3. A calibration study resulted in the following utility equation for different modes in a particular city; Ug = ax – (0.25)(X1) – (0.032)(X2) – (0.015)(X3)– (0.002)(X4) where ag = mode specific constant X1 = access plus egrees time in minutes X2 = waiting time in minutes X3 = line-haul time in minutes X4 = out-of-pocket cost in cents For a particular origin-destination pair, the forecasted number of trips is 5,000. For this particular trip, there are two modes available, bus and auto. a) If the characteristics of these two modes are as follows, how many trips will be taken by bus? And by car? X, X2 X3 Automobile Bus X4 100 50 20 10 15 40 Assume that the mode specific constant is equal to -0.12 for the automobile and -0.22 for bus. b) Assume that a new mode, rapid transit, is to be introduced into the market between these two zones. The characteristics of this new service are as follows: X1 = 10 X2 = 5 X3 = 30 X4 = 75 Assume from experience in other cities that the mode specific constant for rapid transit is -0.41. What will be the modal shares of the 5,000 trips between these two zones for all three modes? c) Assume that the city council wants to increase ridership on transit in this new three-mode system. They are considering one of two actions: lower the fare in bus and rapid transit to a flat Php 12.50 for all trips, or place a surcharge of Php 100.00 on all cars parking in these zones. Which policy would you recommend to a achieve the council's objective? Why?

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN:9781305084766
Author:Saeed Moaveni
Publisher:Saeed Moaveni
Chapter8: Time And Time-related Variables In Engineering
Section8.5: Engineering Variables Involving Length And Time
Problem 2BYG
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A calibration study resulted in the following utility equation for different modes in a particular city;
??=??−(0.25)(?1)−(0.032)(?2)−(0.015)(?3)−(0.002)(?4)
where ??= mode specific constant
?1= access plus egrees time in minutes
?2= waiting time in minutes
?3= line-haul time in minutes
?4= out-of-pocket cost in cents
For a particular origin-destination pair, the forecasted number of trips is 5,000. For this particular trip, there are two modes available, bus and auto.
a) If the characteristics of these two modes are as follows, how many trips will be taken by bus? And by car?

Assume that the mode specific constant is equal to -0.12 for the automobile and -0.22 for bus.
b) Assume that a new mode, rapid transit, is to be introduced into the market between these two zones. The characteristics of this new service are as follows:
?1=10 ?2=5 ?3=30 ?4=75

Assume from experience in other cities that the mode specific constant for rapid transit is -0.41. What will
be the modal shares of the 5,000 trips between these two zones for all three modes?
c) Assume that the city council wants to increase ridership on transit in this new three-mode system. They
are considering one of two actions: lower the fare in bus and rapid transit to a flat Php 12.50 for all trips, or place
a surcharge of Php 100.00 on all cars parking in these zones. Which policy would you recommend to a achieve
the council’s objective? Why?

3. A calibration study resulted in the following utility equation for different modes in a particular city;
Ug = az – (0.25)(X1) – (0.032)(X2)- (0.015)(X3) – (0.002)(X4)
where az = mode specific constant
X1 = access plus egrees time in minutes
X2 = waiting time in minutes
X2 = line-haul time in minutes
X4 = out-of-pocket cost in cents
For a particular origin-destination pair, the forecasted number of trips is 5,000. For this particular trip,
there are two modes available, bus and auto.
a) If the characteristics of these two modes are as follows, how many trips will be taken by bus? And by
car?
X4
100
X1
X2
X3
Automobile
5
20
Bus
10
15
40
50
Assume that the mode specific constant is equal to -0.12 for the automobile and -0.22 for bus.
b) Assume that a new mode, rapid transit, is to be introduced into the market between these two zones.
The characteristics of this new service are as follows:
X1 = 10
X2 = 5
X3 = 30
X4 = 75
Assume from experience in other cities that the model specific constant for rapid transit is -0.41. What will
be the modal shares of the 5,000 trips between these two zones for all three modes?
c) Assume that the city council wants to increase ridership on transit in this new three-mode system. They
are considering one of two actions: lower the fare in bus and rapid transit to a flat Php 12.50 for all trips, or place
a surcharge of Php 100.00 on all cars parking in these zones. Which policy would you recommend to a achieve
the council's objective? Why?
Transcribed Image Text:3. A calibration study resulted in the following utility equation for different modes in a particular city; Ug = az – (0.25)(X1) – (0.032)(X2)- (0.015)(X3) – (0.002)(X4) where az = mode specific constant X1 = access plus egrees time in minutes X2 = waiting time in minutes X2 = line-haul time in minutes X4 = out-of-pocket cost in cents For a particular origin-destination pair, the forecasted number of trips is 5,000. For this particular trip, there are two modes available, bus and auto. a) If the characteristics of these two modes are as follows, how many trips will be taken by bus? And by car? X4 100 X1 X2 X3 Automobile 5 20 Bus 10 15 40 50 Assume that the mode specific constant is equal to -0.12 for the automobile and -0.22 for bus. b) Assume that a new mode, rapid transit, is to be introduced into the market between these two zones. The characteristics of this new service are as follows: X1 = 10 X2 = 5 X3 = 30 X4 = 75 Assume from experience in other cities that the model specific constant for rapid transit is -0.41. What will be the modal shares of the 5,000 trips between these two zones for all three modes? c) Assume that the city council wants to increase ridership on transit in this new three-mode system. They are considering one of two actions: lower the fare in bus and rapid transit to a flat Php 12.50 for all trips, or place a surcharge of Php 100.00 on all cars parking in these zones. Which policy would you recommend to a achieve the council's objective? Why?
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