Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/80734
Citations | ||
Scopus | Web of Science® | Altmetric |
---|---|---|
?
|
?
|
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Bean, N. | - |
dc.contributor.author | O'Reilly, M. | - |
dc.date.issued | 2013 | - |
dc.identifier.citation | Performance Evaluation, 2013; 70(9):578-592 | - |
dc.identifier.issn | 0166-5316 | - |
dc.identifier.issn | 1872-745X | - |
dc.identifier.uri | http://hdl.handle.net/2440/80734 | - |
dc.description.abstract | We derive a uniformization of a stochastic fluid model (SFM) to a Quasi-Birth-and-Death process (QBD) that is spatially-coherent since the continuous level in the SFM has a natural correspondence to the discrete level in the QBD. As a consequence of this, the QBD can be used as a direct approximation of the original SFM, in those situations where a discrete state space is an advantage. We treat the unbounded as well as the bounded cases and illustrate the theory with a numerical example. The key fluid generator, Q, and matrix ψ for the SFMs emerge from the QBD calculations in the natural limit. © 2013 Elsevier B.V. All rights reserved. | - |
dc.description.statementofresponsibility | Nigel G. Bean, Małgorzata M. O’Reilly | - |
dc.language.iso | en | - |
dc.publisher | Elsevier Science BV | - |
dc.rights | Copyright © 2013 Elsevier B.V. All rights reserved. | - |
dc.source.uri | http://dx.doi.org/10.1016/j.peva.2013.05.006 | - |
dc.subject | Stochastic fluid model | - |
dc.subject | Quasi-Birth-and-Death process | - |
dc.subject | Markov chain | - |
dc.subject | Uniformization | - |
dc.title | Spatially-coherent uniformization of a stochastic fluid model to a Quasi-Birth-and-Death process | - |
dc.type | Journal article | - |
dc.identifier.doi | 10.1016/j.peva.2013.05.006 | - |
dc.relation.grant | http://purl.org/au-research/grants/arc/DP110101663 | - |
pubs.publication-status | Published | - |
dc.identifier.orcid | Bean, N. [0000-0002-5351-3104] | - |
Appears in Collections: | Aurora harvest 4 Mathematical Sciences publications |
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.