The supervisor at the Precision Machine Shop wants to de-termine the staffing policy that minimizes total operatingcosts. The average arrival rate at the tool crib, where tools aredispensed to the workers, is eight machinists per hour. Eachmachinist’s pay is $20 per hour. The supervisor can staff thecrib either with a junior attendant who is paid $5 per hourand can process 10 arrivals per hour or with a senior atten-dant who is paid $12 per hour and can process 16 arrivals perhour. Which attendant should be selected, and what wouldbe the total estimated hourly cost?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.4: Important Queueing Relationships
Problem 6P
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The supervisor at the Precision Machine Shop wants to de-
termine the staffing policy that minimizes total operating
costs. The average arrival rate at the tool crib, where tools are
dispensed to the workers, is eight machinists per hour. Each
machinist’s pay is $20 per hour. The supervisor can staff the
crib either with a junior attendant who is paid $5 per hour
and can process 10 arrivals per hour or with a senior atten-
dant who is paid $12 per hour and can process 16 arrivals per
hour. Which attendant should be selected, and what would
be the total estimated hourly cost?

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