On eigenvalues of the generator of a \(C_0\)-semigroup appearing in queueing theory

DOI10.1155/2014/896342zbMath1473.47015OpenAlexW2053138154WikidataQ59042686 ScholiaQ59042686MaRDI QIDQ1725214

Geni Gupur

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/896342

zbMATH Keywords

\(C_0\)-semigroupsteady-state solutionM/M/\(1\) queueing model

Mathematics Subject Classification ID

Queues and service in operations research (90B22) One-parameter semigroups and linear evolution equations (47D06)

Related Items (1)

Dynamic analysis of the \(M/G/1\) queueing model with single working vacation

Cites Work

• Modelling and analysis of repairable systems with preventive maintenance
• On the spectral theory of elliptic differential operators. I
• One-parameter semigroups of positive operators
• Functional Analysis Methods for Reliability Models
• One-Parameter Semigroups for Linear Evolution Equations
• Spectral Analysis of Operator in M/M/1 Queueing Model Described by Ordinary Differential Equations
• Essential spectra of elliptic partial differential equations
• The application of \(C_0\)-semigroup theory to dynamic queueing systems
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