Mode and Destination Choice

1. It is known that 4000 automobile trips are generated in a large residential area from noon to 1:00 P.M. on Saturdays for shopping purposes. Four major shopping centers have the following characteristics:

Shopping center

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Distance from residential area (mi)

Commercial floor space (thousands of ft2)

1 2.4 200 2 4.6 150 3 5.0 300 4 8.7 600

If a logit model is estimated with coefficients of −0.543 for distance and 0.0165 for commercial space (in thousands of ft2), how many shopping trips will be made to each of the four shopping centers?

2. Consider the shopping trip situation described in Problem 8.6. Suppose that shopping center 3 goes out of business and shopping center 2 is expanded to 450,000 ft2 of commercial space. What would be the new distribution of the 4000 Saturday afternoon shopping trips?

3. If shopping center 3 is closed, how much commercial floor space is needed in shopping centers 1 and 2 to ensure that each of them has the same probability of being selected as shopping center 4?

4. Consider the situation described above. If the construction of a new freeway lowers auto and transit travel times to shopping center 2 by 20%, determine the new distribution of shopping trips by destination and mode.

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