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

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  • Ehmet Kasim
  • Geni Gupur

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.

Suggested Citation

  • Ehmet Kasim & Geni Gupur, 2012. "Further Research on the M/G/1 Retrial Queueing Model with Server Breakdowns," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-16, August.
    • Handle: RePEc:hin:jnljam:890243
    DOI: 10.1155/2012/890243
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