2. Using the cost table data and route network shown, determine the traffic flow and other parameters for 200 trips between A and C using User Equilibrium. 1 4
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![2. Using the cost table data and route network shown, determine the traffic flow and other
parameters for 200 trips between A and C using User Equilibrium.
1
4
A
2
3
B
Road Link
1
2
3
4
5
Determine the trips assigned in all routes.
5
C
Cost Function
0.3x₁
0.2x₂ + 1
0.1x3 + 7
0.3x4 + 15
0.2x5 + 5](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa71647f9-2642-471b-b6e5-f62db035bf6b%2F0f110377-53a6-4102-a235-165c09eb1818%2Ffduzsj_processed.png&w=3840&q=75)
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- Given the following transportation network and the production/attraction data in each zone. 4 min 1 3 min 2 min 3 min 5 7 min 4 min 4 min Production/Attraction Table 3 249.4 180.0 163.5 None of the above 2 3 min Zone 1 2 3 4 5 Production 600 475 1000 500 300 Attraction 400 200 100 420 0 The number of trips originating from Zon2 3 and ending in Zone 5 isGiven the following transportation network and the production/attraction data in each zone. 3 min 3 3 min 4 min 3 min 4 min 2 min 4 min 2 7 min Production/Attraction Table Zone 1 2 3 4 5 Production 600 1000 500 Attraction 300 200 350 400 The number of trips that originates from Zone 3 and ends in Zone 1 is 13 88 29 None of the aboveA 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 40
- hree routes connect an origin and a destination with performance functions: ?1=8+0.5?1; ?2=1+2?2; and ?3=3+0.75?3; with the x’s being the traffic volume expressed in thousands of vehicles per hour and t’s being the travel time expressed in minutes. If the peak hour traffic demand is 3400 vehicles, determine user equilibrium traffic flows. [Hint: Note that one of the paths will not be used under the equilibrium conditionThe following cross-classification data have been developed for a European city transportation study area. House Hold (HH) Autos/HH (%) Trip Rate/Auto (%) Income Trips (%) ($) High Med Low O1+2 0 1 +2 HBW HBO NHB 10,000 0 30 70 48 48 4 2.0 6.00 28.5 38 34 28 50 | 4 72| 24 2.5 7.5 30.0 38 2 53 45 20,000 30,000 40,000 50,000 50 50 00 19 81 7.5 12.0 39.0 20 50 34 28 10 70 20 4.0 9.0 33.0 35 34 31 20 75 5 1 32 57 5.5 10.5 36.0 27 35 38 37 60,000 70 30 43 40 0010 90 8.0 13.0 41.0 16 44 Develop the family of cross-classification curves and determine the number of trips produced (by purpose) for traffic zone containing 1000 houses with an average household income of $30,000. (Use high = 55,000; medium 25,000; low = 15,000.)land-use zone consists of 2000 single-family homes, 520 apartment units, and 3 hotels with 600 rooms each. Calculate the daily vehicular traffic generated by this zone, using the following equations: ts = 5+ 7.35US, ta = 7+ 6.25Ua = 2 + 12.00n t₁ = where the subscripts s, a, and h refer to homes, apartments, and hotels, respectively, and t and U refer to trips and housing units, respectively. Why is there a significant difference in trip production among the units?
- Given the following transportation network with travel time in minutes: 3 2 2. 3 4 3 The trip production from TAZ 3 is 1,000. The trip attractions from TAZ 3 to all other zones are shown below: From/To 1 500 2 300 4 Trip Attraction 300 The minimum path from zone 3 to zone 1 is: Links 3-4, 4-1 5 min Links 3-2, 2-1 Link 3-1Three routes connect an origin to a destination with the following link performance functions: t_1 = 8 + 0.5 x_2 t_2 = 1 + 2x_2 t_3 = 3 + 0.75x_3 where t's in minutes and x's in thousands of vehicle per hour. If the peak-hour traffic demand is 4000 vehicles, determine the user equilibrium (UE) flows.2. Assign the peak hour OD trips on the given road network. Use All-or-Nothing traffic assignment to determine the resulting link volumes. 3 45' 19' 24' 28' 44' 63' 4 Vehicle-trips: O\D 1 3 4 1 820 710 460 350 620 320 3 520 800 290 4 480 650 480
- 2) Given the following data for five traffic analysis zones (TAZ): Zone Production Attraction 1 1 2 4 The travel times are as follows: 5 13 min 20 min 15 min 450 600 270 325 0 9 min 7 min 5 min 3 400 750 120 0 350 Determine the trips on the following: T1-3 and T2-5.Problems 2. Solve for the best choice in terms of utility U=A-0.05X1 -0.02X2 3. For 300 trips, assign them using constant assignment ratio. Route 1 2 3 4 5 M Mode A Car -0.6 Jeep -0.3 Grab -0.4 Bus -0.5 Hours 1.1 1.2 1.3 1.4 1.5 X1 50 10 70 30 X2 30 45 20 35A 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.
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