A self-service store employs one cashier at its counter. Nine customers arrive on an average ry 5 minutes while the cashier can serve 10 customers in 5 minutes. Assuming Poisson ribution for arrival rate and exponential distribution for service time, find 1. Average number of customers in the system. 2. Average number of customers in the queue or average queue length. 3. Average time a customer spends in the system. 4. Average time a customer waits before being served.

A self-service store employs one cashier at its counter. Nine customers arrive on an average ry 5 minutes while the cashier can serve 10 customers in 5 minutes. Assuming Poisson ribution for arrival rate and exponential distribution for service time, find 1. Average number of customers in the system. 2. Average number of customers in the queue or average queue length. 3. Average time a customer spends in the system. 4. 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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