Fluid Limits for Many-Server Systems with Reneging Under a Priority Policy

DOI10.1287/moor.2013.0630zbMath1312.60108OpenAlexW2107546595MaRDI QIDQ5244862

Rami Atar, Haya Kaspi, Nahum Shimkin

Publication date: 31 March 2015

Published in: Mathematics of Operations Research (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/a35d78fcad378df0fbedf1808f524d4da60ac651

zbMATH Keywords

queueingfluid limitsmeasure-valued processesmany-server systemsSkorokhod map

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) Functional limit theorems; invariance principles (60F17)

Related Items (15)

Fluid Limits of G/G/1+G Queues Under the Nonpreemptive Earliest-Deadline-First Discipline ⋮ Law of large numbers for the many-server earliest-deadline-first queue ⋮ Fluid limits of many-server queues with abandonments, general service and continuous patience time distributions ⋮ Large Deviations for the Single-Server Queue and the Reneging Paradox ⋮ Fluid Limits for Multiclass Many-Server Queues with General Reneging Distributions and Head-of-the-Line Scheduling ⋮ Long-Time Limit of Nonlinearly Coupled Measure-Valued Equations that Model Many-Server Queues with Reneging ⋮ Fluid limits for earliest-deadline-first networks ⋮ Robust bounds and optimization at the large deviations scale for queueing models via Rényi divergence ⋮ A Skorokhod map on measure-valued paths with applications to priority queues ⋮ Fluid limits of many-server retrial queues with nonpersistent customers ⋮ Asymptotic optimality of the generalized \(c\mu\) rule under model uncertainty ⋮ Virtual allocation policies for many-server queues with abandonment ⋮ Workload-Dependent Dynamic Priority for the Multiclass Queue with Reneging ⋮ Dynamic Scheduling of Multiclass Many-Server Queues with Abandonment: The Generalized cμ/h Rule ⋮ QED limits for many-server systems under a priority policy

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• On many-server queues in heavy traffic
• The cμ/θ Rule for Many-Server Queues with Abandonment
• A Proof for the Queuing Formula: L = λW
• Heavy-Traffic Limits for Queues with Many Exponential Servers
• [https://portal.mardi4nfdi.de/wiki/Publication:5564837 Mesure invariante sur les classes r�currentes des processus de Markov]

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