Abstract
By studying the spectrum of the underlying operator corresponding to the exhaustive-service M/G/1 queueing model with single vacations we prove that the time-dependent solution of the model strongly converges to its steady-state solution.
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Gupur, G. Time-dependent analysis for a queue modeled by an infinite system of partial differential equations. Sci. China Math. 55, 985–1004 (2012). https://doi.org/10.1007/s11425-011-4351-1
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DOI: https://doi.org/10.1007/s11425-011-4351-1