Midterm1_Part1_2022 (1)

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University of Utah *

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3520

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Civil Engineering

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Feb 20, 2024

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Spring 2022 CVEEN 3520 Midterm I Examination Part I The University of Utah Department of Civil and Environmental Engineering 10:45 AM -11:35 AM Submission Deadline on Canvas (if online): 11:40 AM This examination is open-book and open-notes. There are three sections. Section I contains 4 multiple choice questions, Section II has 4 true-or-false questions, and Section III is composed of 1 assignment-type question. Carefully read each question and be sure that you answer what is asked. Solution steps for problems in Section III should be clearly shown with answers clearly denoted (e.g., box or underline the answer). For those who take the exam online, either scanned copy or photos taken by your phone is acceptable. Name (last, first): __________________________________________ 1
Section I: (12 points) Circle the correct answers. There is only one correct answer for each of the following questions. [3 points each] 1. Consider a study area consisting of three zones. The number of trip productions and trip attractions has been computed for each zone, and the friction factor matrix has been determined. What is the number of trips from zone 2 to zone 3 through one iteration? By one iteration, it means through only one-time computation of gravity model. Zone 1 2 3 Total Trip production 140 330 280 750 Trip attraction 300 270 180 750 Friction factor matrix Zone 1 2 3 1 0.39 0.52 0.50 2 0.52 0.26 0.26 3 0.50 0.26 0.39 (a) 57 trips (b) 68 trips (c) 52 trips (d) 85 trips 2. The speed of five cars are recorded using a radar gun as follows: 45, 30, 27, 34, and 33 mph. What is the space mean speed? (a) 34.2 mph (b) 31.6 mph (c) 32.8 mph (d) 33.8 mph 3. On a given day, 425 veh/hr arrive at a tollbooth located at the end of an off-ramp of a rural expressway. If the vehicles are serviced by only a single channel at the service rate of 625 veh/hr, what is the average waiting time in the queue? Performance is described by an M/M/1 model. (a) 12.24 seconds/veh (b) 6.12 seconds/veh (c) 18 seconds /veh (d) Cannot be determined because more information is needed for the calculation 2
Section II: (8 points) For each of the following statements, please indicate whether it is True (T) or False (F). If any part of the statement is wrong, it is false. [2 points each] 1. Logit model is used to model mode choice in 4-step planning model. For a specific mode, the higher the utility, the less preferable the mode is, and correspondingly, the less proportion of trips will be using that mode. 2. In traffic assignment, user-equilibrium will produce smaller total travel time than the system optimum. 3. Traffic Analysis Zone (TAZ) is a unit of geography in transportation planning. Each TAZ is assumed to be homogeneous demographically and economically. 4. In the time-space diagram that depicts the vehicles’ trajectories (see figure), the number of trajectories crossing the red line represents traffic volume (vehicles per unit time). Time (t) Distance (x) 3
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Section III: 1. A transit authority wishes to determine the number of total travelers in a corridor that will shift from auto to a proposed new bus line. Since local data are unavailable, they will use utility function published in NCHRP Report 365: Travel Estimation Techniques for Urban Planning, which is written as: Utility i =b × IVTT+c × OVTT+d × COST where Utility i =utility function for mode i IVTT =in-vehicle travel time (min) OVTT =out-of-vehicle travel time (min) COST =out-of-pocket cost (cents) and the coefficients published in the report are: b= -0.025 c= -0.050 d = 1248 TVP× AI where TVP=the ratio of (value of one hour travel time) and (hourly employment rate) AI= the average annual regional household income, ($). It is believed that the key factors in the decision to use transit will be time and cost. Average annual household income of the area is $60,000, TVP=0.30. System times and cost values are as follows. Variable Bus Auto IVTT (min) 30 20 OVTT (min) 6 8 COST (cents) 100 320 Determine the portion of people who will use the new bus line. [12 points] 4
Problem 1 Additional Workspace 5