(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
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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.
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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