Question

Vehicles arrive at a freeway on-ramp meter at a constant rate of six per minute starting at 6.00 A.M. Service begins at 6.00 AM such that µ(t) = 2 + 0.4, where µ(t) is in veh/min and t is in minutes after 6:00 A.M. What is the total delay and the maximum queue length in vehicles?

Answer #1

Vehicles arrive at a freeway on-ramp meter at a constant rate of
six per minute starting at 6.00 A.M. Service begins at 6.00 AM such
that µ(t) = 2 + 0.4, where µ(t) is in veh/min and t is in minutes
after 6:00 A.M. What is the total delay and the maximum queue
length in vehicles?

At the signalized intersection, the vehicles began to arrive
from 7:00 am (beginning of the traffic study) at the rate of 6
veh/min for 20 minutes, and declined to 1 veh/min. The traffic
signal is assumed to have an effective red and green only starting
from red at 7:00 am. The length of the effective green is 4 minutes
and effective red time is 3 minutes per cycle. The discharge rate
of the vehicles on effective green is 6 veh/minute....

Vehicles arrive at a toll booth starting at 6 AM at the rate of
λ(t) = 5 - 0.05t with λ(t) in veh/min and t in minutes after 6 AM.
The first operator processes cars at a rate of 3.5 veh/min from 6
AM until 6:15 AM when the person leaves because of illness. From
6:15 AM to 6:30 AM, no one is at the toll booth but a new operator
arrives at 6:30 AM and processes at the rate...

Given: Vehicles begin
to arrive at a park entrance at 7:45 A.M. at a constant rate of six
per minute and at a constant rate of four vehicles per minute from
8:00 A.M. on. The park opens at 8:00 A.M. and the manager wants to
set the departure rate so that the average delay per vehicle is no
greater than 9 minutes (measured from the time of the first arrival
until the queue clears).
Find: Assuming D/D/1 queuing, what is...

At 8:00 A.M. there are no vehicles in queue at a toll booth and
vehicles start arriving at a rate of ?(?) = ?. ? − ?. ?? ?. From
8:00 to 8:05 A.M. no vehicles are serviced, ?(?) = ? for ? ≤ ? <
?, and beginning at 8:05 A.M. vehicles are serviced at a rate ?(?)
= ?. ? ? − ? for ? ≥ ? min (?(?) and ?(?) are in vehicles/minute
and ? is in...

Trucks begin to arrive at a weigh station (with a single scale)
at 6:00 AM at a rate of λ(t) = 4.0 – 0.25t (t in minutes and λ(t)
in vehicles per minute). The time to weigh each truck is constant
30 seconds. Draw the queuing diagram and determine the
following.
a) The time when the queue that formed will be cleared
b) Maximum queue
c) The average delay per truck

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...

What tools could AA leaders have used to increase their
awareness of internal and external issues?
???ALASKA AIRLINES: NAVIGATING CHANGE
In the autumn of 2007, Alaska Airlines executives adjourned at
the end of a long and stressful day in the
midst of a multi-day strategic planning session. Most headed
outside to relax, unwind and enjoy a bonfire
on the shore of Semiahmoo Spit, outside the meeting venue in
Blaine, a seaport town in northwest
Washington state.
Meanwhile, several members of...

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