A new computer system is put in place at a toll booth, Operation Management

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A new computer system is put in place at a toll booth

A new computer system is put in place at a toll booth.

The system comes online at 9:00am (with no vehicles in the queue) and vehicles arrive at a rate of ?(t) = 12 - 0.4t (with ?(t) in veh/min and t in min).

Due to a computer system failure, cars are not serviced until 9:10am.

Between 9:10 and 9:20 they are serviced at 3 veh/min. After 9:20 they are serviced at 15 veh/min.

Assuming D/D/1 queuing, what is the total vehicle delay in veh-min?

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Operation Management: A new computer system is put in place at a toll booth

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