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Single-channel system with circular access or processor-sharing and branching processes

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Publication:751745
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DOI10.1007/BF01158914zbMath0715.60121MaRDI QIDQ751745

S. A. Grishechkin

Publication date: 1988

Published in: Mathematical Notes (Search for Journal in Brave)


zbMATH Keywords

branching processeswaiting timeGalton-Watson processestransient phenomenaCrump-Mode-Jagers processesprocessor-sharing


Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)


Related Items (1)

Mathematical problems in the theory of processor-sharing queueing systems



Cites Work

  • Limit theorems for the integrals of some branching processes
  • A new approach to the M/G/1 processor-sharing queue
  • The sojourn-time distribution in the M/G/1 queue by processor sharing
  • Waiting Time Distributions for Processor-Sharing Systems
  • Some limit theorems for the total progeny of a branching process
  • Further results on the critical Galton-Watson process with immigration
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