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In: Operations Management

Customers arrive at the rate of 100 per hour. The ticket seller averages 30 seconds per...

Customers arrive at the rate of 100 per hour. The ticket seller averages 30 seconds per customer. What is the average customer time in the system?

Solutions

Expert Solution

Arrival rate (λ) 100 customers per hour
Service rate (μ) 3600/30 120 customers per hour
Ws = Average time spent in the system (waiting + service time)
Ws = 1/(μ - λ)
Ws = 1/(120-100) Ws = 1/20 Ws = 0.05 hours
Ws = 3 minutes

keosha answered 3 years ago
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