Further Research on the M/G/1 Retrial Queueing Model with Server Breakdowns

Ehmet Kasim and Geni Gupur

Journal of Applied Mathematics, 2012, vol. 2012, issue 1

Abstract: We study spectral properties of the operator which corresponds to the M/G/1 retrial queueing model with server breakdowns and obtain that all points on the imaginary axis except zero belong to the resolvent set of the operator and 0 is not an eigenvalue of the operator. Our results show that the time‐dependent solution of the model is probably strongly asymptotically stable.

Date: 2012
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https://doi.org/10.1155/2012/890243

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2012:y:2012:i:1:n:890243

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