PRIN.OF HIGHWAY ENGINEERING&TRAFFIC ANA.
7th Edition
ISBN: 9781119610526
Author: Mannering
Publisher: WILEY
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Chapter 5, Problem 47P
To determine
Thetotal student delay in handing the exams and the longest student queue.
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Students have asked these similar questions
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…
Question 2
Trucks begin to arrive at a truck weighing station (with a single scale) at 8:00
A.M. at a deterministic time-varying rate of λ (t) = 5.2 - 0.24t [X(t) is in veh/min
and t in minutes]. The departure rate is a constant 2.2 veh/min (time to weigh
a truck is 27.27 seconds).
(i) When will the queue that forms be cleared?
(ii) What will be the maximum queue length?
(iii) Determine the total delay
(iv) Estimate the average time delay per vehicle
Quèstion 14
The following data were taken on five cars traversing a 2-km highway.
Car
Time (minutes)
A
1.9
1.5
1.7
1.6
1.9
Determine the space mean speed, in kph. Express your answer in 2 decimal places.
A Moving to another question will save this response.
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Chapter 5 Solutions
PRIN.OF HIGHWAY ENGINEERING&TRAFFIC ANA.
Ch. 5 - Prob. 1PCh. 5 - Prob. 2PCh. 5 - Prob. 3PCh. 5 - Prob. 4PCh. 5 - Prob. 5PCh. 5 - Prob. 6PCh. 5 - Prob. 7PCh. 5 - Prob. 8PCh. 5 - Prob. 9PCh. 5 - Prob. 10P
Ch. 5 - Prob. 11PCh. 5 - Prob. 12PCh. 5 - Prob. 13PCh. 5 - Prob. 14PCh. 5 - The arrival rate at a parking lot is 6 veh/min....Ch. 5 - Prob. 16PCh. 5 - At the end of a sporting event, vehicles begin...Ch. 5 - Prob. 18PCh. 5 - Prob. 19PCh. 5 - Vehicles begin arriving at a single toll-road...Ch. 5 - Vehicles begin to arrive at a toll booth at 8:50...Ch. 5 - Prob. 22PCh. 5 - Prob. 23PCh. 5 - Prob. 24PCh. 5 - Prob. 25PCh. 5 - Vehicles begin to arrive at a parking lot at 6:00...Ch. 5 - At a parking lot, vehicles arrive according to a...Ch. 5 - Prob. 28PCh. 5 - Prob. 29PCh. 5 - Prob. 30PCh. 5 - Prob. 31PCh. 5 - Prob. 32PCh. 5 - Prob. 33PCh. 5 - Vehicles arrive at a recreational park booth at a...Ch. 5 - Prob. 35PCh. 5 - Prob. 36PCh. 5 - Prob. 37PCh. 5 - A truck weighing station has a single scale. The...Ch. 5 - Prob. 39PCh. 5 - Prob. 40PCh. 5 - Vehicles leave an airport parking facility (arrive...Ch. 5 - Vehicles begin to arrive at a parking lot at 7:45...Ch. 5 - Prob. 43PCh. 5 - Prob. 44PCh. 5 - Prob. 45PCh. 5 - Prob. 46PCh. 5 - Prob. 47PCh. 5 - Prob. 48PCh. 5 - Prob. 49PCh. 5 - Prob. 50PCh. 5 - Prob. 51PCh. 5 - Prob. 52PCh. 5 - A theme park has a single entrance gate where...Ch. 5 - Prob. 54PCh. 5 - Prob. 55P
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- Question 1 In studying traffic flow at a highway toll booth over a course of 60 minutes, it is determined that the arrival and departure rates are deterministic, but not uniform. The arrival rate is found to vary according to the function of A (t) = 1.8 2 +0.25t -0.0030t. The departure rate function is u(t) =1.4 + 0.11 t. In both of these functions, t is in minutes after the beginning of the observation and X(t) and u(t) are in vehicles per minutes. (i) When will the queue that forms be cleared? (ii) What time does the maximum queue length occur and what will be the corresponding queue length? (iii) Determine the total delay (iv) Estimate the average time delay per vehiclearrow_forwardthe following data were taken on five cars traversing a 1.3 km highway. car time (mins.) a 1.7 b 1.4 c 1.6 d 1.2 e 1.7 determine the space mean spead, in kph. express your answer in 2 decimal places.arrow_forwardAnswer questions 13, 14, 15 and 16 using the following paragraph: Vehicles arrive at the carpark of an airport. Vehicles have to queue at the single entrance gate of the carpark at 9:00 AM. The arrival rate is constant at 240 veh/hr. However, between 9:00 and 9:40 AM, the parking ticket machine at the entrance works slowly due to a malfunction, and consequently, each vehicle spends 30 seconds to take the parking ticket. After 9:40 AM, the problem is solved and vehicles spend only 10 seconds at the gate to take the ticket. What is the longest vehicle queue? Select one: a.70 b.64 c.80 d.20 OOarrow_forward
- 1. Estimate the queue dissipation time, maximum queue length, and total delay, given: Time Arrival Rate (veh/hour/lane) Departure Rate (veh/hour/lane) 3:30 4:00 PM 4:00 8:00 PM 3:00 - 3:30 PM 1200 1800 1200 1200 900 1800arrow_forwardThree cars travel over a 60 m. section of highway at constant speeds of 19, 20 and 25 m/s. Compute the time mean speed for this condition in m/s (two decimal places). Blank 1 Blank 1 Add your answerarrow_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_forward
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