Throughput limits from the asymptotic profile of cyclic networks with state-dependent service rates

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Erscheinungsjahr:
2008
Medientyp:
Text
Schlagworte:
  • Asymptotic queue length
  • Convergence of throughput
  • Cyclic networks
  • Product form
  • State-dependent service
Beschreibung:
  • We consider networks where at each node there is a single exponential server with a service rate which is a non-decreasing function of the queue length. The asymptotic profile of a sequence of networks consists of the set of persistent service rates, the limiting customer-to-node ratio, and the limiting service-rate measure. For a sequence of cyclic networks whose asymptotic profile exists, we compute upper and lower bounds for the limit points of the sequence of throughputs as functions of the limiting customer-to-node ratio. We then find conditions under which the limiting throughput exists and is expressible in terms of the asymptotic profile. Under these conditions, we determine the limiting queue-length distributions for persistent service rates. In the absence of these conditions, the limiting throughput need not exist, even for increasing sequences of cyclic networks. © 2008 Springer Science+Business Media, LLC.
Lizenz:
  • info:eu-repo/semantics/closedAccess
Quellsystem:
Forschungsinformationssystem der UHH
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oai:www.edit.fis.uni-hamburg.de:publications/b0c06e8a-8d36-4411-b5b7-d53c6fddeb77