Three routes connect an origin and destination with performance function t; = a¡ + bjxj/c¡ (with t's in minutes and x's in thousands of vehicles per hour). If the total origin-to-destination hourly demand is 10,000 vehicles, what is a travel time in minutes (input answer in a form 00,00 minutes). Route 1 Route 2 Route 3 a 13 8 b 1.9 2.5 2.1 8 7
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- hree routes connect an origin and a destination with performance functions: ?1=8+0.5?1; ?2=1+2?2; and ?3=3+0.75?3; with the x’s being the traffic volume expressed in thousands of vehicles per hour and t’s being the travel time expressed in minutes. If the peak hour traffic demand is 3400 vehicles, determine user equilibrium traffic flows. [Hint: Note that one of the paths will not be used under the equilibrium conditionAn origin-destination pair is connected by a route with a performance function tj = 8 + X1, and another with a function t2 = 1 + 2x2 (with x's in thousands of vehicles per hour and t's in minutes). If the total origin destination flow is 4000 veh/h, determine user equilibrium and system-optimal route travel times, total travel time (in vehicle- minutes), and route flows.An origin-destination pair is connected by a route with a performance function t₁ = 8 + x₁, and another with a function t₂ = 1 + 2x₂ (with x's in thousands of vehicles per hour and t's in minutes). If the total origin destination flow is 4000 veh/h, determine user equilibrium and system-optimal route travel times, total travel time (in vehicle-minutes), and route flows.
- 2) Given the following data for five traffic analysis zones (TAZ): Zone Production Attraction 1 1 2 4 The travel times are as follows: 5 13 min 20 min 15 min 450 600 270 325 0 9 min 7 min 5 min 3 400 750 120 0 350 Determine the trips on the following: T1-3 and T2-5.8.25 Two routes connect an origin and destination with performance functions t₁ = 5 + 3x₁ and t₂ = 7+ X2, with t's in minutes and x's in thousands of vehicles per hour. Total origin-destination demand is 7000 vehicles in the peak hour. What are user- equilibrium and system-optimal route flows and total travel times?to no congestion on the road further downstream of the railway grade crossing. QUESTION 5: Consider trip distribution within 5 zones in an area. The total trip production from zone 1 is 1000. The travel times from zone 1 to zones 2, 3, 4 and 5 are 5, 10, 20, and 30 minutes, respectively. The trip attraction to zones 2, 3, 4 and 5 are 50, 200, 75, and 450, respectively. Assume that the number of trips produced from zone 1 to zones 2, 3, 4 and 5 is inversely proportional to the inter-zonal travel time. (a) Estimate the number of trips from zone 1 to zones 2, 3, 4 and 5 using the gravity model. (b) Assume that the future trip production from zone I will increase to 1,250 and the future trip attraction to zones 2, 3, 4 and 5 will increase to 100, 225, 100, and 600, respectively. Predict the number of trips from zone 1 to zones 2, 3, 4 and 5. The inter-zonal travel times remain the same. (c) Compare the number of trips from zone 1 to each destination zone between (a) and (b). Identify the…
- Automobile Transit 0 10 Model Parameter X₁, waiting time (min.) X₂, travel time (min.) X₁. parking time (min.) 20 35 5 0 X4, out-of-pocket cost (cents) 225 100 A. calibration constant -0.33 -0.27 B. After implementing service improvements to the mass transit, the mode split changed to 81.4% private automobile use and 18.6% mass transit use. Determine a value for the waiting time for the mass transit mode that reflects this shift in mode split.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?Given the following transportation network and the production/attraction data in each zone. 4 min 1 3 min 2 min 3 min 5 7 min 4 min 4 min Production/Attraction Table 3 249.4 180.0 163.5 None of the above 2 3 min Zone 1 2 3 4 5 Production 600 475 1000 500 300 Attraction 400 200 100 420 0 The number of trips originating from Zon2 3 and ending in Zone 5 is
- 1. Planners have estimated the following models for the AM Peak Hour T₁ = 1.5 H₁ T; - (1.5 Euj1) + (1 Euthy) + (0.5 Eretj) Where: T - Person Trips Originating in Zone i T₁ = Person Trips Destined for Zone j H Esti Eath Eret Variable 10000 8000 3000 2000 Data Dakotopolis 15000 10000 5000 1500 New Fargo A. What are the number of person trips originating in and destined for each city? B. Normalize the number of person trips so that the number of person trip origins = the number of person trip destinations. Assume the model for person trip origins is more accurate.A subway line has the following characteristics: Line length: 30 km 16 2 km 30 sec 3 min/terminal 80 km/h 1.4 m/sec2 1.25 m/sec2 Number of stations: Station spacing: Station dwell time: Minimum terminal time Maximum train speed: Deceleration rate: Acceleration rate: If the headway of the service is 5 minutes: I. II. Find the number of TUs needed for the service as well as the terminal times. The service provider needs to reduce the number of transit units by two through skip- stop operations while maintaining the same service headway on Major stations. Determine number of stops that can be operated as skip stops to satisfy the ervice provider's needs.4. Three routes connect and origin and a destination with performance functions t₁ = 8 + x₁, t₂ = 1 + 2x₂, and t3 = 1 + 0.5x3 (with x's in thousands of vehicles per hour and t's in minutes). If the peak-hour traffic demand is 3400 vehicles, determine user- equilibrium traffic flows on each route. [Ans: x₂ = 0.68]