In a serial system with two servers in sequence, suppose that the interarrival time follows exponential distribution with a mean of 3 minutes. The service time of the first server has a mean of 1 minute with a standard deviation of 2 minutes. The service time of the second server has a mean of 2 minutes with a standard deviation of 1 minute. What is the total cycle time of the serial 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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In a serial system with two servers in sequence, suppose that the interarrival time follows exponential distribution with a mean of 3 minutes. The service time of the first server has a mean of 1 minute with a standard deviation of 2 minutes. The service time of the second server has a mean of 2 minutes with a standard deviation of 1 minute.

What is the total cycle time of the serial system?

 

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ISBN:
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Cengage,