Law of large numbers for the many-server earliest-deadline-first queue

DOI10.1016/j.spa.2017.09.009zbMath1388.60155arXiv1610.03218OpenAlexW2963227425MaRDI QIDQ1635901

Rami Atar, Haya Kaspi, Anup Biswas

Publication date: 1 June 2018

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.03218

zbMATH Keywords

fluid limitsmeasure-valued processesmany-server queuesearliest-deadline-firstleast-patient-firstmany-server transport equationmeasure-valued Skorokhod map

Mathematics Subject Classification ID

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) Applications of queueing theory (congestion, allocation, storage, traffic, etc.) (60K30)

Related Items (4)

Fluid limits for shortest job first with aging ⋮ Fluid limits for earliest-deadline-first networks ⋮ Asymptotic Optimality of Power-of-d Load Balancing in Large-Scale Systems ⋮ Fuzzy testing of operating performance index based on confidence intervals

Cites Work

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• Statistical Analysis of a Telephone Call Center

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