Traffic and Highway Engineering
5th Edition
ISBN: 9781305156241
Author: Garber, Nicholas J.
Publisher: Cengage Learning
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Chapter 12, Problem 20P
To determine
The share of person-trips by each of two modes by the use of multinomial logit model.
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Determine 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 C
Three routes connect an origin and destination with performance function tj = aj + bjxj/cj (with t's in minutes and x's in thousands of vehicles
per hour). If the total origin-to-destination hourly demand is 10,000 vehicles, what is a travel time in minutes (input answer in a form 00,00
minutes).
Route 1
Route 2
Route 3
a
13
8
9
b
1.9
2.5
2.1
6.
8
7
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
Chapter 12 Solutions
Traffic and Highway Engineering
Ch. 12 - Prob. 1PCh. 12 - Prob. 2PCh. 12 - Prob. 3PCh. 12 - Prob. 4PCh. 12 - Prob. 5PCh. 12 - Prob. 6PCh. 12 - Prob. 7PCh. 12 - Prob. 8PCh. 12 - Prob. 9PCh. 12 - Given a table with production and attraction data,...
Ch. 12 - Given a table with production and attraction data,...Ch. 12 - Prob. 12PCh. 12 - Prob. 13PCh. 12 - Prob. 14PCh. 12 - Prob. 15PCh. 12 - Prob. 16PCh. 12 - Prob. 17PCh. 12 - Prob. 18PCh. 12 - Prob. 19PCh. 12 - Prob. 20PCh. 12 - Prob. 21PCh. 12 - Prob. 22PCh. 12 - Prob. 23PCh. 12 - Prob. 24PCh. 12 - Prob. 25PCh. 12 - Prob. 26PCh. 12 - Prob. 27PCh. 12 - Prob. 28P
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- The 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 $90,000 and survey data shows that it generates a total of 11,550 trips in the peak-hour. Which of the above models is the most accurate? A. T1 B. T2 C. T3 D. Can't say as 2 or more models are equally accurate.arrow_forward4. The number of trips generated by each household h (Yh) in Zone A is given by the following household-level regression model: Yh=2.5+1.5 X₁ + 1.2 X2+ 1.0 X3....where, X₁ =Number of Adults (per household). X2 =Number of Cars in the household. X3 =Income in Thousands ($). a. What is the minimum number of trips made by a household based on the equation? b. For a zone labeled “A”, Table 1 provides total number of households classified by household size and number of cars. It is given that the average household income in this Zone is $55K. Compute the number of trips produced from this zone. Table 1: Household Composition for Zone A Number of cars Person per household per household 1 2 3 0 100 200 150 1 300 500 210 2 150 100 60arrow_forwardCommuters 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…arrow_forward
- Suppose that the projected road vehicle traffic flow in a corridor is 5000 vehicle-trips per hour in one direction. The average perceived user cost functions of the two major highways (Route 1 and Route 2 in the corridor are as follows (in dollars): Route 1: Ci =1 +8(qı/5000) Route 2: C2 = 1+10(q2/2500) Where: qi and q2 are the traffic flows on Route 1 and Route 2 respectively. Calculate the volume of traffic during the peak hour on each route, if users were free to choose their own routes.arrow_forwardVehicles arrive at the parking booth of SM City Tarlac at a rate of 250 vehicles per hour. If the attendant can process a vehicle in 12 seconds, determine the average length of the queue if both the arrivals and departures are exponentially distributed. Note: Answer must be whole number. No need to include the unit. (i.e. 2)arrow_forwardA 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?arrow_forward
- Example: A busy travel corridor connecting a suburb with the city center is served by two routes having a typical travel time function, t =a + b(q/c), where t is the time in minutes, q is the vehicular flow in veh/hr, and c is the capacity of the route in veh/hr. The existing characteristics of the two routes is as follows: Route a b c 1 34 3000 2 4 2 4000 (a) If the existing peak-hour demand is 5000 veh/hr, what is the traffic distribution on the two routes? (b) If repair work on Route 1 reduces its capacity to 2000 veh/hr, what is likely to be the traffic distribution on the two routes for the duration of the repairs? (c) It is anticipated that after the repairs are completed on Route 1, its capacity will be 4200 veh/hr. How will this affect the distribution.arrow_forwardQUESTION 5 Consider the network shown below, where the travel time on the top link is constant (at 50 unitly, while the travel tim the bottom route is a function of number of vehicles using that route (45+x). Travel time = 50 0 2 Travel time = 45 + x It is given that 23 vehicles desire to go from node 1 to 2. What is the total system travel time at equilibrium? Hint First, find what will the equilibrium traffic flow (how many vehicles will use the top route and bottom route at equilibrium?), and then calculate the total system travel time at equilibrium.arrow_forwardVehicles arrive at a toll system at random at an average rate of 12 vehicles per minute. If there are 2 toll booths each at random at an average of 6 seconds after services are done for every vehicle at the toll system. Calculate the following: 1 Average length of queue of vehicles 2. Average waiting time in a queue 3. Average time spent in a queue 4. If one toll ticket booth is closed and service time is reduced by 3 seconds, what are the Q, W and T of the system? And plot the arrival distribution curve for this traffic conditionarrow_forward
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