Asymptotic behavior of a critical fluid model for a processor sharing queue via relative entropy

DOI10.1214/15-SSY198zbMath1359.60113OpenAlexW4244236380MaRDI QIDQ2974614

Ruth J. Williams, Amber L. Puha

Publication date: 10 April 2017

Full work available at URL: https://projecteuclid.org/euclid.ssy/1490148013

zbMATH Keywords

queueingrelative entropyprocessor sharingcritical fluid modelfluid model asymptotics

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20) Random measures (60G57) Functional limit theorems; invariance principles (60F17)

Related Items (4)

Asymptotic behavior of a critical fluid model for bandwidth sharing with general file size distributions ⋮ Long-Time Limit of Nonlinearly Coupled Measure-Valued Equations that Model Many-Server Queues with Reneging ⋮ Stability of a Subcritical Fluid Model for Fair Bandwidth Sharing with General File Size Distributions ⋮ Asymptotic behavior of a critical fluid model for a multiclass processor sharing queue via relative entropy

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