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 8.9 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 40.02 minutes. (Enter your response rounded to two decimal places.) During less busy periods of the day, when four 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 16 minutes. (Enter your response rounded to two decimal places.) d. Suppose that each customer wants to be served by a specific stylist, 60% want Perez and 40% want Sloan. How long would a customer wait in line, on average, before being served by Perez? By Sloan? Overall? Specify the average time to wait before being served by each stylist. (Enter your responses rounded to two decimal places.) Server Perez Sloan Average waiting time, minutes In this case, the overall average waiting time is minutes. (Enter your response rounded to two decimal places.)
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 8.9 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 40.02 minutes. (Enter your response rounded to two decimal places.) During less busy periods of the day, when four 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 16 minutes. (Enter your response rounded to two decimal places.) d. Suppose that each customer wants to be served by a specific stylist, 60% want Perez and 40% want Sloan. How long would a customer wait in line, on average, before being served by Perez? By Sloan? Overall? Specify the average time to wait before being served by each stylist. (Enter your responses rounded to two decimal places.) Server Perez Sloan Average waiting time, minutes In this case, the overall average waiting time is minutes. (Enter your response rounded to two decimal places.)
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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Can you help me with question D
Transcribed Image Text: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 8.9 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 40.02 minutes. (Enter your response rounded to two decimal places.)
During less busy periods of the day, when four 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 16 minutes. (Enter your response rounded to two decimal places.)
d. Suppose that each customer wants to be served by a specific stylist, 60% want Perez and 40% want Sloan. How long would a customer wait
in line, on average, before being served by Perez? By Sloan? Overall?
Specify the average time to wait before being served by each stylist. (Enter your responses rounded to two decimal places.)
Server
Perez
Sloan
Average waiting time,
minutes
In this case, the overall average waiting time is
minutes. (Enter your response rounded to two decimal places.)
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