The Hair Port is a hair-styling salon at Riverside Mall. Four stylists are always available to serve customers on a first-come, first-served basis. Customers arrive at an average rate of four per hour (Poisson distributed), and the stylists spendan average of 45 minutes (exponentially distributed) oneach customer.a. Determine the average number of customers in thesalon, the average time a customer must wait, and theaverage number waiting to be served.b. The salon manager is considering adding a fifth stylist.Would this have a significant impact on waiting time?
The Hair Port is a hair-styling salon at Riverside Mall. Four stylists are always available to serve customers on a first-come, first-served basis. Customers arrive at an average rate of four per hour (Poisson distributed), and the stylists spendan average of 45 minutes (exponentially distributed) oneach customer.a. Determine the average number of customers in thesalon, the average time a customer must wait, and theaverage number waiting to be served.b. The salon manager is considering adding a fifth stylist.Would this have a significant impact on waiting time?
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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The Hair Port is a hair-styling salon at Riverside Mall. Four
stylists are always available to serve customers on a first-
come, first-served basis. Customers arrive at an average rate
of four per hour (Poisson distributed), and the stylists spend
an average of 45 minutes (exponentially distributed) on
each customer.
a. Determine the average number of customers in the
salon, the average time a customer must wait, and the
average number waiting to be served.
b. The salon manager is considering adding a fifth stylist.
Would this have a significant impact on waiting time?
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