Conditioned limit theorem for virtual waiting time process of the GI/G/1 queue |
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| Authors: | K Topolski |
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| Institution: | (1) Institute of Mathematics, Wrocklaw University, Plac Grunwaldzki 2/4, 50-384 Wroclaw, Poland |
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| Abstract: | We prove that in the queueing system GI/G/1 with traffic intensity one, the virtual waiting time process suitably scaled, normed and conditioned by the event that the length of the first busy period exceeds n converges to the Brownian meander process, as n   . |
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| Keywords: | Brownian meander conditioned limit theorems GI/G/1 queue waiting time weak convergence |
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