2. It is known that 4000 car trips are generated in a large residential area from noon to 1:00 pm on Saturdays for shopping purposes. Four major shopping centers have the following characteristics. Shopping Center Distance from residential area Commercial floor space (thousands of ft) 200 1 234 3 4 (mi) 2.4 4.6 5.0 8.7 150 300 600
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- Three routes connect an origin to a destination with the following link performance functions: t_1 = 8 + 0.5 x_2 t_2 = 1 + 2x_2 t_3 = 3 + 0.75x_3 where t's in minutes and x's in thousands of vehicle per hour. If the peak-hour traffic demand is 4000 vehicles, determine the user equilibrium (UE) flows.land-use zone consists of 2000 single-family homes, 520 apartment units, and 3 hotels with 600 rooms each. Calculate the daily vehicular traffic generated by this zone, using the following equations: ts = 5+ 7.35US, ta = 7+ 6.25Ua = 2 + 12.00n t₁ = where the subscripts s, a, and h refer to homes, apartments, and hotels, respectively, and t and U refer to trips and housing units, respectively. Why is there a significant difference in trip production among the units?b. A land in the CBD area is offered for investment as a parking lot, if the working hours of the park are (8 hours), parking volume = 500 vehicle, and the parking tumover is 2.5 vehicle/hr/bay. Determine the parking supply if f=0.9.
- It is known that 10,000 automobile trips are generated in a large residential area from noon to 1:00 pm on Saturdays for shopping purposes. Four major shopping centers have the following characteristics: Commercial floor Distance from the residential area (mi) space (thousands of ft2) Shopping center 1 3.4 340 8.3 650 3 6 640 4 6.1 480 If a logit model is estimated with coefficients of -0.792 for distance and 0.0065 for commercial space (in thousands of ft2), how many shopping trips will the most popular shopping center have (in automobile trips)?Problems 2. Solve for the best choice in terms of utility U=A-0.05X1 -0.02X2 3. For 300 trips, assign them using constant assignment ratio. Route 1 2 3 4 5 M Mode A Car -0.6 Jeep -0.3 Grab -0.4 Bus -0.5 Hours 1.1 1.2 1.3 1.4 1.5 X1 50 10 70 30 X2 30 45 20 35Consider the network shown in Figure 1. The demand between nodes A and B is 160 vph whereas the demand between A and C is 80 vph. The link travel time functions are: Link 1: T, = 10+5v, Link 2: T, = 30+2v, %3D Link 3: T, = 30+2v3 Link 4: T, = 5+ 2v, %3D Determine the UE solution by equating path travel times.
- Q2. 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: 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? Shopping Distance from Commercial residential area floor space (mi) center (thousands of ft2) 1 2.4 200 2 4.6 150 3 5.0 300 4 8.7 6008.18 Two routes connect an origin and a destination. Routes 1 and 2 have performance functions t₁ = 2 + x₁ and t₂ = 1 + x2, where the 's are in minutes and the x's are in thousands of vehicles per hour. The travel times on the routes are known to be in user equilibrium. If an observation for route 1 finds that the gaps between 30% of the vehicles are less than 6 seconds, estimate the volume and average travel times for the two routes. (Hint: Assume a Poisson distribution of vehicle arrivals, as discussed in Chapter 5.)The performance function for a highway connecting a suburb with the business district can be represented by a straight line of the form t = a + bp, where t is the travel time in minutes, q is the traffic flow in vehicles per hour, and a and b are constants equal to 15 minutes and 0.01 minute/vehicle-hour, respectively. The demand function, also represented by a straight line, is q = c - dt, where cand d are constants equal to 6000 vehicles/hr and 150 vehicles/hour/minute, respectively. (a) Find the equilibrium flow (q*) and the corresponding equilibrium time (t*) algebraically, and sketch the functions. (b) If the length of this highway is 25 miles, what is the average speed of vehicles along this highway? (c) It is proposed to improve this highway such that constant b is now 0.005. What would be the new values of t* and q* and what would be the average speed on this highway?
- 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: Distance from Commercial floor space (thousands of ft²) ... Shopping residential area (mi) center 1 2.4 200 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?Q1. The following is the number of trips and the number of households by the number of persons per household and the level of household income in a given zone. Persons/hh 1 2 3 4 5 or above Low Persons/household 1 2 3 4 5 or more No. of hh Trip No. No. of hh 93 222 149 72 341 138 59 417 125 120 1010 109 13 107 37 Income Medium The forecasted number of households in the study area for a target year is shown below. Low 120 100 90 150 30 Trip No. 616 853 1025 1186 457 High No. of hh Trip No. 96 360 27 205 33 381 40 471 33 423 Income Medium 280 220 190 180 60 High 130 40 50 70 60 (a) Calculate the forecasted number of trips for each combination of the number of persons per household and the level of household income. (b) Alternatively, trip rate can be estimated using the following linear regression equation. Trip rate=0.46+ 1.96 × NPERSON + 1.66 x HINCOME Where NPERSON = no. of persons per household (= 5 for 5 or more persons in household); HINCOME = level of household income (= 0 for low…A Study area with four transportation analysis zones has the following information: Table 3: Trip productions and attractions for a four-zone study area and travel time between zones. Travel Time, (t) (min) Zone Trip productions Trip I 220 2 240 3 330 4 230 attractions 350 270 210 190 Table 4: Travel time versus friction factor. Time (min) 2 Friction Factor 61 1 78 from zone 1 4 9 10 6 3 47 4 37 from zone 2 5 29 5 6 7 5 6 22 from zone 3 7 17 6 8 7 6 8 14 from zone 4 9 10 8 9 11 7 10 8 Using a gravity model, determine the number of trips from zone to zone through two iterations. (Assume that the socioeconomic adjustment factor is 1.0).