# Logit Model Applications

Logit Model Applications With the total number of vehicle-based trips made in specific time periods known (from trip generation models), the allocation of trips to vehicle-based modes and likely destinations can be undertaken by applying appropriate logit models. This process is best demonstrated by example.

EXAMPLE LOGIT MODEL OF WORK-MODE−CHOICE

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(costDL) − 0.03(travel timeDL) USR = 0.8 − 0.2(costSR) − 0.03(travel timeSR) UB = −0.2(costB) − 0.01(travel timeB)

where cost is in dollars and travel 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?

SOLUTION

Note that the utility function coefficients logically indicate that as modal costs and travel times increase, modal utilities decline and, consequently, so do modal selection probabilities.

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