0 10 X₁. waiting time (min.) X₂, travel time (min.) X₁, parking time (min.) 20 35 5 0 225 100 X₁. out-of-pocket cost (cents) A. calibration constant -0.33 -0.27 B. After implementing service improvements to the mass transit, the mode split changed to 81.4% private automobile use and 18.6% mass transit use. Determine a value for the waiting this shift in

0 10 X₁. waiting time (min.) X₂, travel time (min.) X₁, parking time (min.) 20 35 5 0 225 100 X₁. out-of-pocket cost (cents) A. calibration constant -0.33 -0.27 B. After implementing service improvements to the mass transit, the mode split changed to 81.4% private automobile use and 18.6% mass transit use. Determine a value for the waiting this shift in

Traffic and Highway Engineering

5th Edition

ISBN:9781305156241

Author:Garber, Nicholas J.

Publisher:Garber, Nicholas J.

Chapter2: Transportation Systems And Organizations

Section: Chapter Questions

Problem 4P

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4. Given the utility expression UK = where Ta is the access time, Tw is the waiting time, Tr is the riding time, and C is the out-of-pocket cost. For the automobile mode (AK = -0.005) and a mass-transit mode (Ak = -0.05). Mode AK 0.05Ta 0.04T - 0.03T, -0.02C Auto Transit Ta 5 10 Tw 0 10 Answer the following questions: What is the utility of auto? What is the utility of transit? What is the share of the automobile mode using Logit model? What is the share of the transit mode using Logit model? Tr 30 40 с 100 50 What is the utility of transit if the bus out-of-pocket doubles? What is the patronage shift of transit resulted from doubling the bus out-of-pocket cost?
Commuters choose auto or bus for their trips. The utility function for each travel mode was calibrated as follows: where V=C-0.10* X₁ -0.13* X₂-0.12 X3-0.0045 X4 * V = observable utilities; C = constant; X₁ = waiting time (min); X₂ = travel time (min); X3 = parking time (min); X₁ = out-of-pocket cost (cents). The values of the parameters in the above utility function for each mode are shown below. C X₁ (min) X₂ (min) X3 (min) X4 (cents) 225 100 Mode Auto Bus Mode Light rail -0.33 -0.27 с 0 10 (a) Calculate the mode splits of auto and bus using the multinomial logit model. (b) In the part (a), the new light rail will be added as the third mode of travel. The utility function for light rail is the same as above and the values of the parameters for light rail are shown below. 0 20 35 5 0 X₁ (min) X₂ (min) 15 25 X3 (min) X4 (cents) 0 150 Predict the mode splits of auto, bus and light rail using the multinomial logit model. (c) Does the result in (b) make intuitive sense? Comment on the…
11. Given the utility expression: Uk= AK - 0.05 Ta - 0.04TW - 0.02 T† - 0.01 C Where:Ta is the access time Tw is the waiting time T, is the riding time C is the out of pocket cost (a) Apply the logit model to calculate the division of usage between the automobile mode (AK=-0.005) and a mass transit mode (AK= -0.05). Use the data given in the table below for your analysis. Mode Ta Tw Tr C Auto 30 100 Transit 10 10 45 50 (b) Estimate the patronage shift that would result from doubling the bus out-of-pocket cost
The total number of trips from ABC to XYC is 4500. All of the trips are made using car. The government proposed two alternatives, a train and a bus. The utility is given by the equation: U = -0.05(TT)-0.04(WT) - 0.07(W) - 0.2(F) - 0.2(P) TT in-vehicle travel time WT- walking time to terminal W-waiting time F-fare P-parking cost The travel time for private car is 20 minutes, 12 for bus and 10 for train. Walking time for different terminals for bus and train is 10 and 15 minutes respectively. The waiting time is 8 and 6 minutes for bus and train respectively, and the fare for car, bus and train is at $20, $8.5 and $7 dollars respectively. Parking cost for car is $3. What is the total number of trips by train?
Given the utility function: U = AA- 0.35(TT) – 0.08(WT) – 0.005(C) Question 2 where AA is the mode specific variable; TT is the travel time in minutes; WT is the waiting time in minutes; and Cis the travel cost in cents. The attributes of trips between two traffic analysis zones are shown in the table below. Calculate the probability of car and bus. Variable Car Bus AA -0.46 -0.07 TT 20 30 WT 8 320 100
1. A total of 5,000 person-trips are made between a commercial district and a residential area during the PM peak hour. Commuters have two modes available, including private automobile and a light- rail transit system. The following utility function was calibrated using data from the study area from users of these two modes: U 3D -0. 50T1 — 0. 50T, — 2. 00С Data summarizing the operational characteristics and costs associated with each mode are provided in the following table. Private Light-Rail Parameter Automobile Transit = in-vehicle travel time (min.) 10 T1 T2 = excess time (min.) C = out-of-pocket cost (dollars) 15 5 10 5.00 2.00 Determine how many trips will be made by each travel mode based on these characteristics.
A 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
Two routes are available to carry 1200 vehicles in peak-hour traffic. Route 1 has a posted speed limit of 45 mph and is 5 miles long. The travel time increases by 2x2, where x is vehicles in thousands. Route 2 has a limit of 55 mph and is 6.7 miles long, and the travel time increases by 1.5x. Find the user-equilibrium travel flow and travel time.
Design Hourly Volume (DHV) is the projected hourly volume that is used for design. This volume is taken as a percentage of choose one of the following the average annual traffic the average weekley traffic the average daily traffic none of the given choices
Problem. At the train station. The operations manager have scheduled an outbound trips required to go to its place of destination. The vehicle can accommodate 90 passengers per vehicle. And there are three vehicles per train. Fifteen train sets its trip per hour. (Analyze the problem using a Block Diagram to solve the problem. This will serve as your visual aide in analyzing the train problem.) Required: 1. Determine the number of passengers who boarded the train in an hour. (How many commuters boarded the train in an hour?) 2. How many trips were made within an Hour? 3. Determine the train interval. This will serve as its scheduled trips in an Hour. 4. If the scheduled trips / operational hour will start from 6 am, and the last scheduled trip is 10 pm. How many commuters were transported presuming the train is 100 percent fully occupied.
The 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.)
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.