Monotonicity of throughput in non-Markovian networks
1989 ◽
Vol 26
(01)
◽
pp. 134-141
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Keyword(s):
Monotonicity of throughput is established in some non-Markovian queueing networks by means of pathwise comparisons. In a series of · /GI/s/N queues with loss at the first node it is proved that increasing the waiting room and/or the number of servers increases the throughput. For a closed network of · /GI/s queues it is shown that the throughput increases as the total number of jobs increases. The technique used for these results does not apply to blocking systems with finite buffers and feedback. Using a stronger coupling argument we prove throughput monotonicity as a function of buffer size for a series of two ·/M/1/N queues with loss and feedback from the second to the first node.
Keyword(s):
1982 ◽
Vol 14
(03)
◽
pp. 654-671
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1993 ◽
Vol 21
(1)
◽
pp. 135-145
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1982 ◽
Vol 61
(10)
◽
pp. 2849-2872
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2002 ◽
Vol 13
(4)
◽
pp. 303-315
◽
1994 ◽
Vol 76
(3)
◽
pp. 529-551
2002 ◽
Vol 13
(4)
◽
pp. 317-329
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