Question

A vehicle queue is formed at an entrance to the toll plaza due to a malfunction...

A vehicle queue is formed at an entrance to the toll plaza due to a malfunction of one of the toll booths. The malfunction is corrected after 30 minutes, at which time all the toll booths are fully operational. The following is known about the traffic and service rate at the toll plaza:

  • Demand (vehicle arrival rate), constant during the entire time = 29 veh/min
  • Normal toll processing rate (vehicle departure rate) = 34 veh/min
  • Toll processing rate (vehicle departure rate) due to malfunction of a toll booth = 27 veh/min
  • Queue duration = 42 minutes.

What is the total queue delay of all vehicles in the queue, in vehicle-minutes?

Engineering   Civil-Engineering   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
An auxiliary lane toll plaza exiting the North Luzon Expressway currently has four toll booths operating....
An auxiliary lane toll plaza exiting the North Luzon Expressway currently has four toll booths operating. Vehicles arrive at the toll plaza at an average rate of 1,200 veh/hr and at the booths, drivers take an average of 10 seconds to pay their toll and accept their change. Both the arrival and departure rates can be assumed to be exponentially distributed. a. If the design utilization ratio, ρ for each toll booth should not exceed 0.75, is the 4-toll booth...
Vehicles arrive at a toll booth starting at 6 AM at the rate of λ(t) =...
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...
Queuing at Amusement Park Vehicle Entrance: Vehicles begin arriving at an amusement park one hour before...
Queuing at Amusement Park Vehicle Entrance: Vehicles begin arriving at an amusement park one hour before the park opens, at a rate of 3 vehicles per min (assume D/D/1). The gate to the parking lot opens 30 minutes before the park opens. If the total delay to vehicles entering the parking lot is 4,056 vehicle-minutes, A. How long after the first vehicle arrival will the queue dissipate? B. What is the average service rate at the parking lot gate?
Suppose you’re designing a bridge for vehicle traffic over the Cache la Poudre River. Cars are...
Suppose you’re designing a bridge for vehicle traffic over the Cache la Poudre River. Cars are expected to arrive at the central toll plaza at a rate of 70 per hour. You will have four toll booths, which can each process cars at a rate of 30 cars per hour. Assume cars arrive into the toll plaza according to a Poisson distribution and wait in queue until the next available toll booth opens up. Assume car processing times are exponentially...
Given: Vehicles begin to arrive at a park entrance at 7:45 A.M. at a constant 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...
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...
Vehicles arrive at an entrance to a stadium. There is a single gate (at which all...
Vehicles arrive at an entrance to a stadium. There is a single gate (at which all vehicles must stop), where a stadium attendant collects a parking fee. There are 20 vehicles waiting in a queue at the stadium gate when it opens at 7:00 PM, at which time vehicles arrive at a rate of 240 veh/h. If the time required to collect a parking fee is 12 seconds and assuming D/D/1 queuing, (1) What time does the queue dissipate and...
Vehicles arrive in a single approach for two consecutive cycles at a signalized intersection. The signal...
Vehicles arrive in a single approach for two consecutive cycles at a signalized intersection. The signal has a 60 second cycle time which consists of a 30 second green interval and a 30 second red interval (ignore yellow interval). The arrival rates are assumed to be constant in both cycles. The arrival rate was 1,080 vehicles/hour in the first cycle and it decreased to 720 vehicles/hour in the second cycle. Assume that all vehicles in the queue formed on red...
What tools could AA leaders have used to increase their awareness of internal and external issues?...
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...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT