A semigroup approach to the Gnedenko system with single vacation of a repairman

DOI10.1007/S00233-012-9386-2zbMath1258.93047OpenAlexW2041921690MaRDI QIDQ1941742

Abdukerim Haji, Agnes Radl

Publication date: 21 March 2013

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-012-9386-2

zbMATH Keywords

asymptotic stabilitywell-posednessirreducibilityGnedenko systempositive \(C _{0}\)-semigroup

Mathematics Subject Classification ID

Asymptotic stability in control theory (93D20) Operator-theoretic methods (93B28) Control/observation systems in abstract spaces (93C25)

Related Items (6)

Dynamic analysis of a complex system under preemptive repeat repair discipline ⋮ Uniform convergence of stochastic semigroups ⋮ Dynamic analysis of a deteriorating system with single vacation of a repairman ⋮ Semigroup method for a deteriorating system with multiple vacations of a repairman ⋮ Analysis of the \(M/G/1\) queueing model with second optional service and server breakdowns ⋮ Convergence of positive operator semigroups

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• One-Parameter Semigroups for Linear Evolution Equations
• The application of \(C_0\)-semigroup theory to dynamic queueing systems

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