A barber shop has one barber who can give 12 haircuts per hour. Customers arrive at a rate of 8 customers per hour. Customer inter-arrival times and service times are exponentially distributed. The following queuing analysis spreadsheet was developed from this information. Arrival rate 12 1 (max of 40) Service rate Number of servers 66.67% 0.3333 1.3333 2.0000 0.1667 0.2500 0.6667 Utilization P(0), probability that the system is empty Lq. expected queue length L, expected number in system Wq, expected time in queue W, expected total time in system Probability that a customer waits c. Based on this report what is tne average number of customers waiting for a haircut?
A barber shop has one barber who can give 12 haircuts per hour. Customers arrive at a rate of 8 customers per hour. Customer inter-arrival times and service times are exponentially distributed. The following queuing analysis spreadsheet was developed from this information. Arrival rate 12 1 (max of 40) Service rate Number of servers 66.67% 0.3333 1.3333 2.0000 0.1667 0.2500 0.6667 Utilization P(0), probability that the system is empty Lq. expected queue length L, expected number in system Wq, expected time in queue W, expected total time in system Probability that a customer waits c. Based on this report what is tne average number of customers waiting for a haircut?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A barber shop has one barber who can give 12 haircuts per hour. Customers
arrive at a rate of 8 customers per hour. Customer inter-arrival times and service
times are exponentially distributed. The following queuing analysis spreadsheet
was developed from this information.
Arrival rate
8
Service rate
12
Number of servers
1 (max of 40)
Utilization
66.67%
P(0), probability that the system is empty
Lą, expected queue length
L. expected number in system
Wą, expected time in queue
W, expected total time in system
Probability that a customer waits
0.3333
1.3333
2.0000
0.1667
0.2500
0.6667
c. Based on this report what 1s tne average number of customers waiting for a
haircut?
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