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Bus Trips

1. In a 1-hour period, 1100 vehicle-based shopping trips leave a large residential area for two shopping plazas. A joint shopping-trip mode-destination choice logit model is estimated, providing the following coefficients:

Variable Auto

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coefficient Bus

coefficient

Constant 0.25 0.0 Travel time in minutes −0.4 −0.5 Commercial floor space (in thousands of ft2)

0.013 0.013

Initial travel times to shopping plazas 1 and 2 are as follows:

By auto By bus

Travel time to shopping plaza 1 (in minutes)

15 18

Travel time to shopping plaza 2 (in minutes)

16 19

If shopping plaza 2 has 325,000 ft2 of commercial floor space and shopping plaza 1 has 275,000 ft2, determine the number of bus trips to shopping plaza 2.

a) 10 b) 18 c) 597 d) 21

2. Two highways connect an origin–destination pair, having performance functions t1 = 5 + 4(x1/c1) and t2 = 4 + 5(x2/c2), for routes 1 and 2, respectively. For the performance functions, the t’s are in minutes, and the flows (x’s) and capacities (c’s) are in thousands of vehicles per hour. The total traffic demand for the two highways is 4000 vehicles during the peak hour. Initially, the capacities of routes 1 and 2 are 3500 veh/h and 4600 veh/h, respectively. A construction project is planned that will cut the capacity of route 2 by 2100 veh/h. How many additional vehicle-hours of travel time will be added to the system assuming user- equilibrium conditions hold?

a) 55.3 b) 503.0 c) 77.6 d) 525.3

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