A new customer walks into SLC Barber Shop every 60 minutes on average, with a standard deviation of the interarrival times being 60 minutes. At SLC Barber Shop, the average service time is 30 minutes, with a standard deviation of service times being 45 minutes. What is the average number of customers in the barber shop including those that are waiting in line and those receiving service? What is the average number of customers in service?

A new customer walks into SLC Barber Shop every 60 minutes on average, with a standard deviation of the interarrival times being 60 minutes. At SLC Barber Shop, the average service time is 30 minutes, with a standard deviation of service times being 45 minutes. What is the average number of customers in the barber shop including those that are waiting in line and those receiving service? What is the average number of customers in service?

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section12.5: Analytic Steady-state Queueing Models

Problem 9P

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A new customer walks into SLC Barber Shop every 60 minutes on average, with a standard deviation of the inter arrival times being 60 minutes. At SLC Barber Shop, the average service time is 30 minutes, with astandard deviation of service times being 45 minutes. What is the average amount of time a customer spends in the process (in minutes) including the waiting time and the service time?
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