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Vehicles arrive at an entrance to a national park at 5:45 am and a park booth collecting entrance fees opens at 6:00 am and process vehicles at a deterministic rate of 20 veh/min. it is estimated that 20% of the arriving vehicles have priority passes and that allow them to access a spate processing booth that also opens at 6:00 am, but processes vehicles at a slower deterministic rate of 15 veh/min. The deterministic arrival rate of vehicles is a function of time such that λ(t) = 17.2-0.2t where t is in minutes after 5:45 am. Determine the average delay per vehicle for the non-priority-pass vehicles and the priority-pass vehicles (starting with their arrival at 6:45 am) until their respective queues clear, assuming D/D/1 queuing

Vehicles arrive at an entrance to a national park at 5:45 am and a park booth collecting entrance fees opens at

6:00 am and process vehicles at a deterministic rate of 20 veh/min. it is estimated that 20% of the arriving vehicles have priority passes and that allow them to access a spate processing booth that also opens at 6:00 am, but processes vehicles at a slower deterministic rate of 15 veh/min. The deterministic arrival rate of vehicles is a function of time such that λ(t) = 17.2-0.2t where t is in minutes after 5:45 am. Determine the average delay per vehicle for the non-priority-pass vehicles and the priority-pass vehicles (starting with their arrival at 6:45 am) until their respective queues clear, assuming D/D/1 queuing 

 
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