Scaling limits for infinite-server systems in a random environment

DOI10.1214/16-SSY214zbMath1367.60112arXiv1602.00499MaRDI QIDQ5738842

Johan S. H. van Leeuwaarden, M. Heemskerk, M. R. H. Mandjes

Publication date: 13 June 2017

Full work available at URL: https://arxiv.org/abs/1602.00499

zbMATH Keywords

central limit theoremoverdispersionlarge deviationsrandom environmentscaling limitsCox processesinfinite-server queuesnon-Poisson arrival processes

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Stochastic network models in operations research (90B15) Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Large deviations (60F10) Processes in random environments (60K37) Functional limit theorems; invariance principles (60F17) Stochastic integral equations (60H20)

Related Items (10)

Technical Note—Approximating Systems Fed by Poisson Processes with Rapidly Changing Arrival Rates ⋮ Infinite-server queues with Hawkes input ⋮ Functional large deviations for Cox processes and \(Cox / G / \infty\) queues, with a biological application ⋮ Exact Asymptotics for a Multitimescale Model with Applications in Modeling Overdispersed Customer Streams ⋮ A ruin model with a resampled environment ⋮ Staffing for many-server systems facing non-standard arrival processes ⋮ Infinite-server systems with Coxian arrivals ⋮ Exact asymptotics in an infinite-server system with overdispersed input ⋮ Infinite server queues in a random fast oscillatory environment ⋮ Single-server queues under overdispersion in the heavy-traffic regime

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