Statistics and Probability The Fast Shop Market checkout counter is a single-server queuing system with the following characteristics: (1) An infinite calling population (2) A FIFO queue discipline (3) Poisson arrival rate (4) Exponential service times By past experience, we know that 24 customers arrive the checkout counter per hour and 30 customers can be checked out per hour. Determine the following items. If a new employee is hired, customers can be served in less time, 40 customers can be served per hour. Assume the arrival rate remain unchanged. Determine the following items. (c) On average, how many customers are there in queue? (d) Average time in the system per customer. (e) Probability that the server will be busy and the customer must be wait.

Statistics and Probability The Fast Shop Market checkout counter is a single-server queuing system with the following characteristics: (1) An infinite calling population (2) A FIFO queue discipline (3) Poisson arrival rate (4) Exponential service times By past experience, we know that 24 customers arrive the checkout counter per hour and 30 customers can be checked out per hour. Determine the following items. If a new employee is hired, customers can be served in less time, 40 customers can be served per hour. Assume the arrival rate remain unchanged. Determine the following items. (c) On average, how many customers are there in queue? (d) Average time in the system per customer. (e) Probability that the server will be busy and the customer must be wait.

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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Statistics and Probability
The Fast Shop Market checkout counter is a single-server queuing system with the following
characteristics:
(1) An infinite calling population
(2) A FIFO queue discipline
(3) Poisson arrival rate
(4) Exponential service times
By past experience, we know that 24 customers arrive the checkout counter per hour and 30
customers can be checked out per hour. Determine the following items.
If a new employee is hired, customers can be served in less time, 40 customers can be served per
hour. Assume the arival rate remain unchanged. Determine the following items.
(c) On average, how many customers are there in queue?
(d) Average time in the system per customer.
(e) Probability that the server will be busy and the customer must be wait.

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