The Unconditional Sojourn Time Distribution in the Queue GI/M/1‐K with Processor Sharing Service

DOI10.1002/SAPM199493129zbMath0812.60086OpenAlexW2470917750MaRDI QIDQ4319637

Yongzhi Yang, Charles Knessl

Publication date: 14 May 1995

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/sapm199493129

zbMATH Keywords

singular perturbation methodsasymptotic expansionsqueueing modelprinciple of asymptotic matching

Mathematics Subject Classification ID

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

Cites Work

• Asymptotic Expansions of Moments of the Waiting Time in a Shared-Processor of an Interactive System
• Asymptotic expansions of moments of the waiting time in closed and open processor-sharing systems with multiple job classes
• Heavy-usage asymptotic expansions for the waiting time in closed processor-sharing systems with multiple classes
• The sojourn time in the GI/M/1 queue by processor sharing
• The sojourn-time distribution in the M/G/1 queue by processor sharing
• Response-Time Distribution for a Processor-Sharing System
• Asymptotic approximations for the gi/m/1 queue with processor-sharing service
• Direct Solutions of M/G/1 Processor-Sharing Models
• Moments of the conditioned waiting time in a large closed processor-sharing system
• Waiting Time Distributions for Processor-Sharing Systems

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