On asymptotics of the emptiness probability in the M/GI/1 queue

Authors:
S. F. Yashkov;A. S. Yashkova
Affiliations:
Institute for Information Transmission Problems (Kharkevich Institute), Russian Academy of Sciences, Moscow, Russia;Municipal Institute of Zhukovsky, Moscow region, Russia
Venue:
Automation and Remote Control
Year:
2008

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Abstract

We obtain the asymptotic estimation for the non-stationary emptiness probability in the M/GI/1 queue for the case of regularly varying tails of service-time distribution.