Customers of Golden Crust Bakery arrive at the single cashier at the rate of 10 per hour. The average service time for the cashier is five minutes. Arrivals follow a Poisson distribution, and service times follow an exponential distribution. a. What is the average utilization of the cashier? b. What is the average number of customers in the system? c. What is the average number of customers in line? d. What is the average time spent in the system? e. What is the average time spent in line?
Customers of Golden Crust Bakery arrive at the single cashier at the rate of 10 per hour. The average service time for the cashier is five minutes. Arrivals follow a Poisson distribution, and service times follow an exponential distribution. a. What is the average utilization of the cashier? b. What is the average number of customers in the system? c. What is the average number of customers in line? d. What is the average time spent in the system? e. What is the average time spent in line?
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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![Customers of Golden Crust Bakery arrive at the single cashier at the rate of 10 per hour.
The average service time for the cashier is five minutes. Arrivals follow a Poisson
distribution, and service times follow an exponential distribution.
a. What is the average utilization of the cashier?
b. What is the average number of customers in the system?
c. What is the average number of customers in line?
What is the average time spent in the system?
e. What is the average time spent in line?
d.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8ee2cb2f-9ff2-43fd-818c-98e9db40c4f4%2F5e8e86db-e7fb-48a8-b2c1-1be5973eca87%2Fztzisb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Customers of Golden Crust Bakery arrive at the single cashier at the rate of 10 per hour.
The average service time for the cashier is five minutes. Arrivals follow a Poisson
distribution, and service times follow an exponential distribution.
a. What is the average utilization of the cashier?
b. What is the average number of customers in the system?
c. What is the average number of customers in line?
What is the average time spent in the system?
e. What is the average time spent in line?
d.
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