On the <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$$M_t/M_t/K_t+M_t$$</EquationSource> </InlineEquation> queue in heavy traffic
The focus of this paper is on the asymptotics of large-time numbers of customers in time-periodic Markovian many-server queues with customer abandonment in heavy traffic. Limit theorems are obtained for the periodic number-of-customers processes under the fluid and diffusion scalings. Other results concern limits for general time-dependent queues and for time-homogeneous queues in steady state. Copyright Springer-Verlag Berlin Heidelberg 2013
Year of publication: |
2013
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Authors: | Puhalskii, Anatolii |
Published in: |
Mathematical Methods of Operations Research. - Springer. - Vol. 78.2013, 1, p. 119-148
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Publisher: |
Springer |
Subject: | Many server queues | Heavy traffic | Periodic queues |
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