Infinite-server queues with Hawkes input

DOI10.1017/jpr.2018.58zbMath1402.60120arXiv1707.02196OpenAlexW2759162801WikidataQ126010414 ScholiaQ126010414MaRDI QIDQ4555298

D. T. Koops, M. Saxena, Onno J. Boxma, M. R. H. Mandjes

Publication date: 19 November 2018

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.02196

zbMATH Keywords

heavy trafficbranching processheavy-tailed distributioninfinite-server queueHawkes processself-exciting process

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items

Technical Note—Approximating Systems Fed by Poisson Processes with Rapidly Changing Arrival Rates, Heavy traffic limits for queues with non-stationary path-dependent arrival processes, Infinite-server systems with Hawkes arrivals and Hawkes services, Perfect Sampling of Hawkes Processes and Queues with Hawkes Arrivals, An ephemerally self-exciting point process, Matrix calculations for moments of Markov processes, On the splitting and aggregating of Hawkes processes, A functional limit theorem for general shot noise processes, A transient symmetry analysis for the \(M/M/1/k\) queue, Queues Driven by Hawkes Processes, Infinite-server systems with Coxian arrivals, New perspectives on the Erlang-A queue, Functional limit theorems for nonstationary marked Hawkes processes in the high intensity regime, Transient analysis of an affine queue-Hawkes process, Shot-noise queueing models, Single-server queues under overdispersion in the heavy-traffic regime, On the distributions of infinite server queues with batch arrivals

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