A two-phase cyclic nonhomogeneous Markov chain performability evaluation by explicit approximate inverses applied to a replicated database system

DOI10.1023/B:JMMA.0000015836.94997.2czbMath1041.60067OpenAlexW1990636637MaRDI QIDQ1430223

George A. Gravvanis, Elias A. Lipitakis, Agapios Platis, Konstantinos M. Giannoutakis

Publication date: 27 May 2004

Published in: JMMA. Journal of Mathematical Modelling and Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:jmma.0000015836.94997.2c

zbMATH Keywords

preconditioningqueueing systemsperformabilityparallel iterative methodsMarkov reward modelsreplicated databasesapproximate inverse matrix algorithmscyclic nonhomogeneous Markov chainsimpulse reward

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Management decision making, including multiple objectives (90B50) Queueing theory (aspects of probability theory) (60K25) Iterative numerical methods for linear systems (65F10) Parallel numerical computation (65Y05) Applications of renewal theory (reliability, demand theory, etc.) (60K10) Direct numerical methods for linear systems and matrix inversion (65F05) Markov processes (60J99)

Related Items (3)

Reliability of manufacturing equipment in~complex~environments ⋮ Software rejuvenation and resource reservation policies for optimizing server resource availability using cyclic nonhomogeneous Markov chains ⋮ Optimal server resource reservation policies for priority classes of users under cyclic non-homogeneous Markov modeling

Uses Software

• SHARPE

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