obs arrive at Loaf Machine Shop. Assume the arrival rate is five jobs per hour. Service times (in minutes per job) do not follow the exponential probability distribution. Two proposed designs for Loaf Machine Shop operation are shown. Design Mean Standard Deviation A 6.0 3.0 B 6.25 0.6   What are the standard deviations of the service times in hours? Which design provides the best operating characteristics? Why?

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 26P
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obs arrive at Loaf Machine Shop. Assume the arrival rate is five jobs per hour. Service times (in minutes per job) do not follow the exponential probability distribution. Two proposed designs for Loaf Machine Shop operation are shown.

Design Mean Standard Deviation
A 6.0 3.0
B 6.25 0.6

 

  1. What are the standard deviations of the service times in hours?
  2. Which design provides the best operating characteristics? Why?
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