5.19 At 8:00 A.M. there are 10 vehicles in a queue at a toll booth and...

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Civil Engineering

5.19 At 8:00 A.M. there are 10 vehicles in a queue at a tollbooth and vehicles are arriving at a rate of Ȝ(t) = 6.9 − 0.2t.Beginning at 8 A.M., vehicles are being serviced at a rate of ȝ(t)= 2.1 + 0.3t (Ȝ(t) and ȝ(t) are in vehicles per minute and t is inminutes after 8:00 A.M.). Assuming D/D/1 queuing, what is themaximum queue length, and what would the total delay be from 8:00A.M. until the queue clears?

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