Consider the following plot of cumulative arriving and departing vehicles at a freeway bottleneck location: Vehicles 20,000 15,000 10,000 5,000 0 0 30 60 90 120 150 180 210 240 270 300 330 360 Time (mins) Arrivals (vehs) Departures (vehs) From this plot, determine the following: A. What is the capacity of the bottleneck location? 9000 whole number, i.e. X000.) B. What is the maximum size of the queue that develops? 3250 whole number, i.e. X000.) C. What is the longest wait time that any vehicle experiences during the breakdown? to the nearest whole number, i.e. XX.) (Hint: Provide the answer as a numerical number only in units of vehicles per hour and rounded to the nearest thousand (Hint: Provide the answer as a numerical number only in units of vehicles and rounded to the nearest thousand (Hint: Provide the answer as a numerical number only in units of minutes and rounded

Consider the following plot of cumulative arriving and departing vehicles at a freeway bottleneck location: Vehicles 20,000 15,000 10,000 5,000 0 0 30 60 90 120 150 180 210 240 270 300 330 360 Time (mins) Arrivals (vehs) Departures (vehs) From this plot, determine the following: A. What is the capacity of the bottleneck location? 9000 whole number, i.e. X000.) B. What is the maximum size of the queue that develops? 3250 whole number, i.e. X000.) C. What is the longest wait time that any vehicle experiences during the breakdown? to the nearest whole number, i.e. XX.) (Hint: Provide the answer as a numerical number only in units of vehicles per hour and rounded to the nearest thousand (Hint: Provide the answer as a numerical number only in units of vehicles and rounded to the nearest thousand (Hint: Provide the answer as a numerical number only in units of minutes and rounded

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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1. A study of speed-flow-density relationships at a particular site has resulted in the following calibrated equation and graph 1:- (a) Assuming a linear relationship, derive the equations depicting the relationship between flow and density and speed and flow, for this site. (b) How long will it take for the last vehicle queued during the red phase to clear once the light turns green? Speed km/h 80.0 70.0 60.0 50.0 40.0 30.0 20.0 10.0 0.0 0 20 ū = 71.2 (1-122) Speed vs Density Curve 40 80 60 Density veh/km GRAPH 1 100 120 140
A simple road network shown below has two way links. The travel time in minutes for zero volumes is also shown. Using Dijkstras algorithm, determine the following: 1. Minimum path and minimum travel time from zone B to C. Show all necessary diagrams 2. Minimum path and minimum travel time from zone A to D. Show all necessary diagrams
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 condition
7. The following table shows traffic flow data collected at the main road in an urban area, in two successive days during the peak period Day one Flow (veh) Day two Time Flow (veh) 7:30 – 7:45 7:45 – 8:00 900 950 960 8:00 – 8:15 1010 1015 8:15 – 8:30 990 980 (a) Determine the peak hour factor (PHF) (b) Estimate the missing traffic flow count (x) on day two.
Question 4 Vehicles begin to arrive at a border gate at 06h50 with a deterministic arrival rate of λ (t) = 5.2 - 0.01t (λ is in vehicles per minute and t in minutes after 06h50). However, the gate opens at 07h00 and serves vehicles at a rate of μµ(t) =3.3 + 2.4t (with t in minutes after 07h00 and u in vehicles per minute). Once the service rate reaches 10 vehicles per minute, it stays at that level for the rest of the day. ● ● Illustrate the operational characteristics of the vehicle queue-delay on a (cumulative) vehicle-Time graph. When will the queue that forms be dissipated? What will be the maximum queue length? Determine the total delay.
At a specified point on a highway, vehicles are known to arrive according to a Poisson process. Vehicles are counted in 20-second s are intervals, and vehicle counts are taken in 120 of these time intervals. It is noted that no cars arrive in 18 of these 120 intervals. Approximate the number of these 120 intervals in which exactly three cars arrive.
Make a cumulative vehicle diagram and queue accumulation polygon based on the following field data collected from an approach at a signalized intersection, namely: 1. Cycle length = 72 seconds 2. Red interval = 30 seconds 3. Green interval = 42 seconds 4. Vehicle arival flow = 900 vehicles/hour %3D %3D 5. Saturation flow rate = 1800 vehicles/hour 6. Vehicle departures every 2 seconds
Vehicles arriving at an intersection from one of the approach roads follow the Poisson distribution. The mean rate of arrival is 900 vehicles per hour. If a gap is defined as the time difference between two successive vehicle arrivals (with vehicles assumed to be points), the probability (up to four decimal places) that the gap is greater than 8 seconds is
Can someone please show me how to solve this step by step. Thank you Suppose you are hired by the UHM Transportation and Traffic Lab (TTL) to analyze vehicle arrivals at one lane of the interchange bridge connecting I-25 and I-40 for the period from 12:00am to 4:00am in a weekday. It is known that vehicle arrivals follow a Poisson process at this location. There is a single-loop detector embedded on this lane at the end of the interchange bridge. Since you do not want to go to the bridge to count vehicles at this time period, you decided to use the loop detector data for the analysis. Of the 720 20-second intervals (the loop detection system stores data every 20 seconds), 508 intervals were identified to have at least one vehicle detected. Assume the loop detector is free of error. Please estimate the vehicle arrival rate (vehicles per second) for this lane. With the estimated arrival rate, please calculate the probability of having three or more vehicles detected in a 20-second…
In the plot of cumulative vehicle arrivals and cumulative vehicle departure curves (y-axis) vs. time (x-axis), the queue disappears when: Group of answer choices The cumulative arrival = cumulative departure The cumulative departure = 0 The cumulative arrival = 0 The departure rate (or service rate) > arrival rate