A heavy-traffic expansion for asymptotic decay rates of tail probabilities in multichannel queues

DOI10.1016/0167-6377(94)90081-7zbMath0814.90029OpenAlexW2150501073MaRDI QIDQ1342266

Joseph Abate, Ward Whitt

Publication date: 11 January 1995

Published in: Operations Research Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-6377(94)90081-7

zbMATH Keywords

asymptoticstail probabilitieswaiting-time distributionheavy-traffic asymptotic expansionstable infinite-capacity multichannel queuessuperposition of independent nonidentical renewal processes

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)

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SET-VALUED PERFORMANCE APPROXIMATIONS FOR THE QUEUE GIVEN PARTIAL INFORMATION ⋮ Asymptotic expansions of defective renewal equations with applications to perturbed risk models and processor sharing queues ⋮ Large deviations of sojourn times in processor sharing queues ⋮ Stochastic grey-box modeling of queueing systems: fitting birth-and-death processes to data

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