The joint distribution of sojourn times for a customer traversing an overtake-free series of queues: The discrete time case

The joint distribution of sojourn times for a customer traversing an overtake-free series of queues: The discrete time case

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Article ID: iaor20002521
Country: United States
Volume: 27
Issue: 3/4
Start Page Number: 297
End Page Number: 323
Publication Date: Apr 1997
Journal: Queueing Systems
Authors:
Keywords: markov processes
Abstract:

We investigate a cycle of Bernoulli servers in discrete time. We show that the joint distribution of a customer's sojourn times at the nodes during a round trip is of product form and can explicitly be written down. The results are used to prove independence of sojourn times in an open series of Bernoulli servers.

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