[Queuing Theory - Operation research] Customers arrive according to the Poisson distribution with mean 20 per hour. Service time is exponential with mean 30 minutes. (a) Determine the minimum number of servers the Salon should have to achieve a steady-state. Explain why. (b) Because of a significant number of customers who balked, the owner wants to determine the number of servers so that the average waiting time before having the service is not more 10 minutes. How many servers should the salon have?

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[Queuing Theory - Operation research]

Customers arrive according to the Poisson distribution with mean 20 per hour. Service time is exponential with mean 30 minutes.

(a) Determine the minimum number of servers the Salon should have to achieve a steady-state. Explain why.

(b) Because of a significant number of customers who balked, the owner wants to determine the number of servers so that the average waiting time before having the service is not more 10 minutes. How many servers should the salon have?

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