Engineering Fundamentals: An Introduction to Engineering
Engineering Fundamentals: An Introduction to Engineering
6th Edition
ISBN: 9780357112311
Author: Saeed Moaveni
Publisher: Cengage Learning US
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Chapter 4, Problem 34P
To determine

Present the Example problem 13.6 in chapter 13 using the format as “Given”, “Find” and “Solution”.

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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
= a2+ Assume an origin is connected to a destination with two routes. Assume the travel time of each route has a linear relationship with the traffic flow on the route (t₁ = α₁ + b₁x₁ ; t₂ b2x2). Determine under what condition (e.g. a relationship among the parameters of the performance functions) tolling cannot reduce the total travel time of the two routes.
A suburb has 2000 households. The council hired two transport consulting companies to predict the generated work trips from within the suburb after building a few residential complexes. The new buildings will increase the number of households to 2500. The following information is provided: Type Household Size Household Count Projected Household Count 1 1 500 800 2 2 800 900 3 3 700 800 Each company has conducted different travel surveys from 200 households based on different sampling methods. The work trip generation models are as follows: Company A: T₁ = -0.1 + 0.8 (household size) Company B: T₁ = 0.1 + 0.5 (household size) a. If the total number of current work trips is 2700, which model should be used for prediction? Why? b. What are the possible reasons for the difference between the two models? C. As a transport engineer working for council, propose a new and more accurate model based on Companies A and B models. d. Based on the new model in Part C, predict the number of work…
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