Problem 1. (Lee's Barber shop). Lee operates a barber shop. Today, five customers made reservation as below and they will arrive the barber shop sharply. Lee is the only barber, so if Lee is busy that customers will wait in the waiting area. First come first service policy will be observed.

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter20: Queuing Theory
Section: Chapter Questions
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Problem 1. (Lee's Barber shop). Lee operates a barber shop. Today, five customers made
reservation as below and they will arrive the barber shop sharply. Lee is the only barber, so if Lee
is busy that customers will wait in the waiting area. First come first service policy will be observed.
Customer
Wayne
Beckham
Potter
Rogers
Owen
Reservation Time
12:05PM
12:12PM
12:15PM
12:25PM
12:45PM
Q1-1. Draw the number of customers in the waiting line over an hour (from 12PM to 1PM).
Q1-2. Fill out the following 10 blanks.
Customer
Waiting Time
Service Time (Duration)
15 mins
12 mins
8 mins
15 mins
5 mins
Wayne
Beckham
Potter
Rogers
Owen
Q1-3. What are the average waiting time and the average system time?
Q1-4. What are the average queue length and Lee's utilization?
1
System Time
Transcribed Image Text:Problem 1. (Lee's Barber shop). Lee operates a barber shop. Today, five customers made reservation as below and they will arrive the barber shop sharply. Lee is the only barber, so if Lee is busy that customers will wait in the waiting area. First come first service policy will be observed. Customer Wayne Beckham Potter Rogers Owen Reservation Time 12:05PM 12:12PM 12:15PM 12:25PM 12:45PM Q1-1. Draw the number of customers in the waiting line over an hour (from 12PM to 1PM). Q1-2. Fill out the following 10 blanks. Customer Waiting Time Service Time (Duration) 15 mins 12 mins 8 mins 15 mins 5 mins Wayne Beckham Potter Rogers Owen Q1-3. What are the average waiting time and the average system time? Q1-4. What are the average queue length and Lee's utilization? 1 System Time
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