At the exit of a toll gate with a single booth, vehicles arrive at random at a rate of 20 vehicles per minute. The service has an average rate of 22 vehicles per minute. However, due to variable toll fees, the service is also random with an average rate of 22 vehicles per minute. Estimate average length of queue formed at the toll gate Group of answer choices 7.09 8.09 9.09 6.09

Q: Cars have a long queue at a stop sign. If the total time delay queueing is one min., compute the…

A:

Q: The minimum cycle length for an intersection is determined to be 95 seconds. The critical lane group…

A: Given: The minimum cycle length is 95 sec. The critical lane group flow ratios are 0.235, 0.250,…

Q: Q2/ Calculate the total flow rate of vehicles from the following data : Time period Volume (vehicles…

A: Given that: Time Period 4:00-4:15 4:15-4:30 4:30-4:45 Volume (Vehicles) 700 812 1635

Q: A toll booth on a turnpike is open from 8:00 AM to 12 midnight. Vehicles start arriving at 7:50 AM…

A: Given:- A toll booth on a turnpike is open from 8:00 AM to 12 midnight The vehicles start arriving…

Q: what is the departure rate

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Q: At an impaired driver checkpoint, the time required to conduct the impairment test varies (according…

A: Given Data, Average Flow rate arriving = 30 vehicle/hr Average time spend on test = 60 seconds

Q: 5.12 A toll booth on a turnpike is open from 8:00 A.M. to 12 midnight. Vehicles start arriving at…

A: Vehicle start approaching at 7:45 am Processing time start at 8:00am

Q: At a parking lot, vehicles arrive according to a Poisson process and are processed (parking fee…

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Q: The number of vehicles arriving at the upstream of a freeway bottleneck (free of queues) is shown in…

A: Interval Upstream arrival rate, vph Queue length 6:00-6:15 4000 0 6:15-6:30 6000 10 6:30-6:45…

Q: Vehicles arrive according to a Poisson process (random arrival) to a parking lot with mean arrival…

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Q: Suppose that a crash occurs on a two lane highway, blocking one lane for 45 minutes and dropping the…

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Q: Vehicles start arriving at the entrance of The Galeón at 06:3 am for Covid-19 vaccination; however,…

A: procedure: first, find the departure rate Make a table column and find the arrivals and departures…

Q: 7. Queue Theory: At the end of a sporting event, vehicles begin leaving a parking lot at 2(1) = 12 -…

A: Given:  Equation of Vehicles leaving parking lot  λ(t) = 12-0.25t veh/min  Equation of vehicles…

Q: At time ? = 0, when the border inspection station was scheduled to open, eight vehicles were already…

A: Arrival rate =4 veh/minDeparture rate= 7.5 veh/min

Q: vehicles start to arrive at a parking area at 6 am with an arrival rate function(vehicles per…

A: a)Here assuming that after parking area  and processes T minutes are taken to clear the queue. Now…

Q: 11. A police officer is checking the license and registration of the vehicles crossing a control…

A: Given:- The time taken by the officer to check vehicle = 2 min per veh After 45 min, second officer…