(a) A self-service store employs one cashier at its counter. Nine customers arrive on an average every 5 minutes while cashier can serve 10 customers in 5 mints. Assuming passion distribution for arrival rate and exponential distribution for service time, find • Average number of customer in the system • Average number of customer in the Queues • Average time a customer spends in the system Average time a customer waits before being served.
(a) A self-service store employs one cashier at its counter. Nine customers arrive on an average every 5 minutes while cashier can serve 10 customers in 5 mints. Assuming passion distribution for arrival rate and exponential distribution for service time, find • Average number of customer in the system • Average number of customer in the Queues • Average time a customer spends in the system Average time a customer waits before being served.
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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![(a) A self-service store employs one cashier at its counter. Nine customers arrive on an average every 5
minutes while cashier can serve 10 customers in 5 mints. Assuming passion distribution for arrival rate
and exponential distribution for service time, find
Average number of customer in the system
Average number of customer in the Queues
Average time a customer spends in the system
Average time a customer waits before being served.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F10737070-eaa9-4d2f-a022-9f3d668dadca%2F58ed74c3-ecd9-4815-b9ff-75ec8486e39c%2Fwl1u19_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(a) A self-service store employs one cashier at its counter. Nine customers arrive on an average every 5
minutes while cashier can serve 10 customers in 5 mints. Assuming passion distribution for arrival rate
and exponential distribution for service time, find
Average number of customer in the system
Average number of customer in the Queues
Average time a customer spends in the system
Average time a customer waits before being served.
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