Jackson network in a random environment: strong approximation
Keyword(s):
We consider a Jackson network with regenerative input flows in which every server is subject to a random environment influence generating breakdowns and repairs. They occur in accordance with two independent sequences of i.i.d. random variables. We establish a theorem on the strong approximation of the vector of queue lengths by a reflected Brownian motion in positive orthant.
2012 ◽
Vol 49
(3)
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pp. 883-887
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2012 ◽
Vol 49
(03)
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pp. 883-887
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2019 ◽
Vol 20
(03)
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pp. 2050015
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2015 ◽
Vol 96
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pp. 262-268
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Keyword(s):
1981 ◽
Vol 41
(2)
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pp. 345-361
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2002 ◽
Vol 18
(2)
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pp. 311-326
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Keyword(s):
1996 ◽
Vol 28
(04)
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pp. 1145-1176
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