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On the independence of sojourn times in tandem queues
Published online by Cambridge University Press: 01 July 2016
Abstract
Reich (1957) proved that the sojourn times in two tandem queues are independent when the first queue is M/M /1 and the second has exponential service times. When service times in the first queue are not exponential, it has been generally expected that the sojourn times are not independent. A proof for the case of deterministic service times in the first queue is offered here.
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- Copyright © Applied Probability Trust 1989
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