Answer Happy

Assume you are conducting a demand modeling study for the morning commuting trips during the peak hour of a typical work day between the City of Bellevue and the City of Seattle. Below is some basic demographics information of the two cities (these are factious numbers): City of Bellevue City of Seattle 19,963 # of households 7,397 Total # of workers 10,637 20,304 mean household income ($) 111,728 49,110 # of establishments 136 128 The distance between the two cities is about 13.4 miles.

(4) Available transportation modes between the two cities include: driving, transit, or bicycling. The average driving time between the two cities is 25 minutes, with cost (gasoline prices) $4.00. Average transit time is 50 minutes with a fare of $0.75. The distance of bicycling is: 15 miles. The following utilities functions are found to be appropriate to capture the choice behavior of travelers when determining which mode to choose. Utility of driving: Ua-2.1 -0.25(costa)-0.03(TT) Utility of transit: Ut=1.5-0.25(cost)-0.03(TT.) Utility of bicycling: Ub-1.0 -0.1(D) Here costs in the above formula are in dollars, and travel times (TT) are in minutes. Do denotes the distance of bicycling, in miles. Estimate the number of travelers using each travel mode by assuming travelers follow the discrete-choice principle. (5) There are two major driving routes from Bellevue to Seattle: 1-90 (route 1) and SR-520 (route 2). Assume the travel times and flows of the two routes follow the linear and quadratic relationships respectively (flow is in thousands of vehicles): t₁ = 15+2x1 t₂ = 11+x₂² What is the user equilibrium flow distribution between these two routes? How about equilibrium travel times? How about if the total demand increases to 2500? Calculate the system optimal flow distribution and route travel times under the system optimal state. Assume the total demand is 2500.