Principles Of Highway Engineering And Traffic Analysis
7th Edition
ISBN: 9781119493969
Author: Mannering, Fred L., WASHBURN, Scott S.
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 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?
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
Principles Of Highway Engineering And Traffic Analysis
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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