The Riverton Post Office has four stations for service. Customers line up in single file for service on a FIFO basis. The mean arrival rate is 40 per hour, Poisson distributed, and the mean service time per server is 4 minutes, exponentially distributed. Compute the operating characteristics for this operation. Indicate whether the operation appears to be satisfactory in terms of the following: (a) postal workers’ (servers’) idle time; (b) customer waiting time and/or the number waiting for service; and (c) the percentage of the time a customer can walk in and get served without waiting at all.

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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The Riverton Post Office has four stations for service. Customers line up in single file for service on
a FIFO basis. The mean arrival rate is 40 per hour, Poisson distributed, and the mean service time
per server is 4 minutes, exponentially distributed. Compute the operating characteristics for this operation.
Indicate whether the operation appears to be satisfactory in terms of the following: (a) postal
workers’ (servers’) idle time; (b) customer waiting time and/or the number waiting for service; and
(c) the percentage of the time a customer can walk in and get served without waiting at all.

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