Customers arrive at a barber shop according to the Poisson distribution. The average time between successive arrivals is 4 minutes. There are three barbers, all of same efficiency. The service time of the customers is exponentially distributed with a mean equal to 7 minutes per customer. Find (a) the expected number of customers in the shop, (b) the expected time a customer spends in the shop, (c) the average time a customer has to wait in the queue,
Customers arrive at a barber shop according to the Poisson distribution. The average time between successive arrivals is 4 minutes. There are three barbers, all of same efficiency. The service time of the customers is exponentially distributed with a mean equal to 7 minutes per customer. Find (a) the expected number of customers in the shop, (b) the expected time a customer spends in the shop, (c) the average time a customer has to wait in the queue,
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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![Question related to queing theory don't copy
Customers arrive at a barber shop according to the Poisson distribution. The average time
between successive arrivals is 4 minutes. There are three barbers, all of same efficiency.
The service time of the customers is exponentially distributed with a mean equal to 7
minutes per customer. Find (a) the expected number of customers in the shop, (b) the expected
time a customer spends in the shop, (c) the average time a customer has to wait in the queue,
(d) the expected number of barbers idle.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1f88847d-2144-4b51-ac97-045567642ca5%2Fbb26388a-82c1-44f0-93fa-03fea1f1f1f7%2Fvubkav_processed.png&w=3840&q=75)
Transcribed Image Text:Question related to queing theory don't copy
Customers arrive at a barber shop according to the Poisson distribution. The average time
between successive arrivals is 4 minutes. There are three barbers, all of same efficiency.
The service time of the customers is exponentially distributed with a mean equal to 7
minutes per customer. Find (a) the expected number of customers in the shop, (b) the expected
time a customer spends in the shop, (c) the average time a customer has to wait in the queue,
(d) the expected number of barbers idle.
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