A positive recurrence criterion associated with multidimensional queueing processes
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A criterion is given for positive recurrence of a multidimensional, aperiodic, irreducible Markov chain with a denumerable state space. This criterion extends to the multidimensional case Foster's one-dimensional criterion. The multidimensional criterion consists of several conditions, one for each coordinate of the process. The usefulness of this criterion is shown through a queueing network example.
1980 ◽
Vol 17
(03)
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pp. 790-801
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2005 ◽
Vol 37
(4)
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pp. 1015-1034
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1981 ◽
Vol 18
(01)
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pp. 112-121
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2005 ◽
Vol 37
(04)
◽
pp. 1015-1034
◽
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1978 ◽
Vol 15
(04)
◽
pp. 848-851
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