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- QUESTION 1 The approaches of a 4-leg signalized intersection are configured with 1 NB lane, 1 SB lane, 1 EB lane, and 1 WB lane and each of these lanes serves LT, TH, and RT movements. The following volumes and phasing are provided. approach EB WB NB SB movement LT TH RT LT TH RT LT TH RT LT TH RT volume 120 480 160 80 560 100 20 200 40 12 160 48 2 6 What is the critical sum for the EB/WB barrier?At a specified point on a highway, vehicles are known to arrive according to a Poissonprocess. Vehicles are counted in 30-second intervals, and vehicle counts are taken in 120 ofthese time intervals. It is noted that no cars arrive in 18 of these 120 intervals. a) Approximate the number of these 120 intervals in which exactly three cars arrive. b) Estimate the Percentage of time headways that will be 10 seconds or greater andthose that will be less than 6 seconds.uestion 18 The density of traffic in a certain observation point on a highway was recorded to be 30 veh/km. If the space mean speed of the vehicle is 50 kph, how many vehicles will be passing every 30 minutes O A. 25.5 O B. 750 O C. 12.5 O D. 13 O E. None of the above «1. Planners have estimated the following models for the AM Peak Hour T₁ = 1.5 H₁ T; - (1.5 Euj1) + (1 Euthy) + (0.5 Eretj) Where: T - Person Trips Originating in Zone i T₁ = Person Trips Destined for Zone j H Esti Eath Eret Variable 10000 8000 3000 2000 Data Dakotopolis 15000 10000 5000 1500 New Fargo A. What are the number of person trips originating in and destined for each city? B. Normalize the number of person trips so that the number of person trip origins = the number of person trip destinations. Assume the model for person trip origins is more accurate.Consider the following plot of cumulative arriving and departing vehicles at a freeway bottleneck location: Vehicles 20,000 15,000 10,000 5,000 0 0 30 60 90 120 150 180 210 240 270 300 330 360 Time (mins) Arrivals (vehs) Departures (vehs) From this plot, determine the following: A. What is the capacity of the bottleneck location? 9000 whole number, i.e. X000.) B. What is the maximum size of the queue that develops? 3250 whole number, i.e. X000.) C. What is the longest wait time that any vehicle experiences during the breakdown? to the nearest whole number, i.e. XX.) (Hint: Provide the answer as a numerical number only in units of vehicles per hour and rounded to the nearest thousand (Hint: Provide the answer as a numerical number only in units of vehicles and rounded to the nearest thousand (Hint: Provide the answer as a numerical number only in units of minutes and roundedUsing Enumeration Method - list all paths and total duration. Activity Predecessor Normal time Normal cost Crash time Crash cost Max Crash Time Slope A - 12 $200 9 $350 B A 8 $300 8 $300 C A 9 $250 7 $450 D B 6 $400 5 $600 E B,C 5 $150 4 $225 F C 10 $500 9 $650 G D,E,F 8 $400 6 $900A three-zone city has the following characteristics: Zone 1 Zone 2 Zone 3 Initial travel time factors are Production Travel time (min) Fij 500 600 200 Distances (time): 1-2: 10 min 2-3: 15 min 3-1: 20 min Distribute the trips using the gravity model. 10 80 Attraction 15 60 400 800 100 20 40Estimate the maximum number of cars in a single lane of traffic that would pass a check-point in one hour at an average speed of 50 mph. Safe driving practice requires one car length of spacing for each 10 mph speed. (a) Layout the procedure for making the estimation including assumptions, diagrams, equations, etc.Part 2 - Solving: Observers stationed at two sections A-A and B-B, 200 m apart on a highway, record the arrival times of four vehicles as shown in the table. %3 Vehicle Section A-A Section B-B To + 7.6 sec To + 10.4 sec To + 15.1 sec I To + 23.4 sec If the total time of observation at A-A was 20 seconds, determine: (a) the time mean speed in A To + 4.2 sec To + 8.7 sec To + 13.7 seC B C KPH, (b) the space mean speed in KPH, (c) the flow at section A-A in veh/hr, (d) time headway in seconds, and (c) traffic density in veh/km. 5 points each.A mode choice logit model is to be developed based on the following information. A surveyof travellers in an area with bus service found the following data:Model Parameter Auto BusX1, waiting time (min.) 0 10X2, travel time (min.) 20 35X3, parking time (min.) 5 0X4, out-of-pocket cost (cents) 225 100Ak, calibration constant _0.33 _0.27The following utility functions were calibrated based on an observed mode split of 84.9%private auto use and 15.1% bus use.Utility function: Uk = Ak -- 0.10 X1 - 0.13 X2 - 0.12 X3 - 0.0045 X4After implementing service improvements to the buses, the mode split changed to 81.6%private auto use and 18.4% bus use. Determine a value for the calibration constant for the busmode that reflects this shift in mode split.Spot speed study was carried out redesign the stretch of major district road. The data collected during th estudy is given below. (1) (ii) Speed Range kmph 0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80 80-90 90-100 Frequency of vehicles Cars Two Wheelers 5 20 24 20 30 35 25 10 10 1 0 6 12 30 60 35 35 15 18 9 What is the design speed for redesigning existing MDR? What are upper and lowe speed limits for mixed traffic? Others 0 4 4 5 30 30 15 10 2 0Question 2: Speed observations from a radar speed meter have been taken, giving the speeds of the subsidiary streams composing the flow along with the volume of traffic of each subsidiary stream. The readings are as under: Calculate: (i) Time-mean speed (ii)Space-mean speed (iii) Variance about space mean speed. Is pitn 50 puns on s pese sped Speed Volume of subsidiary mmidel spued (km hr) stream (Vehicle hour) 2-5 6-9 4 10-13 14-17 18-21 20 2-5 22-25 44 26-29 80 30-33 82 34-37 79 38-41 49 42-45 36 46-49 26 50-53 6. 54-57 10 58-61SEE MORE QUESTIONS