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A vehicle queue is formed at an entrance to the toll plaza due to a malfunction...

A vehicle queue is formed at an entrance to the toll plaza due to a malfunction of one of the toll booths. The malfunction is corrected after 30 minutes, at which time all the toll booths are fully operational. The following is known about the traffic and service rate at the toll plaza:

  • Demand (vehicle arrival rate), constant during the entire time = 29 veh/min
  • Normal toll processing rate (vehicle departure rate) = 34 veh/min
  • Toll processing rate (vehicle departure rate) due to malfunction of a toll booth = 27 veh/min
  • Queue duration = 42 minutes.

What is the total queue delay of all vehicles in the queue, in vehicle-minutes?

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