Question

A four-lane freeway (two lanes in each direction) has the arrival flow rate of λ(t)=40-0.15t (with t in minutes and λ(t) in vehicles per minute). At 7 am, an accident occurred in the northbound and blocked both lanes. Twenty minutes later, one lane was opened. At 7:40 am the accident was cleared and both lanes were opened. The capacity of the highway is 2,200 vehicles per hour per lane if not impacted by an accident. (Assuming D/D/1 queuing).

- When did the queue caused by this accident completely dissipate?
- What is the total number of vehicles affected by this accident?
- What is the queue length at 7:30 am?

Answer #1

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A segment of four-lane freeway (two lanes in each direction) has
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ramp density for this freeway segment is 2.33 ramps per mile. if
the peak-hour factor is 0.90, what is the level of service of this
compound-grade freeway segment?

A segment of four-lane freeway (two lanes in each direction) has
a 3% upgrade that is 1500 ft long followed by a 1000-ft 4% upgrade.
It has 12-ft lanes and 3-ft shoulders. The directional hourly
traffic flow is 2000 vehicles with 3% SUTs and 3% TTs. The total
ramp density for this freeway segment is 2.33 ramps per mile. if
the peak-hour factor is 0.90, what is the level of service of this
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heavy vehicles. The peak 15-minute volume is 1421 vehicles. What
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An eight-lane freeway (four lanes in each direction) is on
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Vehicles arrive at a toll booth starting at 6 AM at the rate of
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A six-lane divided multilane highway (three lanes in each
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