Throughput bounds for closed queueing networks with queue-dependent service rates

J. George Shanthikumar, David D. Yao

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

20 Citations (Scopus)

Abstract

Consider a closed queueing network (CQN) with a set of stations; the service rate at each station can be any function of the queue length at that station. Upper and lower bounds are developed for the throughput of the CQN. The bounds make use of some results recently developed by the authors on likelihood ratio ordering and its preservation under convolution. As a special case, bounds for the throughput of CQN with multi-server stations are also considered. © 1988.
Original languageEnglish
Pages (from-to)69-78
JournalPerformance Evaluation
Volume9
Issue number1
DOIs
Publication statusPublished - Nov 1988
Externally publishedYes

Research Keywords

  • Closed Queueing Network
  • Stochastic Monotonicity
  • Throughput Bound

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