Question

Customers arrive at a suburban ticket outlet at the rate of 10 per hour on Monday mornings. This can be described by a Poisson distribution. Selling the tickets and providing general information takes an average of 5 minutes per customer, and varies exponentially. There is 1 ticket agent on duty on Mondays. Determine the System Utilization

Answer 1

arrival rate

(X) = 10/hour

service rate

W) = 5 minutes per customer = 60/5 = 12 customer/hour

system utilization = $\frac{\lambda}{\mu}$ = 10/12 = 0.833

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