Fantastic Styling Salon is run by three​ stylists, Jenny​ Perez, Jill​ Sloan, and Jerry​ Tiller, each capable of serving three customers per​ hour, on average. During busy periods of the​ day, when six customers on average arrive per​ hour, all three stylists are on staff.a. If all customers wait in a common line for the next available​ stylist, how long would a customer wait in​ line, on​ average, before being​ served? The average waiting time in a common line is ____ minutes. ​(Enter your response rounded to two decimal​ places.)b. Suppose that each customer wants to be served by a specific​ stylist, 1/3 want​ Perez, 1/3 want​ Sloan, 1/3 want Tiller. How long would a customer wait in​ line, on​ average, before being​ served?The average waiting time is ____ minutes. ​(Enter your response rounded to two decimal​ places.)During less busy periods of the​ day, when fourfour customers on average arrive per​ hour, only Perez and Sloan are on staff.c. If all customers wait in a common line for the next available​ stylist, how long would a customer wait in​ line, on​ average, before being​ served? The average waiting time in a common line is ___ minutes. ​

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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Fantastic Styling Salon is run by three​ stylists, Jenny​ Perez, Jill​ Sloan, and Jerry​ Tiller, each capable of serving three customers per​ hour, on average. 
During busy periods of the​ day, when six customers on average arrive per​ hour, all three stylists are on staff.
a. If all customers wait in a common line for the next available​ stylist, how long would a customer wait in​ line, on​ average, before being​ served? 
The average waiting time in a common line is ____ minutes. ​(Enter your response rounded to two decimal​ places.)
b. Suppose that each customer wants to be served by a specific​ stylist, 1/3 want​ Perez, 1/3 want​ Sloan, 1/3 want Tiller. How long would a customer wait in​ line, on​ average, before being​ served?
The average waiting time is ____ minutes. ​(Enter your response rounded to two decimal​ places.)
During less busy periods of the​ day, when fourfour customers on average arrive per​ hour, only Perez and Sloan are on staff.
c. If all customers wait in a common line for the next available​ stylist, how long would a customer wait in​ line, on​ average, before being​ served? 
The average waiting time in a common line is ___ minutes. ​

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