On some integral equations for the evaluation of first-passage-time densities of time-inhomogeneous birth-death processes

•First passage densities for time-inhomogeneous birth-death (BD) chains and restricted BD processes.•Volterra integral equations.•Computational algorithms.•Extinction density and busy period density.•Polya BD process.•Gompertz BD process.•Linear BD processes with immigration.•M(t)/M(t)/∞ queueing sy...

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Bibliographic Details

Published in:	Applied mathematics and computation Vol. 422; p. 126993
Main Authors:	Giorno, Virginia, Nobile, Amelia G.
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 01.06.2022
Subjects:	[formula omitted] Queue Computational algorithms First-passage time Gompertz process Polya process First-passage time Gompertz process Computational algorithms 60J80 60J28 60J27 M(t)/M(t)/1 Queue M(t)/M(t)/∞ Queue Polya process 60J22
ISSN:	0096-3003, 1873-5649
Online Access:	Get full text
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