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home / study / engineering / civil engineering / building materials and theory of constructions / building materials and theory of constructions solutions manuals / traffic and highway engineering, enh
si edition / 5th edition / chapter 12 / problem 22p
Traffic and Highway Engineering, Enhanced SI
Edition (5th Edition)
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e choice logit model is to be developed based on the following information. A survey of
rs in an area with bus service found the following data:
My Textbook Solutions
lowing utility function was calibrated based on an observed mode split of 84.9% private
e and 15.1% bus use.
Traffic and
Highway...
Traffic &
Highway...
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mplementing service improvements to the buses, the mode split changed to 81.6% private
e and 18.4 percent bus use. Determine a value for the calibration constant for the bus
hat reflects this shift in mode split.
Step-by-step solution
Step 1 of 5
Calculate the measurable utility using the utility function:
…… (1)
Here,
is the measurable utility,
minutes,
is the calibration constant,
is the travel time in minutes,
is the waiting time in
is the parking time in minutes, and
is an out-
of-pocket cost in cents.
Find the measurable utility for private auto using Equation (1).
Substitute the values of -0.33 for
, 0 for
, 20 for
, 5 for
, and 225 for
:
Comment
Step 2 of 5
Using the new mode split data, the calibration constant for the bus utility function will need to be
recalculated. The logit function for bus service reflects this shift. so, calculate the measurable
utility for bus.
Comment
Step 3 of 5
Find the measurable utility for bus mode using the formula.
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Chapter 12, Problem 22P
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Comment
Step 4 of 5
…… (2)
Here,
is the probability that an individual will choose mode m from a specified set of
alternatives.
Calculate the measurable utility for bus mode using Equation (2).
Substitute -4.54 for
and 0.184 for
:
Comment
Step 5 of 5
Calculate the calibration constant for the bus mode using Equation (1).
Substitute the values of -6.03 for
, 10 for
, 35 for
, 0 for
Therefore, the calibration constant for the bus mode is
, and 100 for
:
.
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