Time-dependent analysis for a queue modeled by an infinite system of partial differential equations
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- Gupur, G. Sci. China Math. (2012) 55: 985. doi:10.1007/s11425-011-4351-1
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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.