Upper bound for the decay rate of the marginal queue-length distribution in a two-node Markovian queueing system

Upper bound for the decay rate of the marginal queue-length distribution in a two-node Markovian queueing system

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Article ID: iaor20051966
Country: Japan
Volume: 47
Issue: 4
Start Page Number: 314
End Page Number: 338
Publication Date: Dec 2004
Journal: Journal of the Operations Research Society of Japan
Authors: , ,
Keywords: MAP/M/1 queues, queueing networks
Abstract:

We study a geometric decay property for two-node queueing networks, not restricted to ones having acyclic configuration. We take a matrix-analytic approach, and prove the geometric decay property of the marginal queue-length distributions by giving an upper bound of the exact decay rate for each node. The upper bound coincides with the exact decay rate for Jackson networks and MAP/M/1→/M/1 tandem queues.

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