Regeneration in tandem queues with multiserver stations
1988 ◽
Vol 25
(02)
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pp. 391-403
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A tandem queue with a FIFO multiserver system at each stage, i.i.d. service times and a renewal process of external arrivals is shown to be regenerative by modeling it as a Harris-ergodic Markov chain. In addition, some explicit regeneration points are found. This generalizes the results of Nummelin (1981) in which a single server system is at each stage and the result of Charlot et al. (1978) in which the FIFO GI/GI/c queue is modeled as a Harris chain. In preparing for our result, we study the random assignment queue and use it to give a new proof of Harris ergodicity of the FIFO queue.
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1979 ◽
Vol 11
(03)
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pp. 660-672
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1999 ◽
Vol 12
(4)
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pp. 417-428
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2000 ◽
Vol 13
(4)
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pp. 429-450
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2006 ◽
Vol 43
(1)
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pp. 274-281
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Keyword(s):
2006 ◽
Vol 43
(01)
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pp. 274-281
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