a. 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 information: Utility function: Uk = Ak - 0.05 Ta - 0.04 Tw - 0.03 Tr - 0.014 C Parameter Private Auto Bus Ta = access time (min.) 5 10 Tw = waiting time (min.) 0 15 Tr = riding time (min.) 25 40 C = out-of-pocket cost (cents) 150 100 Calibration constant, Ak 0.01 0.07 b. After implementing service improvements to the buses, the mode split changed to 60.6% private auto use and 39.4% bus use. Determine a value for the calibration constant for the bus mode that reflects this shift in mode split.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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a. 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 information:
Utility function: Uk = Ak - 0.05 Ta - 0.04 Tw - 0.03 Tr - 0.014 C
Parameter Private Auto Bus
Ta = access time (min.) 5 10
Tw = waiting time (min.) 0 15
Tr = riding time (min.) 25 40
C = out-of-pocket cost (cents) 150 100
Calibration constant, Ak 0.01 0.07

b. After implementing service improvements to the buses, the mode split
changed to 60.6% private auto use and 39.4% bus use. Determine a
value for the calibration constant for the bus mode that reflects this shift
in mode split.

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