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dc.contributor.authorDayar, T.en_US
dc.contributor.authorOrhan, M. C.en_US
dc.date.accessioned2016-02-08T09:42:51Z
dc.date.available2016-02-08T09:42:51Z
dc.date.issued2012en_US
dc.identifier.issn0021-9002
dc.identifier.urihttp://hdl.handle.net/11693/21198
dc.description.abstractMarkovian systems with multiple interacting subsystems under the influence of a control unit are considered. The state spaces of the subsystems are countably infinite, whereas that of the control unit is finite. A recent infinite level-dependent quasi-birth-and-death model for such systems is extended by facilitating the automatic representation and generation of the nonzero blocks in its underlying infinitesimal generator matrix with sums of Kronecker products. Experiments are performed on systems of stochastic chemical kinetics having two or more countably infinite state space subsystems. Results indicate that, even though more memory is consumed, there are many cases where a matrix-analytic solution coupled with Lyapunov theory yields a faster and more accurate steady-state measure compared to that obtained with simulation. © Applied Probability Trust 2012.en_US
dc.language.isoEnglishen_US
dc.source.titleJournal of Applied Probabilityen_US
dc.relation.isversionofhttp://dx.doi.org/10.1239/jap/1354716665en_US
dc.subjectBiologyen_US
dc.subjectMarkov processen_US
dc.subjectNumerical analysisen_US
dc.subjectQueues: theoryen_US
dc.subjectSimulationen_US
dc.titleKronecker-based infinite level-dependent QBD processesen_US
dc.typeArticleen_US
dc.departmentDepartment of Computer Engineeringen_US
dc.citation.spage1166en_US
dc.citation.epage1187en_US
dc.citation.volumeNumber49en_US
dc.citation.issueNumber4en_US
dc.identifier.doi10.1239/jap/1354716665en_US
dc.publisherApplied Probability Trusten_US


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