Global and local asymptotics for the busy period of an M/G/1 queue

DOI10.1007/s11134-010-9167-0zbMath1187.60073OpenAlexW2158542556MaRDI QIDQ967286

Denis Denisov, Vsevolod Shneer

Publication date: 28 April 2010

Published in: Queueing Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11134-010-9167-0

zbMATH Keywords

heavy-tailed distributionsbusy periodbusy cycle

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Queueing theory (aspects of probability theory) (60K25) Large deviations (60F10)

Related Items (3)

Externalities in the M/G/1 queue: LCFS-PR versus FCFS ⋮ Stability and busy periods in a multiclass queue with state-dependent arrival rates ⋮ On busy periods of the critical GI/G/1 queue and BRAVO

Cites Work

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• Large deviations for random walks under subexponentiality: The big-jump domain
• On the asymptotic behaviour of first passage times for transient random walk
• Asymptotics for sums of random variables with local subexponential behaviour
• Sampling at subexponential times, with queueing applications
• Tail behaviour of the busy period of a GI/GI/1 queue with subexponential service times
• Tail Asymptotics for the Busy Period in the GI/G/1 Queue
• On the asymptotic behaviour of the distributions of the busy period and service time in M/G/1
• Asymptotics for the First Passage Times of Lévy Processes and Random Walks
• Large Deviations of Square Root Insensitive Random Sums

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