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Conjectures on symmetric queues in heavy traffic

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Publication:2146414
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DOI10.1007/s11134-022-09746-xzbMath1491.90075arXiv2202.02366OpenAlexW4220900067WikidataQ123180971 ScholiaQ123180971MaRDI QIDQ2146414

Bert Zwart

Publication date: 16 June 2022

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

Full work available at URL: https://arxiv.org/abs/2202.02366


Mathematics Subject Classification ID

Queues and service in operations research (90B22)




Cites Work

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  • Scaling limits via excursion theory: interplay between Crump-Mode-Jagers branching processes and processor-sharing queues
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  • A LIFO queue in heavy traffic
  • Invariant states and rates of convergence for a critical fluid model of a processor sharing queue.
  • Diffusion approximation for a processor sharing queue in heavy traffic.
  • On the behavior of LIFO preemptive resume queues in heavy traffic
  • Asymptotic behavior of local times of compound Poisson processes with drift in the infinite variance case
  • Qualitative properties of \(\alpha\)-fair policies in bandwidth-sharing networks
  • The weak convergence of regenerative processes using some excursion path decompositions
  • Stochastic-Process Limits
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