Suppose that the projected road vehicle traffic flow in a corridor is 5000 vehicle-trips per hour in one direction. The average perceived user cost functions of the two major highways (Route 1 and Route 2 in the corridor are as follows (in dollars): Route 1: Ci =1 +8(qı/5000) Route 2: C2 = 1+10(q2/2500) Where: qi and q2 are the traffic flows on Route 1 and Route 2 respectively. Calculate the volume of traffic during the peak hour on each route, if users were free to choose their own routes.
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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.Two routes connect a city and suburb. During the peak-hour morning commute, a total of 5000 vehicles travel from the suburb to the city. Route 1 has a 50km/hr speed limit and 5km in length, Route 2 has a 55km/hr speed limit and 4 km in length. Studies show that the total travel time on route 1 increases 2 mins for every extra 500 vehicles added. Mins of travel time on route 2 increase with the square of the no. of vehicles expressed in 000’s. Determine user equilibrium travel times.A large residential area has 1500 households with an average household income of $15,000, an average household size of 5.2, and, on the average, 1.2 working members. Using the model below, predict the change in the number of peak-hour social/recreational trips if employment in the area increased by 20% and household income by 10%. number of peak-hour vehicle-based social/recreational trips per household = 0.04 + 0.018(household size) + 0.009(annual household income [in thousands of dollars]) + 0.16(number of nonworking household members) Round off final answers to whole number.
- A large residential area has 1500 households with an average household income of $15,000, an average household size of 5.2, and, on the average, 1.2 working members. Using the model below, predict the change in the number of peak hour social/recreational trips If employment in the area increased by 20% and household income by 10%. number of peak-hour vehicle-based social/recreational trips per household 0.04 + 0.018(household size)+ 0.009(annual household income in thousands of dollars)+ 0.16(number of nonworking household members)Question:- Traffic counts in the year 2000 at a counting point on a national highway gave ADT as follows: 4000cars,1750 taxis,250 trucks,100 buses.National traffic growth in the area is expected to be 5% for private cars and taxis, 3% for trucks and buses.After improvements, generated traffic for the highway will be 20 % of the 2000 ADT.It is required to design the cross-section of the highway to satisfy the traffic needs by the year 2015 show all visible dimensions on a drawing sketch. Take:-K= 0.15PLC = 800 p.c.e'/hour.directional distribution (D) is 0.6Grab taxis arrive at the Manila International Airport , according to a Poisson process, at the rate of 10 per hour. a. What is the probability that exactly 5 taxis arrive during a 1-hour period? b. If we define a working day as 12 hours, what is the probability that at least 50 taxis arrive during a working day? c. What is the probability that at least 5 arrive during a 1-hour period? Kindly provide a complete solution in 3 decimal points.
- (show your formula) Given the figure above, compute for the Annual Average Daily Traffic of the Motorcycle: * a.233 B.181 C.None of the above D.228 E.183Determine the trip distribution matrix using "Gravity Model" of transport system with given the data: Trip Production of Zones 1, 2 and 3, correspondingly are 500, 600, and 800 tpd Trip Attraction of Zones 1, 2 and 3, correspondingly are 600, 700 and 600 tpd[T] The following table provides hypothetical data regarding the level of service for a certain highway. Plot vehicles per hour per lane on the x-axis and highway speed on the y-axis. Compute the average decrease in speed (in miles per hour) per unit increase in congestion (vehicles per hour per lane) as the latter increases from 600 to 1000, from 1000 to 1500, and from 1500 to 2100. Does the decrease in miles per hour depend linearly on the increase in vehicles per hour per lane? Plot minutes per mile (60 times the reciprocal of miles per hour) as a function of vehicles per hour per lane. Is this function linear? Highway Speed Vehicles per Hour per Lane Density Range (vehicles / mi) > 60 < 600 < 10 60 - 57 600 - 1000 10 - 20 57 - 54 1000 - 1500 20 - 30 54 - 46 1500 - 1900 30 - 45 46 - 30 1900 - 2100 45 - 70 < 30 Unstable 70 - 200
- A toll bridge carries 10,000 veh/day. The current toll is $3.00/vehicle. Studies have shown that for each increase in toll of 50 cents, the traffic volume will decrease by 1000 veh/day. It is desired to increase the toll to a point where revenue will be maximized. Let V be the Volume X be the increase in toll charge (a) Write the expression for travel demand on the bridge related to toll increase and current volume. (b) Determine the increase in toll charge (c) Determine the new toll charge to maximize revenues. (d) Determine traffic in veh/day after toll increase. (e) Determine total revenue increase with new toll.A work-mode-choice model is developed from data acquired in the field in order to determine the probabilities of individual travelers selecting various modes. The mode choices include automobile drive alone (DL), automobile shared-ride(SR), and bus (B). The utility functions are estimated as: UDL = 2.6 – 0.3(costDL) – 0.02(travel time DL) USR = 0.7 – 0.3(costSR) – 0.04(travel time SR) UB = –0.3(costB) – 0.01(travel time B) where cost is in dollars and time is in minutes. The cost of driving an automobile is $5.50 with a travel time of 21 minutes, while the bus fare is $1.25 with a travel time of 27 minutes. How many people will use the shared-ride mode from a community of 4500 workers, assuming the shared-ride option always consists of three individuals sharing costs equally?a vehicle purchased for 43,000 at a constant rate of 25% how many years it takes for the vehicle value to reach 17,000