Fractional queues with catastrophes and their transient behaviour

DOI10.3390/math6090159zbMath1404.60135OpenAlexW2889416606MaRDI QIDQ1634501

Giacomo Ascione, Enrica Pirozzi, Nikolai N. Leonenko

Publication date: 18 December 2018

Published in: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/math6090159

zbMATH Keywords

busy periodfractional birth-death processesfractional differential-difference equationsfractional queues

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (10)

Non-local solvable birth-death processes ⋮ The entropy production paradox for fractional master equations ⋮ Fractional Erlang queues ⋮ Queuing models with Mittag-Leffler inter-event times ⋮ Modeling volatility of disaster-affected populations: a non-homogeneous geometric-skew Brownian motion approach ⋮ On a fractional queueing model with catastrophes ⋮ Fractional immigration-death processes ⋮ First-passage times and related moments for continuous-time birth-death chains ⋮ Fractionally integrated Gauss-Markov processes and applications ⋮ On the transient behaviour of fractional \(M/M/\infty\) queues

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