Suppose that the results of a peak-hour trip generation analysis for a five-zone small urban area is as follows: Trip Productions: P=11,000 P:-93,300 P=12,900 P-203,500 Ps-90,700 person-trips Trip Attractions: A,=135,800 A;-57,500 A,-80,900 A,-72,000 A;-85,200 person-trips Given the following friection factor matrix (based on travel time and cost factors) as follows: Fy Matrix To zone 2 34 0.78 0.44 0.55 0.28 0.28 From Zone 2 0.44 1.30 0.40 0.70 0.33 0.55 0.40 1.30 0.44 0.80 4 0.28 0.70 0.44 1.80 0.44 5 0.28 0.33 0.80 0.44 1.80 Calculate the expected peak-hour trip distribution from zone 2 to zone 5 (T2s =?).
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- The present trip ends and travel time matrix between the zones are shown in Tables 6.75 and 6.76, respectively. Travel impendance factor between the zones may be assumed to be e-ti. The socio-economic adjustment factors between the zones may be assumed to one. Calculate the trip interchanges between the zones by using the gravity model. TABLE 6.75 Zones Trips produced Trips attracted 1 2 3 2500 3300 3200 TABLE 6.76 1 2 3 1-15 20 2 15 10 3 20 10 I 3000 4000 2000I 100 3 25 300 1 Current Year IV 50 75 25 200 Future Year T[I] T[I] 250 4 400 2 150 III = 300 = 1000 T [III] = 800 T [IV] = 300 Distribute the trips for inter zonal movement based on Uniform Growth Factor Method and Detroit Method. Compare the iteration number & give your conclusion.A Study area with four transportation analysis zones has the following information: Table 3: Trip productions and attractions for a four-zone study area and travel time between zones. Travel Time, (t) (min) Zone Trip productions Trip I 220 2 240 3 330 4 230 attractions 350 270 210 190 Table 4: Travel time versus friction factor. Time (min) 2 Friction Factor 61 1 78 from zone 1 4 9 10 6 3 47 4 37 from zone 2 5 29 5 6 7 5 6 22 from zone 3 7 17 6 8 7 6 8 14 from zone 4 9 10 8 9 11 7 10 8 Using a gravity model, determine the number of trips from zone to zone through two iterations. (Assume that the socioeconomic adjustment factor is 1.0).
- In a survey in the base year, the trip attraction, number of employees and shopping area in the zones are found as follows: Zone 1 2 3 4 5 6 7 8 9 10 Trip attraction (Trips/day) 34,000 33,000 37,000 9,000 19,000 20,000 50,000 22,000 21,000 5,000 Number of employees (persons) 2000 1500 3000 500 1000 1000 3200 1800 1600 200 Shopping area (m²) 250,000 350,000 150,000 80,000 160,000 180,000 350,000 60,000 100,000 50,000 Prepare a excel worksheet to calculate the generation model by regression analysis.a) Table 4 indicates an urban zone’s expected household composition at some future year and the calibrated educational-based trip rates. Estimate the total educational-based trips in terms of "y" that the urban zone will produce on a typical day in the horizon year. (A Table 4: Household composition and trip generation rates Number of motor vehicles per household Number of persons per household 1 2793 1.7y 4 5+ 2046 H. 344 2472 3092 R 0.8y 2.Зу 717 3.1x 2.4y 1022 3.1x 2.4y 726 2+ H 294 2.1x R 1.6x 3.3х H= Number of households in category R= Educational trip production rate (per household) in category x-0.5yExample: The figure represents travel times on the link connecting six zonal centroids. Determine the minimum path from each zone to each other zone. Use the all-or-nothing assignment method to determine the total trips for each link after all of the trips from the following two-way trip table have been loaded onto the network. From/To 1 1 0 2 3 4 5 6 3.3 4.3 5 4.8 3 Trips Between Zones 2 1000 0 7.2 2.2 3 1100 1050 0 12.6 6 7.8 5.0 4 400 700 5 1000 1100 1200 1150 0 800 0 5.0 1 8.4 2 6 1300 1200 1600 400 700 0
- A zone has been divided into four large districts (traffic zones). The following data has been collected for those districts. Provide a trip distribution calculation (single constrained) using the gravity model. Assume Kij = 1 (Check balancing of Tij = A after the first iteration) District 1 2 3 4 Travel Time Fij Productions 3400 6150 3900 2800 1 2.0 Attractions 2800 6500 2550 4400 4 1.6 6 1.0 1 4 11 15 10 9 10 0.9 0.86 Travel time (min) 2 3 11 15 6 6 6 6 9 11 11 12 0.82 0.80 4 10 9 11 4 15 20 0.68 0.49Determine the share (proportion) of person-trips by each of two modes (private auto and mass transit) using the multinomial logit model and given the following information: Utility function: Uk = Ak – 0.07 Ta – 0.05 Tw – 0.04 Tr – 0.015 CProblems 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 35
- Problem 2 - Use of multi-nomial logit model for estimation of modal split Use a logit model to determine the probabilities of a group of 5000 work commuters choosing between three modes of travel during the morning peak hour, including Privite car, Bus and Light rail If 1450 commuters travel by bus, 950 commuters taking light rail, determine the travel time of driving private cars (T). The utility functions for the three modes are estimated using the following equations: Uc = 2.4 – 0.4C – 0.05 T Ug = 1.4 – 0.4C – 0.05T ULR= 0.4 – 0.4C– 0.05T where C = cost (£) T= travel time (minutes) For all workers: • The cost of driving is £6.00 with a travel time of T minutes • The bus fare is £2.50 with a travel time of 50 minutes The rail fare is £2.80 with a travel time of 35 minutes. where P = probability that mode m is chosen m' = index over all modes included in chosen setThe following 3 Travel Demand Forecasting models were created to estimate the number of peak-hour trips in the suburb of Croydon: T1 = 1.0 + 0.3(household size) + 0.01(household income in thousands of $) T2 = 1.5 + 0.2(household size) + 0.01(household income in thousands of $) T3 = 0.5 + 0.5(household size) + 0.01(household income in thousands of $) The suburb has a total of 3500 households with an average of 4 people per household, an average household income of $90,000 and survey data shows that it generates a total of 11,550 trips in the peak-hour. Which of the above models is the most accurate? A. T1 B. T2 C. T3 D. Can't say as 2 or more models are equally accurate.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 3-1