The Acme Machine Shop has five machines that periodically break down and require service.The average time between breakdowns is 4 days, distributed according to an exponential distribution.The average time to repair a machine is 1 day, distributed according to an exponentialdistribution. One mechanic repairs the machines in the order in which they break down. Determine the probability that the mechanic is idle.
The Acme Machine Shop has five machines that periodically break down and require service.The average time between breakdowns is 4 days, distributed according to an exponential distribution.The average time to repair a machine is 1 day, distributed according to an exponentialdistribution. One mechanic repairs the machines in the order in which they break down. Determine the probability that the mechanic is idle.
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 Acme Machine Shop has five machines that periodically break down and require service.
The average time between breakdowns is 4 days, distributed according to an exponential distribution.
The average time to repair a machine is 1 day, distributed according to an exponential
distribution. One mechanic repairs the machines in the order in which they break down. Determine the probability that the mechanic is idle.
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