Exact busy period distribution of a discrete queue with quadratic rates

DOI10.1080/00207169908804819zbMath0953.60086OpenAlexW2035621122WikidataQ126244309 ScholiaQ126244309MaRDI QIDQ4261191

R. B. Lenin, P. R. Parthasarathy

Publication date: 1 February 2001

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

Full work available at URL: https://doi.org/10.1080/00207169908804819

zbMATH Keywords

busy periodexact distributiondiscrete queuetridiagonal determinant

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25)

Related Items (1)

Transient analysis of a single server discrete-time queue with system disaster

Cites Work

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• First-passage-time and busy-period distributions of discrete-time Markovian queues: \(\text{Geom}(n)/\text{Geom}(n)/1/N\)
• On the transient behavior of a finite birth-death process with an application
• Some equivalencies between closed queueing networks with blocking

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