4) Traffic on the eastbound approach of a signalized intersection is traveling at 35 mi/hr, with a density of 46 veh/mi/In. The duration of the red signal indication for this approach is 30 sec. If the saturation flow is 1900 veh/h/In with a density of 52 veh/mi/In, and the jam density is 125 veh/mi/In, determine the following: (i) The length of the queue at the end of the red phase (ii) The maximum queue length (iii) The time it takes for the queue to dissipate after the end of the red indication.

4) Traffic on the eastbound approach of a signalized intersection is traveling at 35 mi/hr, with a density of 46 veh/mi/In. The duration of the red signal indication for this approach is 30 sec. If the saturation flow is 1900 veh/h/In with a density of 52 veh/mi/In, and the jam density is 125 veh/mi/In, determine the following: (i) The length of the queue at the end of the red phase (ii) The maximum queue length (iii) The time it takes for the queue to dissipate after the end of the red indication.

Traffic and Highway Engineering

5th Edition

ISBN:9781305156241

Author:Garber, Nicholas J.

Publisher:Garber, Nicholas J.

Chapter6: Fundamental Principles Of Traffic Flow

Section: Chapter Questions

Problem 15P

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The southbound approach of a signalized intersection carries a flow of 1000 veh/h/ln at a velocity of 50 mi/h. The duration of the red signal indication for this approach is 15 sec. If the saturation flow is 2000 veh/h/ln with a density of 75 veh/ln, the jam density is 150 veh/mi, determine the following:a. The length of the queue at the end of the red phaseb. The maximum queue lengthc. The time it takes for the queue to dissipate after the end of the red indication. What do you understand by traffic engineering? Explain.
The southbound approach of a signalized intersection carries a flow of 1000 veh/h/ln at a velocity of 50 mi/h. The duration of the red signal indication for this approach is 15 sec. If the saturation flow is 2000 veh/h/ln with a density of 75 veh/ln, the jam density is 150 veh/mi, determine the following: a. The length of the queue at the end of the red phase b. The maximum queue length c. The time it takes for the queue to dissipate after the end of the red indication.
An approach to a signalized intersection has a saturation flow rate of 1800 veh/h. At the beginning of an effective red, there are six vehicles in the queue and vehicles arrive at 900 veh/h. The signal has a 60- second cycle with 25 seconds of effective red. What is the total vehicle delay after one cycle (assume D/D/1 queuing)?
Traffic on the eastbound approach of a signalized intersection is traveling at 40 mi/h, with a density of 44 veh/mi/ln. The duration of the red signal indication for this approach is 30 sec. If the saturation flow is 19500 veh/h/In with a density of 51 veh/mi/ln, and the jam density is 120 veh/mi/ln, determine the following: 6-11 (a) The length of the queue at the end of the red phase (b) The maximum queue length (c) The time it takes for the queue to dissipate after the end of the red indication.
7. An approach at a pretimed signalized intersection is allocated 30 seconds of effective green in an 80-second signal cycle. The flow at the approach is 500 veh/h and the saturation flow of the approach is 2500 veh/h. Assuming D/D/1 queuing, calculate: 1) the time needed to clear the queue, 2) the average delay per vehicle, and 3) the maximum delay of any vehicle.
An intersection has a three-phase signal with the movements allowed in each phase and corresponding analysis and saturation flow rates shown in the table below. Assume the lost time is 4 seconds per phase and a critical intersection v/c of 0.90 is desired. Phase 3 Allowed movements NB L, SB L NB T/R, SB T/R EB L, WB L EB T/R, WB T/R Analysis flow rate 330, 365 veh/h 1125, 1075 veh/h 110, 80 veh/h 250, 285 veh/h Saturation flow rate 1700, 1750 veh/h 3400, 3300 veh/h 650, 600 veh/h 1750, 1800 veh/h Using v/c equalization ratio, calculate the effective green time for phase 1 O 15.954 sec O 12.105 sec O 14.127 sec O 13.190 sec
An intersection has a three-phase signal with the movements allowed in each phase and corresponding analysis and saturation flow rates shown in the table below. Assume the lost time is 4 seconds per phase and a critical intersection v/c of 0.90 is desired. Phase 2 3 Allowed movements NB L, SB L NB T/R, SB T/R EB L, WBL EB T/R, WB T/R Analysis flow rate 330, 365 veh/h 1125, 1075 veh/h 110, 80 veh/h 250, 285 veh/h Saturation flow rate 1700, 1750 veh/h 3400, 3300 veh/h 650, 600 veh/h 1750, 1800 veh/h Calculate minimum cycle length O 255 sec O 155 sec O 100 sec O 60 sec
An intersection has a three-phase signal with the movements allowed in each phase and corresponding analysis and saturation flow rates shown in the table below. Assume the lost time is 4 seconds per phase and a critical intersection v/c of 0.90 is desired. Phase Allowed movements NB L, SB L NB T/R, SB T/R EB L, WB L EB T/R, WB T/R Analysis flow rate 330, 365 veh/h 1125, 1075 veh/h 110, 80 veh/h 250, 285 veh/h Saturation flow rate 1700, 1750 veh/h 3400, 3300 veh/h 650, 600 veh/h 1750, 1800 veh/h Calculate the sum of the flow ratios for the critical lane groups. O 0.709 O 0.857 O 0.787 O 0.829
For a given one-lane approach of a signalized intersection, the base free flow speed is 40 mph, flow rate is 450 vphpl, saturation flow rate is 1,800 vphgpl, cycle length and red interval are 90 seconds and 30 seconds. Compute the following: The total time duration from the first vehicle in queue to the last queued vehicle being discharged per cycle The longest queue length and total number of vehicles in queue per cycle; Total vehicle-hours of delay and average delay per vehicle per cycle.
An intersection has a three-phase signal with the movement allowed in each phase and corresponding analysis and saturation flow rates shown in the table below. Assume the lost time is 4 seconds per phase and a critical intersection v/c of 0.90 is desired Phase 1 2 3 Allowed Movement NB L, SB L NB T/R, SB T/R EB L, WB L EB /T/R, WB T/R Analysis Flow Rate 330, 365 veh/h 1125, 1075 veh/h 110, 80 veh/h 250, 285 veh/h Saturation Flow Rate 1700, 1750 veh/h 3400, 300 veh/h 650, 600 veh/h 1750, 1800 veh/h Calculate the Following: 1.)Sum of flow ratios for critical lane groups 2.)minimum cycle length 3.)using v/c equation ratio, calculate the effective green time for phase 1 4.)using v/c equation ratio, calculate the effective green time for phase 2 5.)using v/c equation ratio, calculate the effective green time for phase 3
An approach at a signalized intersection with a 60-second cycle gets 30 seconds of displayed green time. Yellow time is 4 seconds and all-red is 2 seconds (lost time is to be determined from standard assumptions). At the beginning of an effective red there are 4 vehicles in the queue and the saturation flow is 876 veh/h. The arrival rate is given by v(t) = 0.20 - 0.002t [with v(t) in veh/s and t in seconds after the beginning of the effective red]. What is the average vehicle delay for this approach in seconds at the end of the cycle (until the next effective red) that started with the 4 vehicles queued at the beginning of the effective red? (Assume D/D/1 queueing. Please provide you answer in decimal form without units)
An intersection has a three-phase signal with the movements allowed in each phase and corresponding analysis and saturation flow rates shown in the table below. Assume the lost time is 4 seconds per phase and a critical intersection v/c of 0.90 is desired. Phase 1 2 3 Allowed movements NB L, SB L NB T/R, SB T/R EB L, WB L EB T/R, WB TR Analysis flow rate 330, 365 veh/h 1125, 1075 veh/h 110, 80 veh/h 250, 285 veh/h Saturation flow rate 1700, 1750 veh/h 3400, 3300 veh/h 650, 600 veh/h 1750, 1800 vehh Calculate minimum cycle length O 255 sec O 60 sec O 155 sec O 100 sec