A large deviations principle for infinite-server queues in a random environment

DOI10.1007/S11134-015-9470-XzbMath1334.60198arXiv1502.00885OpenAlexW2270643010WikidataQ59468644 ScholiaQ59468644MaRDI QIDQ257073

Sabine Wittevrongel, M. R. H. Mandjes, H. M. Jansen, Koen De Turck

Publication date: 15 March 2016

Published in: Queueing Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.00885

zbMATH Keywords

random environmentlarge deviations principlemodulationinfinite-server queue

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Large deviations (60F10) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20) Processes in random environments (60K37)

Related Items (7)

Functional large deviations for Cox processes and \(Cox / G / \infty\) queues, with a biological application ⋮ The law of the iterated logarithm for two-dimensional stochastic Navier-Stokes equations ⋮ On the upper bound in Varadhan's lemma ⋮ Infinite-server queueing tandem with Markovian arrival process and service depending on its state ⋮ Nonparametric Estimation of Service Time Characteristics in Infinite-Server Queues with Nonstationary Poisson Input ⋮ Asymptotic correlation structure of discounted incurred but not reported claims under fractional Poisson arrival process ⋮ Infinite server queues in a random fast oscillatory environment

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