On a dynamical system for a reliability model

DOI10.1007/s11868-011-0038-1zbMath1251.90098OpenAlexW2002126503MaRDI QIDQ1758390

Geni Gupur, Man-Wah Wong

Publication date: 9 November 2012

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11868-011-0038-1

zbMATH Keywords

spectrum\(C_0\)-semigroupunreliable machineinfinite capacityreliable machinestorage buffer

Mathematics Subject Classification ID

Reliability, availability, maintenance, inspection in operations research (90B25) Production models (90B30) Spectrum, resolvent (47A10) Groups and semigroups of linear operators, their generalizations and applications (47D99)

Related Items (5)

Dynamic analysis of a complex system under preemptive repeat repair discipline ⋮ On the asymptotic expression of the time-dependent solution of an M/G/1 queueing model ⋮ Point spectrum of the operator corresponding to a reliability model and application ⋮ Well-posedness and asymptotic behavior of the time-dependent solution of an \(M/G/1\) queueing model ⋮ Convergence of positive operator semigroups

Cites Work

• A contraction semigroup generated by a pseudo-differential operator
• Global solutions of semilinear heat equations in Hilbert spaces
• A semigroup approach to queueing systems
• Tauberian Theorems and Stability of One-Parameter Semigroups
• Analytic semigroups and semilinear heat equations in hilbert spaces
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