Spectrum of the operator corresponding to the M/M/1 queueing model with vacations and multiple phases of operation and application

DOI10.1007/S10114-020-9409-YOpenAlexW3093549481MaRDI QIDQ2663286

Nurehemaiti Yiming, Geni Gupur

Publication date: 16 April 2021

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-020-9409-y

zbMATH Keywords

spectrum\(C_0\)-semigrouppoint spectrumtime-dependent solutionM/M/1 queueing model with vacations and multiple phases of operation

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Spectrum, resolvent (47A10) Groups and semigroups of linear operators (47D03) Spectral sets of linear operators (47A25)

Cites Work

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• Modelling and analysis of repairable systems with preventive maintenance
• Analysis of an M/G/\(1\) queue with vacations and multiple phases of operation
• One-parameter semigroups of positive operators
• Well-posedness and asymptotic behavior of the time-dependent solution of an \(M/G/1\) queueing model
• Functional Analysis Methods for Reliability Models
• One-Parameter Semigroups for Linear Evolution Equations
• The application of \(C_0\)-semigroup theory to dynamic queueing systems

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