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LIMITS FOR CUMULATIVE INPUT PROCESSES TO QUEUES

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Publication:2711569
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DOI10.1017/S0269964800142019zbMath0979.60089OpenAlexW2102777469MaRDI QIDQ2711569

Ward Whitt

Publication date: 17 February 2002

Published in: Probability in the Engineering and Informational Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0269964800142019


zbMATH Keywords

functional limit theoremslimit theoremsreflected Lévy processescumulative busy-time and idle-time processesstochastic fluid queueing networksstochastic fluid queues


Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Functional limit theorems; invariance principles (60F17)


Related Items (7)

Is network traffic approximated by stable Lévy motion or fractional Brownian motion? ⋮ On the full idle time in multiphase queueing systems ⋮ Modeling network traffic by a cluster Poisson input process with heavy and light-tailed file sizes ⋮ On functional limit theorems for the cumulative times in alternating renewal processes ⋮ About the cumulative idle time in multiphase queues ⋮ Conditional limit theorems for regulated fractional Brownian motion ⋮ On Singular Control Problems, the Time-Stretching Method, and the Weak-M1 Topology




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