It is known that 5000 automobile trips are generated in a large residential area from 12:00 PM to 1:00 PM on Saturdays for shopping purposes. Four major shopping centres have the following characteristics: Shopping Centre 1 2 3 4 Distance from residential area (km) 4 9 8 14 Commercial floor space (thousands of m²) 20 15 30 60 Using a Logit model (with logit parameter equal to 1), the following utility function is estimated for the residents' choice of shopping destination: U = -0.283 X1 + 0.172 X2 where X1 is distance from residential area (km) X2 is commercial floor space (thousands of m²) Determine the number of shopping trips to each of the four shopping centres. Are the signs of the parameter coefficients reasonable? Discuss.
It is known that 5000 automobile trips are generated in a large residential area from 12:00 PM to 1:00 PM on Saturdays for shopping purposes. Four major shopping centres have the following characteristics: Shopping Centre 1 2 3 4 Distance from residential area (km) 4 9 8 14 Commercial floor space (thousands of m²) 20 15 30 60 Using a Logit model (with logit parameter equal to 1), the following utility function is estimated for the residents' choice of shopping destination: U = -0.283 X1 + 0.172 X2 where X1 is distance from residential area (km) X2 is commercial floor space (thousands of m²) Determine the number of shopping trips to each of the four shopping centres. Are the signs of the parameter coefficients reasonable? Discuss.
Traffic and Highway Engineering
5th Edition
ISBN:9781305156241
Author:Garber, Nicholas J.
Publisher:Garber, Nicholas J.
Chapter12: Forecasting Travel Demand
Section: Chapter Questions
Problem 20P
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Transcribed Image Text:It is known that 5000 automobile trips are generated in a large residential area from 12:00 PM
to 1:00 PM on Saturdays for shopping purposes. Four major shopping centres have the
following characteristics:
Shopping Centre
1
2
3
4
Distance from residential area (km)
4
9
8
14
Commercial floor space (thousands of m²)
20
15
30
60
Using a Logit model (with logit parameter equal to 1), the following utility function is estimated
for the residents' choice of shopping destination:
U = -0.283 X1 + 0.172 X2
where
X1 is distance from residential area (km)
X2 is commercial floor space (thousands of m²)
Determine the number of shopping trips to each of the four shopping centres. Are the signs of
the parameter coefficients reasonable? Discuss.
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