Point spectrum of the operator corresponding to a reliability model and application

DOI10.1007/S11868-016-0162-ZzbMath1353.47078OpenAlexW2401438026MaRDI QIDQ330593

Geni Gupur

Publication date: 26 October 2016

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

Full work available at URL: https://doi.org/10.1007/s11868-016-0162-z

zbMATH Keywords

eigenvalue\(C_0\)-semigroupgeometric multiplicityessential growth boundsystem consisting of a reliable machine, a storage buffer with infinite capacity and an unreliable machine

Mathematics Subject Classification ID

Reliability, availability, maintenance, inspection in operations research (90B25) One-parameter semigroups and linear evolution equations (47D06) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)

Related Items (4)

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 ⋮ Optimal bilinear control of a reparable multi-state system ⋮ Well-posedness and asymptotic behavior of the time-dependent solution of an \(M/G/1\) queueing model

Cites Work

• Analysis and approximation of a reliable model
• On the spectral theory of elliptic differential operators. I
• One-parameter semigroups of positive operators
• The spectra of the Laplacian
• On a dynamical system for a reliability model
• A cold system with two different components and a single vacation of the repairman
• Functional Analysis Methods for Reliability Models
• Vector-valued Laplace Transforms and Cauchy Problems
• One-Parameter Semigroups for Linear Evolution Equations
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