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A traffic stream of 3-lane freeway (one direction) can be described by the following model: u = 0.5 uf 1± (1 [1 q 5910. 6) 0.5] q ≤ 5910 vph = where u speed in mph, us = free flow speed in mph, q = flow rate in vph It is assumed that the free flow speed, uf, is 65 mph, the jam density, kj, is 350 vpm, and the freeway capacity, cap, is 5910 vph. At 10:00 am on a day, an accident occurs where the flow rate, 91, is 5100 vph. Due to this incident, one lane (of the three lanes) is closed for 15 minutes. Then, at 10:15 am, this incident is resolved, and the closed lane opens again. Assume that the flow rate under the incident conditions (i.e., the remaining capacity with the two lanes), 92, is 3940 vph. 1. What is the queue length at 10:15 am (i.e., at the time of incident clearance)? [5 pts] 2. Determine how long it will take for the queue that forms to dissipate. [5 pts] 3. What is the additional queue length occurring after removal of the incident? [5 pts] 4. What is the total length of freeway affected by queuing? [5 pts] 5. What time does the traffic flow return to normal (i.e., pre-incident conditions) at the incident location? [5 pts]

A traffic stream of 3-lane freeway (one direction) can be described by the following model: u = 0.5 uf 1± (1 [1 q 5910. 6) 0.5] q ≤ 5910 vph = where u speed in mph, us = free flow speed in mph, q = flow rate in vph It is assumed that the free flow speed, uf, is 65 mph, the jam density, kj, is 350 vpm, and the freeway capacity, cap, is 5910 vph. At 10:00 am on a day, an accident occurs where the flow rate, 91, is 5100 vph. Due to this incident, one lane (of the three lanes) is closed for 15 minutes. Then, at 10:15 am, this incident is resolved, and the closed lane opens again. Assume that the flow rate under the incident conditions (i.e., the remaining capacity with the two lanes), 92, is 3940 vph. 1. What is the queue length at 10:15 am (i.e., at the time of incident clearance)? [5 pts] 2. Determine how long it will take for the queue that forms to dissipate. [5 pts] 3. What is the additional queue length occurring after removal of the incident? [5 pts] 4. What is the total length of freeway affected by queuing? [5 pts] 5. What time does the traffic flow return to normal (i.e., pre-incident conditions) at the incident location? [5 pts]

Traffic and Highway Engineering
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 9P
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A traffic stream of 3-lane freeway (one direction) can be described by the following model: u = 0.5 uf 1± (1 [1 q 5910. 6) 0.5] q ≤ 5910 vph = where u speed in mph, us = free flow speed in mph, q = flow rate in vph It is assumed that the free flow speed, uf, is 65 mph, the jam density, kj, is 350 vpm, and the freeway capacity, cap, is 5910 vph. At 10:00 am on a day, an accident occurs where the flow rate, 91, is 5100 vph. Due to this incident, one lane (of the three lanes) is closed for 15 minutes. Then, at 10:15 am, this incident is resolved, and the closed lane opens again. Assume that the flow rate under the incident conditions (i.e., the remaining capacity with the two lanes), 92, is 3940 vph. 1. What is the queue length at 10:15 am (i.e., at the time of incident clearance)? [5 pts] 2. Determine how long it will take for the queue that forms to dissipate. [5 pts] 3. What is the additional queue length occurring after removal of the incident? [5 pts] 4. What is the total length of freeway affected by queuing? [5 pts] 5. What time does the traffic flow return to normal (i.e., pre-incident conditions) at the incident location? [5 pts]
Transcribed Image Text:A traffic stream of 3-lane freeway (one direction) can be described by the following model: u = 0.5 uf 1± (1 [1 q 5910. 6) 0.5] q ≤ 5910 vph = where u speed in mph, us = free flow speed in mph, q = flow rate in vph It is assumed that the free flow speed, uf, is 65 mph, the jam density, kj, is 350 vpm, and the freeway capacity, cap, is 5910 vph. At 10:00 am on a day, an accident occurs where the flow rate, 91, is 5100 vph. Due to this incident, one lane (of the three lanes) is closed for 15 minutes. Then, at 10:15 am, this incident is resolved, and the closed lane opens again. Assume that the flow rate under the incident conditions (i.e., the remaining capacity with the two lanes), 92, is 3940 vph. 1. What is the queue length at 10:15 am (i.e., at the time of incident clearance)? [5 pts] 2. Determine how long it will take for the queue that forms to dissipate. [5 pts] 3. What is the additional queue length occurring after removal of the incident? [5 pts] 4. What is the total length of freeway affected by queuing? [5 pts] 5. What time does the traffic flow return to normal (i.e., pre-incident conditions) at the incident location? [5 pts]
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