A supermarket is trying to decide how many cash registers to keep open. Suppose an average of 18 customers arrive each hour, and the average checkout time for a customers is 4 minutes. Interarrival times and service times are exponential, and the system may be modeled as an M/M/S/GD/∞/∞ queuing system. It costs $20 per hour to operate a cash register, and a cost of 25 cents is assessed for each minute the customer spends in the cash register area. How many registers should the store
A supermarket is trying to decide how many cash registers to keep open. Suppose an average of 18 customers arrive each hour, and the average checkout time for a customers is 4 minutes. Interarrival times and service times are exponential, and the system may be modeled as an M/M/S/GD/∞/∞ queuing system. It costs $20 per hour to operate a cash register, and a cost of 25 cents is assessed for each minute the customer spends in the cash register area. How many registers should the store
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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![Exercise 1
A supermarket is trying to decide how many cash registers to
keep open. Suppose an average of 18 customers arrive each
hour, and the average checkout time for a customers is 4
minutes. Interarrival times and service times are exponential,
and the system may be modeled as an M/M/S/GD//0 queuing
system. It costs $20 per hour to operate a cash register, and a
cost of 25 cents is assessed for each minute the customer spends
in the cash register area. How many registers should the store
open?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7cdf97f1-c84d-4ee2-a8d1-11369b502a84%2F32789707-7177-4902-9c25-6936883083f9%2F5qjz1ue_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Exercise 1
A supermarket is trying to decide how many cash registers to
keep open. Suppose an average of 18 customers arrive each
hour, and the average checkout time for a customers is 4
minutes. Interarrival times and service times are exponential,
and the system may be modeled as an M/M/S/GD//0 queuing
system. It costs $20 per hour to operate a cash register, and a
cost of 25 cents is assessed for each minute the customer spends
in the cash register area. How many registers should the store
open?
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