Asymptotic Analysis of the Waiting-Time Distribution for a Large Closed Processor-Sharing System

DOI10.1137/0146012zbMath0597.60095OpenAlexW2008872817MaRDI QIDQ3730767

John A. Morrison

Publication date: 1986

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0146012

zbMATH Keywords

singular perturbationsAsymptotic approximations to the steady-state distribution

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Laplace transform (44A10) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Applications of queueing theory (congestion, allocation, storage, traffic, etc.) (60K30)

Related Items (10)

Queueing system with processor sharing and limited memory under control of the AQM mechanism ⋮ Waiting time distributions for closed \(M/M/N\) processor sharing queues ⋮ On spectral properties of finite population processor shared queues ⋮ Busy period distribution in state-dependent queues ⋮ Sojourn time distribution in some processor-shared queues ⋮ Asymptotic Analysis of Spectral Properties of Finite Capacity Processor Shared Queues ⋮ Mathematical problems in the theory of processor-sharing queueing systems ⋮ Head of the line processor sharing for many symmetric queues with finite capacity ⋮ On the sojourn times for many-queue head-of-the-line processor-sharing systems with permanent customers ⋮ Heavy-traffic analysis of the sojourn time in a three node Jackson network with overtaking

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