On insensitivity conditions of the stationary state probabilities for the networks with the rounds and negative customers

On insensitivity conditions of the stationary state probabilities for the networks with the rounds and negative customers

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Article ID: iaor20043380
Country: Belarus
Volume: 4
Start Page Number: 117
End Page Number: 122
Publication Date: Dec 2003
Journal: Proceedings of the National Academy of Sciences of Belarus, Series of Physical-Mathematical Sciences
Authors:
Abstract:

Opening queueing networks with negative customers, rounds and EPS service discipline are considered. Customers arrive at the network according to a Poisson process. Service duration has general distribution for the nodes with the rounds and an exponential distribution for the nodes with negative customers. It is shown that the stationary state probabilities do not depend on the service time distribution with fixed expectations.

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