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Exact tail asymptotics of a queue with LRD input traffic

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Publication:487102
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DOI10.1007/s10958-013-1636-7zbMath1305.60096OpenAlexW2092303883MaRDI QIDQ487102

Yong-Cai Geng, Sumit K. Garg

Publication date: 19 January 2015

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-013-1636-7



Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)


Related Items (1)

Exact tail asymptotics of a tandem queue with LRD service times



Cites Work

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  • Estimates for the probability of ruin with special emphasis on the possibility of large claims
  • Asymptotic behaviour of Wiener-Hopf factors of a random walk
  • A storage model with self-similar input
  • Tail probabilities for \(M/G/\infty\) input processes. I: Preliminary asymptotics
  • Moments and tails in monotone-separable stochastic networks.
  • Large buffer asymptotics for the queue with fractional Brownian input
  • Steady-state distribution of the buffer content for \(\text{M}/\text{G}/\infty\) input fluid queues


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