Abstract
The pair (W(t), L(t)t⩾0, of the virtual waiting time and the queue line processes is considered in the GI/G/1 queueing system with the traffic intensity one. An asymptotic of
) conditioned on the event {T>t} is given ast→∞, whereT is the length of the first busy period. A similar result is also given in the situation whent runs over the arrival moments of customers.
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Szczotka, W., Topolski, K. Conditioned limit theorem for the pair of waiting time and queue line processes. Queueing Syst 5, 393–400 (1989). https://doi.org/10.1007/BF01225327
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DOI: https://doi.org/10.1007/BF01225327