Question

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 minutes after 8:00 A.M.). Assuming D/D/1 queuing, a) (14 points) What is the maximum queue length, Qmax? b) (8 points) What is the time T from 8:00AM until the queue that started forming at 8:00 A.M. disappeared?

Answer #1

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