\(\mathrm{G}/\mathrm{GI}/N (+ \mathrm{GI})\) queues with service interruptions in the Halfin-Whitt regime

DOI10.1007/S00186-015-0523-ZzbMath1344.60088OpenAlexW2283397879MaRDI QIDQ261545

Hongyuan Lu, Yuhang Zhou, Guodong Pang

Publication date: 24 March 2016

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

Full work available at URL: https://doi.org/10.1007/s00186-015-0523-z

zbMATH Keywords

functional central limit theoremservice interruptionsfunctional weak law of large numbersHalfin-Whitt regimeimpatient customersmultiserver queuesSkorokhod \(M_1\)-topology

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) 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 (7)

Heavy-traffic limits for an infinite-server fork-join queueing system with dependent and disruptive services ⋮ Customer-Server Population Dynamics in Heavy Traffic ⋮ Two-parameter process limits for infinite-server queues with dependent service times via chaining bounds ⋮ On functional limit theorems for the cumulative times in alternating renewal processes ⋮ Optimal scheduling of critically loaded multiclass \(GI/m/n+m\) queues in an alternating renewal environment ⋮ Two-parameter process limits for an infinite-server queue with arrival dependent service times ⋮ From exhaustive vacation queues to preemptive priority queues with general interarrival times

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