2016
DOI: 10.1017/jpr.2016.69
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Nonergodic Jackson networks with infinite supply–local stabilization and local equilibrium analysis

Abstract: Classical Jackson networks are a well established tool for the analysis of complex systems. In this paper we analyze Jackson networks with the additional features that (i) nodes may have an infinite supply of low priority work and (ii) nodes may be unstable in the sense that the queue length at these nodes grows beyond any bound. We provide the limiting distribution of the queue length distribution at stable nodes, which turns out to be of product-form. A key step in establishing this result is the development… Show more

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Cited by 1 publication
(4 citation statements)
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“…The interplay of nodes with infinite supply and local stability issues has been studied in depth in [18].…”
Section: Literature Review and Related Workmentioning
confidence: 99%
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“…The interplay of nodes with infinite supply and local stability issues has been studied in depth in [18].…”
Section: Literature Review and Related Workmentioning
confidence: 99%
“…We start the proof with evocation of the subnetwork argument from the proof of Theorem 13 in [18]. It guarantees that the subnetwork W constitutes a Jackson network where the source and sink represent {0} ∪ V .…”
Section: A Proof Of Theoremmentioning
confidence: 99%
See 2 more Smart Citations