PRIN.OF HIGHWAY ENGINEERING&TRAFFIC ANA.
7th Edition
ISBN: 9781119610526
Author: Mannering
Publisher: WILEY
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Chapter 8, Problem 35P
To determine
The number of people use ride shared mode,
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A work-mode-choice model is developed from data acquired in the field in order 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). The utility functions are estimated as: UDL = 2.6 – 0.3(costDL) – 0.02(travel time DL) USR = 0.7 – 0.3(costSR) – 0.04(travel time SR) UB = –0.3(costB) – 0.01(travel time B) where cost is in dollars and time is in minutes. The cost of driving an automobile is $5.50 with a travel time of 21 minutes, while the bus fare is $1.25 with a travel time of 27 minutes. How many people will use the shared-ride mode from a community of 4500 workers, assuming the shared-ride option always consists of three individuals sharing costs equally?
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…
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 informa-
tion:
Utility function: U = A - 0.05 T – 0.04 T, – 0.03 T, –0.014 C
Parameter
Private Auto
Mass Transit
= access time (min.)
T.
T = waiting time (min.)
T, = riding time (min.)
C = out-of-pocket cost (cents)
Calibration constant, A
14
20
25
%3D
50
70
250
100
-0.012
-0.068
Chapter 8 Solutions
PRIN.OF HIGHWAY ENGINEERING&TRAFFIC ANA.
Ch. 8 - Prob. 1PCh. 8 - Prob. 2PCh. 8 - Prob. 3PCh. 8 - Prob. 4PCh. 8 - Prob. 5PCh. 8 - Prob. 6PCh. 8 - Prob. 7PCh. 8 - Prob. 8PCh. 8 - Prob. 9PCh. 8 - Prob. 10P
Ch. 8 - Prob. 11PCh. 8 - Prob. 12PCh. 8 - Prob. 13PCh. 8 - Prob. 14PCh. 8 - Prob. 15PCh. 8 - Prob. 16PCh. 8 - Prob. 17PCh. 8 - Prob. 18PCh. 8 - Prob. 19PCh. 8 - Prob. 20PCh. 8 - Prob. 21PCh. 8 - Prob. 22PCh. 8 - Prob. 23PCh. 8 - Prob. 24PCh. 8 - Prob. 25PCh. 8 - Prob. 26PCh. 8 - Prob. 27PCh. 8 - Prob. 28PCh. 8 - Prob. 29PCh. 8 - Prob. 30PCh. 8 - Prob. 31PCh. 8 - Prob. 32PCh. 8 - Prob. 33PCh. 8 - Prob. 34PCh. 8 - Prob. 35PCh. 8 - Prob. 36PCh. 8 - Prob. 37PCh. 8 - Prob. 38PCh. 8 - Prob. 39P
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