3c. Customers arrive at a Starbucks that has 1 barista and they wait in line on a first-come, first- served basis. Customers arrive according to a Poisson process with a rate of 12 per hour. It takes on average 3.5 minutes for a customer to be served by the barista. No customer leaves without getting coffee. The standard deviation of the service time is 2.25 minutes. 1. What is the average utilization of the barista? [Select] 2. What is the average time (in minutes) a customer spends in line waiting? [Select] minutes 3. How many are waiting in line, on average? [Select] people
3c. Customers arrive at a Starbucks that has 1 barista and they wait in line on a first-come, first- served basis. Customers arrive according to a Poisson process with a rate of 12 per hour. It takes on average 3.5 minutes for a customer to be served by the barista. No customer leaves without getting coffee. The standard deviation of the service time is 2.25 minutes. 1. What is the average utilization of the barista? [Select] 2. What is the average time (in minutes) a customer spends in line waiting? [Select] minutes 3. How many are waiting in line, on average? [Select] people
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
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![3c. Customers arrive at a Starbucks that has 1 barista and they wait in line on a first-come, first-
served basis. Customers arrive according to a Poisson process with a rate of 12 per hour. It takes on
average 3.5 minutes for a customer to be served by the barista. No customer leaves without getting
coffee. The standard deviation of the service time is 2.25 minutes.
1. What is the average utilization of the barista? [Select]
2. What is the average time (in minutes) a customer spends in line waiting?
[Select]
minutes
3. How many are waiting in line, on average? [Select]
people
4. The manager is thinking of adding more baristas, and would like to add as many as needed to get
the probability of delay to a value less than or equal to 1/3. How many baristas are needed for
this? (Assume all baristas have identical service rates.)
[Select]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8a59e75d-11c5-4f5b-ab52-35424bb2354e%2F52ce99f3-0edf-406e-a5ec-f8198e98dfea%2Fcha5o3vl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3c. Customers arrive at a Starbucks that has 1 barista and they wait in line on a first-come, first-
served basis. Customers arrive according to a Poisson process with a rate of 12 per hour. It takes on
average 3.5 minutes for a customer to be served by the barista. No customer leaves without getting
coffee. The standard deviation of the service time is 2.25 minutes.
1. What is the average utilization of the barista? [Select]
2. What is the average time (in minutes) a customer spends in line waiting?
[Select]
minutes
3. How many are waiting in line, on average? [Select]
people
4. The manager is thinking of adding more baristas, and would like to add as many as needed to get
the probability of delay to a value less than or equal to 1/3. How many baristas are needed for
this? (Assume all baristas have identical service rates.)
[Select]
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