Problem 2 - Use of multi-nomial logit model for estimation of modal splitUse a logit model to determine the probabilities of a group of 5000 workcommuters choosing between three modes of travel during the morning peakhour, including Privite car, Bus and Light railIf 1450 commuters travel by bus, 950 commuters taking light rail, determine thetravel time of driving private cars (T).The utility functions for the three modes are estimated using the followingequations:Uc = 2.4 – 0.4C – 0.05 TUg = 1.4 – 0.4C – 0.05TULR= 0.4 – 0.4C– 0.05TwhereC = cost (£)T= travel time (minutes)For all workers:• The cost of driving is £6.00 with a travel time of T minutes• The bus fare is £2.50 with a travel time of 50 minutesThe rail fare is £2.80 with a travel time of 35 minutes.whereP = probability that mode m is chosenm' = index over all modes included in chosen set

Given, UC=2.4-0.4(6)-0.05T=-0.05T UB=1.4-0.4(2.5)-0.05(50)= -2.1 ULR=0.4-0.4(2.8)-0.05(35)= -3.47…

Answered: Use a logit model to determine the…

Use a logit model to determine the probabilities of a group of 5000 work commuters choosing between three modes of travel during the morning peak hour, including Privite car, Bus and Light rail

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

Problem 2 - Use of multi-nomial logit model for estimation of modal split
Use a logit model to determine the probabilities of a group of 5000 work
commuters choosing between three modes of travel during the morning peak
hour, including Privite car, Bus and Light rail
If 1450 commuters travel by bus, 950 commuters taking light rail, determine the
travel time of driving private cars (T).
The utility functions for the three modes are estimated using the following
equations:
Uc = 2.4 – 0.4C – 0.05 T
Ug = 1.4 – 0.4C – 0.05T
ULR= 0.4 – 0.4C– 0.05T
where
C = cost (£)
T= travel time (minutes)
For all workers:
• The cost of driving is £6.00 with a travel time of T minutes
• The bus fare is £2.50 with a travel time of 50 minutes
The rail fare is £2.80 with a travel time of 35 minutes.
where
P = probability that mode m is chosen
m' = index over all modes included in chosen set

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