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Q3) At freeway entrance toll booths, following information are known: 0 Total number of toll booths: 7 Average service time for 1 toll booth: 12 sec Observation duration: 5 hours Arrival rate of vehicles and number of active toll booths: Time interval Arrival Rate Number of Active Toll (min) (veh/h) Booths 0-45 1897 Time interval (min) Number 45-75 2901 0-60 7 75-120 1077 1 60-180 180-300 120-300 501 6 Provide an analysis of this toll booth by assuming D/D/7 queuing, by drawing arrivals & departure curves approximately: a) Use initial queue length as zero and find: al) Queue dissipation time a2) Maximum queue length a3) Average delay of queued vehicles a4) How long queue lasts? a5) How many vehicles arrived without experiencing any queue delay? b) Use initial queue length as 407 veh and find: b1) Queue dissipation time b2) Maximum queue length b3) Average delay of queued vehicles b4) How long queue lasts? b5) How many vehicles arrived without experiencing any queue delay?
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