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First exit time for a discrete-time parallel queue

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Publication:2146407
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DOI10.1007/s11134-022-09744-zzbMath1491.90060arXiv2202.08343OpenAlexW4220961666MaRDI QIDQ2146407

Zbigniew Palmowski

Publication date: 16 June 2022

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

Full work available at URL: https://arxiv.org/abs/2202.08343



Mathematics Subject Classification ID

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




Cites Work

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  • Two coupled processors: The reduction to a Riemann-Hilbert problem
  • Two-dimensional ruin probability for subexponential claim size
  • Large deviations for Markov chains in the positive quadrant
  • Reflecting Brownian motion in two dimensions: Exact asymptotics for the stationary distribution
  • Tail Asymptotics of the Stationary Distribution of a Two-Dimensional Reflecting Random Walk with Unbounded Upward Jumps
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