A simple work mode choice is estimated from data in a small urban area to determine the probabilities of individual travelers selecting various modes. The mode choice includes auto-drive alone (DL), auto-shared ride (SR) and Bus (B), and the utility functions are estimated asUDL = 2.2 - 0.2(Cost DL) - 0.03(travel time DL)USR = 0.8 - 0.2(cost SR) - 0.03(travel time SR)UB = - 0.2(cost B) - 0.01(travel time BWhere cost is in Rand and time 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 R 4.00 with travel time of 20 minutes and the bus fare is 50 cents 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.

Traffic and Highway Engineering
5th Edition
ISBN:9781305156241
Author:Garber, Nicholas J.
Publisher:Garber, Nicholas J.
Chapter2: Transportation Systems And Organizations
Section: Chapter Questions
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A simple work mode choice is estimated from data in a small urban area to determine the probabilities of individual travelers selecting various modes. The mode choice includes auto-drive alone (DL), auto-shared ride (SR) and Bus (B), and the utility functions are estimated as
UDL = 2.2 - 0.2(Cost DL) - 0.03(travel time DL)
USR = 0.8 - 0.2(cost SR) - 0.03(travel time SR)
UB = - 0.2(cost B) - 0.01(travel time B
Where cost is in Rand and time 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 R 4.00 with travel time of 20 minutes and the bus fare is 50 cents 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.

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