Show simple item record

dc.contributor.authorSansottera, A.
dc.contributor.authorCasale, G.
dc.contributor.authorCremonesi, P.
dc.date.accessioned2017-02-21T08:18:19Z
dc.date.available2017-02-21T08:18:19Z
dc.date.issued2013-12-31
dc.identifier.isbn978-1-46-736471-3
dc.identifier.urihttp://hdl.handle.net/20.500.11824/548
dc.description.abstractMarkovian Arrival Processes (MAPs) are a tractable class of point-processes useful to model correlated time series, such as those commonly found in network traces and system logs used in performance analysis and reliability evaluation. Marked MAPs (MMAPs) generalize MAPs by further allowing the modeling of multi-class traces, possibly with cross-correlation between multi-class arrivals. In this paper, we present analytical formulas to fit second-order acyclic MMAPs with an arbitrary number of classes. We initially define closed-form formulas to fit second-order MMAPs with two classes, where the underlying MAP is in canonical form. Our approach leverages forward and backward moments, which have recently been defined, but never exploited jointly for fitting. Then, we show how to sequentially apply these formulas to fit an arbitrary number of classes. Representative examples and trace-driven simulation using storage traces show the effectiveness of our approach for fitting empirical datasets.
dc.formatapplication/pdf
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectdependence
dc.subjectMulti-class workload
dc.subjectpoint process
dc.titleFitting second-order acyclic marked markovian arrival processes
dc.typeinfo:eu-repo/semantics/conferenceObjecten_US
dc.identifier.doi10.1109/DSN.2013.6575347
dc.relation.publisherversionhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84883425806&doi=10.1109%2fDSN.2013.6575347&partnerID=40&md5=20aeae19d34ba783fe72e71cfc7d3f3d
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersionen_US
dc.journal.titleProceedings of the International Conference on Dependable Systems and Networksen_US


Files in this item

FilesSizeFormatView

There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record

Reconocimiento-NoComercial-CompartirIgual 3.0 España
Except where otherwise noted, this item's license is described as Reconocimiento-NoComercial-CompartirIgual 3.0 España