8.11 A total of 725 auto-mode social/recreational trips are made from an origin (residential area) during the peak hour. A logit model estimation is made, and three factors were found to influence the destination choice: (1) population at the destination, in thousands (coefficient = 0.17); (2) distance from origin to destination, in miles (coefficient = -0.23); and (3) square feet of amusement floor space (movie theaters, video game centers, etc.), in thousands (coefficient = 0.10). Four possible destinations have the following characteristics: Distance from Amusement Population origin (thousands) (mi) (thousands of ft²) space Destination 1 15.5 7.5 5 Destination 2 6.0 5 10 Destination 3 0.8 2 8 Destination 4 5.0 7 15 Determine the distribution of trips among possible destinations.

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.

Q1. The following is the number of trips and the number of households by the number of persons per household and the level of household income in a given zone. Persons/hh 1 2 3 4 5 or above Low Persons/household 1 2 3 4 5 or more No. of hh Trip No. No. of hh 93 222 149 72 341 138 59 417 125 120 1010 109 13 107 37 Income Medium The forecasted number of households in the study area for a target year is shown below. Low 120 100 90 150 30 Trip No. 616 853 1025 1186 457 High No. of hh Trip No. 96 360 27 205 33 381 40 471 33 423 Income Medium 280 220 190 180 60 High 130 40 50 70 60 (a) Calculate the forecasted number of trips for each combination of the number of persons per household and the level of household income. (b) Alternatively, trip rate can be estimated using the following linear regression equation. Trip rate=0.46+ 1.96 × NPERSON + 1.66 x HINCOME Where NPERSON = no. of persons per household (= 5 for 5 or more persons in household); HINCOME = level of household income (= 0 for low…

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 rounded

It was estimated that the number of trips between north Davis and the campus during the 8-9 AM peak hour is given by the following trip generation model: Q = 500 + 5.0(class) + 0.05(students) where Q is the total number of trips during the peak hour, class is the number of classes taught between 8-9 AM, and students is the number of students on campus. It was further estimated that there are 80 classes taught on campus between 8-9 AM and the student population is 15,000. Furthermore, these trips were accomplished by three modes: auto, Unitrans, and bicycles, whose shares are determined by the following multinomial logit choice model: Um = βm − 0.50C − 0.02T where C is out-of-pocket cost (dollars) and T is travel time (minutes). Values of βm are: Auto : 4.50 U nitrans : 3.0 Bicycle : 2.50 Suppose that the cost of an auto trip, which takes 8 minutes, is $5.50 (includes parking); Unitrans, which takes 25 minutes, costs $1.00; bicycle trips take 12 minutes and cost $0.50 per trip. (a)…

a. Determine the share (proportion) ofperson-trips by each of two modes(private auto and mass transit) using themultinomial logit model and given the following information:Utility function: Uk = Ak - 0.05 Ta - 0.04 Tw - 0.03 Tr - 0.014 CParameter Private Auto BusTa = access time (min.) 5 10Tw = waiting time (min.) 0 15Tr = riding time (min.) 25 40C = out-of-pocket cost (cents) 150 100Calibration constant, Ak 0.01 0.07 b. After implementing service improvements to the buses, the mode splitchanged to 60.6% private auto use and 39.4% bus use. Determine avalue for the calibration constant for the bus mode that reflects this shiftin mode split.

It was estimated that the number of trips between north Davis and the campus during the 8-9 AM peak hour is given by the following trip generation model: Q = 500 +5.0(class) +0.05(students) where Q is the total number of trips during the peak hour, class is the number of classes taught between 8-9 AM, and students is the number of students on campus. It was further estimated that there are 80 classes taught on campus between 8-9 AM and the student population is 15,000. Furthermore, these trips were accomplished by three modes: auto, Unitrans, and bicycles, whose shares are determined by the following multinomial logit choice model: Um = Bm 0.50C 0.02T where C is out-of-pocket cost (dollars) and T is travel time (minutes). Values of ẞm are: Auto: 4.50 Unitrans: 3.0 Bicycle: 2.50 Suppose that the cost of an auto trip, which takes 8 minutes, is $5.50 (includes parking); Unitrans, which takes 25 minutes, costs $1.00; bicycle trips take 12 minutes and cost $0.50 per trip. (a) Compute the…

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 is

to no congestion on the road further downstream of the railway grade crossing. QUESTION 5: Consider trip distribution within 5 zones in an area. The total trip production from zone 1 is 1000. The travel times from zone 1 to zones 2, 3, 4 and 5 are 5, 10, 20, and 30 minutes, respectively. The trip attraction to zones 2, 3, 4 and 5 are 50, 200, 75, and 450, respectively. Assume that the number of trips produced from zone 1 to zones 2, 3, 4 and 5 is inversely proportional to the inter-zonal travel time. (a) Estimate the number of trips from zone 1 to zones 2, 3, 4 and 5 using the gravity model. (b) Assume that the future trip production from zone I will increase to 1,250 and the future trip attraction to zones 2, 3, 4 and 5 will increase to 100, 225, 100, and 600, respectively. Predict the number of trips from zone 1 to zones 2, 3, 4 and 5. The inter-zonal travel times remain the same. (c) Compare the number of trips from zone 1 to each destination zone between (a) and (b). Identify the…

A simple work-mode-choice model is estimated from data in a small urban area to determine the probabilities of individual travelers selecting various modes. The mode choices include automobile drive-alone (DL), automobile shared-ride (SR), and bus (B), and the utility functions are estimated as: UDL = 2.2-0.2(costp)-0.03(travel timepz) USR 0.8 – 0.2(costsR) – 0.03(travel timesR) Us = -0.2(costa)- 0.01(travel time,) where cost is in dollars and time is in minutes. Between a residential area and an industrial complex, 4000 workers (generating vehicle-based trips) depart for work during the peak hour. For all workers, the cost of driving an automobile is $6.00 with a travel time of 20 minutes, and the bus fare is $1.00 with a travel time of 25 minutes. If the shared-ride option always consists of two travelers sharing costs equally, how many workers will take each mode?