Transient analysis of a fluid queue driven by a chain sequenced birth and death process with catastrophes

DOI10.1504/IJMOR.2016.074853zbMath1452.90142OpenAlexW2508223844MaRDI QIDQ2204195

T. Vijayalakshmi, V. Thangaraj

Publication date: 15 October 2020

Published in: International Journal of Mathematics in Operational Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1504/ijmor.2016.074853

zbMATH Keywords

Laplace transformbirth and death processesdifferential equationsprobability distributioncontinued fractionsfluid queuesqueueing theorystochastic modellingcatastrophesbusy periodschain sequence

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

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A matrix approach for stationary analysis fluid model driven by an \(M/M/1/N\) queue with discouraged arrivals ⋮ Applications of Fluid Queues in Rechargeable Batteries

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