An invariant distribution for the G/G/1 queueing operator
1990 ◽
Vol 22
(01)
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pp. 254-256
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We consider the G/G/1 queue as an operator that maps inter-arrival times to inter-departure times of points, given the service times. For arbitrarily fixed statistics of service times, we are interested in the existence of distributions of inter-arrival times that induce identical distributions on the inter-departure times. In this note we prove, by construction, the existence of one of such distribution.
2008 ◽
Vol 25
(05)
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pp. 697-713
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1968 ◽
Vol 64
(2)
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pp. 477-479
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2017 ◽
Vol 261
(2)
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pp. 595-605
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1953 ◽
Vol 49
(3)
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pp. 449-461
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2014 ◽
Vol 51
(3)
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pp. 880-884
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