UPPER BOUND FOR THE DECAY RATE OF THE MARGINAL QUEUE-LENGTH DISTRIBUTION IN A TWO-NODE MARKOVIAN QUEUEING SYSTEM(<Special Issue>Network Design, Control and Optimization)

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概要

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• 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.

• 社団法人日本オペレーションズ・リサーチ学会の論文

著者

• Takahashi Yukio

  Tokyo Institute of Technology

• Makimoto Naoki

  The University Of Tsukuba

• Katou Ken'ichi

  The University Of Electro Communications

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