation/Attraction, Distribution, Mode choice, and Route choice. In the generation/attraction step, we estimate the number of trips that depart and arrive from each zone, in a similar way as we studied generation in the lectures. The idea of the distribution step is, taking the generation and attraction numbers as known, estimate the number of people going from each zone to each zone. Let's be precise: Consider that you know O₂ for every zone i, representing the number of users that have i as their origin. Similarly, you know Dj, representing the number of users that have j as their destination. We want to estimate Mij, i.e., the number of users going from i to j. The matrix M