Please be careful to account for the change to a constant rate - especially when calculating when the queue clears and the average delay per vehicle !!
If you can, please provide a little extra detail / reasoning behind the steps. ( I have made dozens of attempts at this question, but I'm getting tripped up somewhere). Thank you!
Vehicles arrive at a toll booth starting at 5:55 AM at a rate of (t) = 2.2 -0.05(with (1) in vehimin and tin minutes after 5:55 AM). The toll booth opens at 6:00 AM and processes vehicles at a rate of (t) = 2.2 +0.2 [with (1) in veh/min and tin minutes after 6:00 AM] until a rate of 3.2 veh/min is reached and the service rate remains at 3.2 veh/min until the queue clears. Assuming D/D/1 queuing, when does the queue clear in minutes after 5:55 AM) and what is the average delay per vehicle? Please select the answer with the correct combination of time and delay. Minutes after 5:55 AM when queue is clear: 10.4 minutes Average delay per vehicle: 2.9 minutes per vehicle O Minutes after 5:55 AM when queue is clear: 16.5 minutes Average delay per vehicle: 4.3 minutes per vehicle O Minutes after 5:55 AM when queue is clear: 21.4 minutes Average delay per vehicle: 4.6 minutes per vehicle O Minutes after 5:55 AM when queue is clear. 16.9 minutes Average delay per vehicle: 3.5 minutes per vehicle O Minutes after 5:55 AM when queue is clear: 48.6 minutes Average delay per vehicle: 6.6 minutes per vehicle O Minutes after 5:55 AM when queue is clear: 61.2 minutes Average delay per vehicle: 11.6 minutes per vehicle Minutes after 5:55 AM when queue is clear: 11.1 minutes Average delay per vehicle: 2.8 minutes per vehicle O Minutes after 5:55 AM when queue is clear: 11.8 minutes Average delay per vehicle: 3.0 minutes per vehicle Minutes after 5:55 AM when queue is clear: 23.1 minutes Average delay per vehicle: 4.6 minutes per vehicle O Minutes after 5:55 AM when queue is clear. 57.0 minutes Average delay per vehicle: 7.6 minutes per vehicle Minutes after 5:55 AM when queue is clear: 24.3 minutes Average delay per vehicle: 3.4 minutes per vehicle O Minutes after 5:55 AM when queue is clear. 31.6 minutes Average delay per vehicle: 4.3 minutes per vehicle O Minutes after 5:55 AM when queue is clear: 40.4 minutes Average delay per vehicle: 5.3 minutes per vehicle O Minutes after 5:55 AM when queue is clear: 30.0 minutes Average delay per vehicle: 4.6 minutes per vehicle Minutes after 5:55 AM when queue is clear: 10.4 minutes Average delay per vehicle: 2.0 minutes per vehicle O Minutes after 5:55 AM when queue is clear: 26.2 minutes Average delay per vehicle: 4.4 minutes per vehicle O Minutes after 5:55 AM when queue is clear: 66.3 minutes Average delay per vehicle: 11.5 minutes per vehicle O Minutes after 5:55 AM when queue is clear: 13.8 minutes Average delay per vehicle: 3.2 minutes per vehicle O Minutes after 5:55 AM when queue is clear: 15.0 minutes Average delay per vehicle: 3.2 minutes per vehicle O Minutes after 5:55 AM when queue is clear: 24.2 minutes Average delay per vehicle: 3.7 minutes per vehicle Vehicles arrive at a toll booth starting at 5:55 AM at a rate of (t) = 2.2 -0.05(with (1) in vehimin and tin minutes after 5:55 AM). The toll booth opens at 6:00 AM and processes vehicles at a rate of (t) = 2.2 +0.2 [with (1) in veh/min and tin minutes after 6:00 AM] until a rate of 3.2 veh/min is reached and the service rate remains at 3.2 veh/min until the queue clears. Assuming D/D/1 queuing, when does the queue clear in minutes after 5:55 AM) and what is the average delay per vehicle? Please select the answer with the correct combination of time and delay. Minutes after 5:55 AM when queue is clear: 10.4 minutes Average delay per vehicle: 2.9 minutes per vehicle O Minutes after 5:55 AM when queue is clear: 16.5 minutes Average delay per vehicle: 4.3 minutes per vehicle O Minutes after 5:55 AM when queue is clear: 21.4 minutes Average delay per vehicle: 4.6 minutes per vehicle O Minutes after 5:55 AM when queue is clear. 16.9 minutes Average delay per vehicle: 3.5 minutes per vehicle O Minutes after 5:55 AM when queue is clear: 48.6 minutes Average delay per vehicle: 6.6 minutes per vehicle O Minutes after 5:55 AM when queue is clear: 61.2 minutes Average delay per vehicle: 11.6 minutes per vehicle Minutes after 5:55 AM when queue is clear: 11.1 minutes Average delay per vehicle: 2.8 minutes per vehicle O Minutes after 5:55 AM when queue is clear: 11.8 minutes Average delay per vehicle: 3.0 minutes per vehicle Minutes after 5:55 AM when queue is clear: 23.1 minutes Average delay per vehicle: 4.6 minutes per vehicle O Minutes after 5:55 AM when queue is clear. 57.0 minutes Average delay per vehicle: 7.6 minutes per vehicle Minutes after 5:55 AM when queue is clear: 24.3 minutes Average delay per vehicle: 3.4 minutes per vehicle O Minutes after 5:55 AM when queue is clear. 31.6 minutes Average delay per vehicle: 4.3 minutes per vehicle O Minutes after 5:55 AM when queue is clear: 40.4 minutes Average delay per vehicle: 5.3 minutes per vehicle O Minutes after 5:55 AM when queue is clear: 30.0 minutes Average delay per vehicle: 4.6 minutes per vehicle Minutes after 5:55 AM when queue is clear: 10.4 minutes Average delay per vehicle: 2.0 minutes per vehicle O Minutes after 5:55 AM when queue is clear: 26.2 minutes Average delay per vehicle: 4.4 minutes per vehicle O Minutes after 5:55 AM when queue is clear: 66.3 minutes Average delay per vehicle: 11.5 minutes per vehicle O Minutes after 5:55 AM when queue is clear: 13.8 minutes Average delay per vehicle: 3.2 minutes per vehicle O Minutes after 5:55 AM when queue is clear: 15.0 minutes Average delay per vehicle: 3.2 minutes per vehicle O Minutes after 5:55 AM when queue is clear: 24.2 minutes Average delay per vehicle: 3.7 minutes per vehicle
