On the sojourn of an arbitrary customer in an M/M/1 Processor Sharing Queue

DOI10.1080/15326349.2020.1730191zbMath1469.60286arXiv1904.05654OpenAlexW3007374475MaRDI QIDQ4997058

Veronica Quintuna Rodriguez, Fabrice M. Guillemin

Publication date: 28 June 2021

Published in: Stochastic Models (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.05654

zbMATH Keywords

asymptotic analysissojourn time\(M/M/1\) queueprocessor sharing

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20)

Cites Work

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• The waiting time distribution for the random order service \(M/M/1\) queue
• Sojourn time asymptotics in processor-sharing queues
• A new approach to the M/G/1 processor-sharing queue
• The sojourn-time distribution in the M/G/1 queue by processor sharing
• Response-Time Distribution for a Processor-Sharing System
• Sojourn time in an M/M/1 processor sharing queue with permanent customers
• Sojourn time in a Processor Sharing queue with batch arrivals
• Time-shared Systems
• Waiting Time Distributions for Processor-Sharing Systems
• Analysis of the M/M/1 queue with processor sharing via spectral theory

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