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.
Ehmet Kasim. Geni Gupur. "Further Research on the M/G/1 Retrial Queueing Model with Server Breakdowns." J. Appl. Math. 2012 1 - 16, 2012. https://doi.org/10.1155/2012/890243