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

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

Traffic and Highway Engineering

5th Edition

ISBN:9781305156241

Author:Garber, Nicholas J.

Publisher:Garber, Nicholas J.

Chapter4: Traffic Engineering Studies

Section: Chapter Questions

Problem 10P

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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
A mode choice logit model is to be developed based on the following information. A surveyof travellers in an area with bus service found the following data:Model Parameter Auto BusX1, waiting time (min.) 0 10X2, travel time (min.) 20 35X3, parking time (min.) 5 0X4, out-of-pocket cost (cents) 225 100Ak, calibration constant _0.33 _0.27The following utility functions were calibrated based on an observed mode split of 84.9%private auto use and 15.1% bus use.Utility function: Uk = Ak -- 0.10 X1 - 0.13 X2 - 0.12 X3 - 0.0045 X4After implementing service improvements to the buses, the mode split changed to 81.6%private auto use and 18.4% bus use. Determine a value for the calibration constant for the busmode that reflects this shift in mode split.
At a specified point on a highway, vehicles are known to arrive according to a Poissonprocess. Vehicles are counted in 30-second intervals, and vehicle counts are taken in 120 ofthese time intervals. It is noted that no cars arrive in 18 of these 120 intervals. a) Approximate the number of these 120 intervals in which exactly three cars arrive. b) Estimate the Percentage of time headways that will be 10 seconds or greater andthose that will be less than 6 seconds.
5-4.. The following traffic count data were taken from a per- manent detector location on a major state highway. 1. 2. 3. 4. 5. Month No. of Total Total Total Weekdays Days in Monthly Weekday Volume in Month Month Volume (days) (days) (vehs) (vehs) 200,000 210,000 215,000 205,000 195,000 193,000 180,000 175,000 189,000 170,000 171,000 Jan 22 31 Feb 20 28 185,000 180,000: 172,000 168,000 160,000 150,000 -175,000 178,000 182,000 176,000 Mar 22 31 30 Apr May Jun 22 21 31 22 30 Jul 23 31 21 31 Aug Sep Oct 22 30 198,000 205,000 200,000 22 31 Nov 21 30 Dec 22 31 From this data, determine (a) the AADT, (b) the ADT for each month, (c) the AAWT, and (d) the AWT for each month. From this information, what can be dis- cerned about the character of the facility and the demand it serves?
At a specified point on a highway, vehicles are known to arrive according to a Poisson process. Vehicles are counted in 20-second 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. Wrong answers will be downvoted read question carefully
Poisson Distribution – Vehicle Arrival - If we counted the number of vehicles that arrived at a stop sign every 20 seconds. Let's say, for simplicity, we counted vehicles for 1,000 twenty-second intervals Observed • What is the average arrival rate? • What is the probability of 1 vehicle arriving? Frequency (Number of Number of Relative Vehicles Frequency 20-sec Intervals) 135 271 271 180 90 0.135 (13.5% 0.271 (27.1%) 0.271 (27.1%) 0.180 (18.0%) 0.090 (9.0%) 0.053 (5.3%) 1.00 (100.0%) 2 3. 4 53 1,000 5. TOTAL
The data in the table on the right were obtained from a survey. Apply the license plate matching method to estimate the average travel time.
Homework In the entrance of car parking, the vehicle arrival in each counting period of 100 sec. is shown in table below, check whether the arrival distribution of vehicle can be assumed random or not. >4 Vehicle per 100 sec. Frequency 60 28 16 8.
10. Queuing models are derived from underlying assumptions regarding arrival patterns, departure characteristics, and queue disciplines. A. True B. False 11. If the service rate is greater than the arrival rate, the delay predicted by D/D/1 can be greater than that predicted by M/D/1: Α. True B. False 12. To apply the equations for M/M/N queues, the ratio of arrival to service rates must be less than 1.0: Α. True B. False
Question 1 a) The spot speeds and headways of vehicles are measured by two loop detectors on a single lane at location Y on a freeway. A sample of the observations is given below: Vehicle no. ii. 1 2 345 Travel time between loops (seconds) 0.90 0.81 0.92 0.75 1.03 nex nyt q Headway between vehicles (seconds) 3.60 3.14 4.00 3.50 3.72 9 = = =/=/30 S= i. If the loop detectors are spaced 20 meters apart, estimate the space mean speed and flow of the traffic stream. If it is known that the jam density (k;) on this section is 105 vehicles/km per lane, and that a linear speed-density relationship holds, what would you estimate the free-flow speed of the section to be? -110 Ehi n
Q)Briefly discuss TWO (2) aspects of sight distance that must be considered when the driver passing a vehicle through an intersection. Last time copy paste answer gives I downvote solution and report thisf.
1321 GV The following travel times were measured as below. Compute the TMS and SMS for this data (tabulate your answer). Vehicle Travel time (sec) Speed (km/hr) 1 132 ? 2 168 ? 3 144 70 4 126 ? 5 144 70 6 156 ?