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Analysis of the M/G/1 retrial queueing model with server breakdowns - MaRDI portal

Analysis of the M/G/1 retrial queueing model with server breakdowns (Q611976)

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scientific article; zbMATH DE number 5826933
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English
Analysis of the M/G/1 retrial queueing model with server breakdowns
scientific article; zbMATH DE number 5826933

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    Analysis of the M/G/1 retrial queueing model with server breakdowns (English)
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    15 December 2010
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    The author proves that the M/G/1 retrial queueing model with server breakdowns has a unique nonnegative time-dependent solution. In addition, when the service completion rate is a constant, the author shows that the time-dependent solution of the model strongly converges to zero.
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    the M/G/1 retrial queueing model with server breakdowns
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    \(C_{0}\)-semigroup
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    dispersive operator
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    resolvent set
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    eigenvalue
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