diagram for this queueing system.

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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8. A certain small grocery store has a single checkout stand with a full-time cashier. Customers arrive at the stand
"randomly" (i.e., a Poisson input process) at a mean rate of 20 per hour. When there is only one customer at
the stand, she is processed by the cashier alone, with an expected service time of 2 minutes. However, the
stock boy has been given standard instructions that whenever there is more than one customer at the stand, he
is to help the cashier by bagging the groceries. This help reduces the expected time required to process a
customer to 1 minute. In both cases, the service-time distribution is exponential.
(a) Construct the rate diagram for this queueing system.
Transcribed Image Text:8. A certain small grocery store has a single checkout stand with a full-time cashier. Customers arrive at the stand "randomly" (i.e., a Poisson input process) at a mean rate of 20 per hour. When there is only one customer at the stand, she is processed by the cashier alone, with an expected service time of 2 minutes. However, the stock boy has been given standard instructions that whenever there is more than one customer at the stand, he is to help the cashier by bagging the groceries. This help reduces the expected time required to process a customer to 1 minute. In both cases, the service-time distribution is exponential. (a) Construct the rate diagram for this queueing system.
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