An M/M/1 driven fluid queue -- continued fraction approach

DOI10.1023/A:1020157021703zbMath1035.90025MaRDI QIDQ1851019

P. R. Parthasarathy, R. B. Lenin, Kolinjivadi Viswanathan Vijayashree

Publication date: 15 December 2002

Published in: Queueing Systems (Search for Journal in Brave)

zbMATH Keywords

modified Bessel function of the first kindcontinued fractionsthree-term recurrence relation

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)

Related Items (14)

On the exact transient solution of fluid queue driven by a birth death process with specific rational rates and absorption ⋮ Analysis of an \(\mathrm{M}/\mathrm{M}/1\) driven fluid queue with multiple exponential vacations ⋮ Fluid queue driven by anM/M/1 disasters queue ⋮ Fluid model driven by an \(M/G/1\) queue with multiple exponential vacations ⋮ Performance analysis of a fluid flow system modulated by a single server queue prone to catastrophic failures and repairs ⋮ Stationary analysis for the fluid model driven by the \({\mathrm{M}/\mathrm{M}/c}\) working vacation queue ⋮ Asymptotic analysis of a fluid model modulated by an M/M/1 queue ⋮ Block-Structured Fluid Queues Driven by QBD Processes ⋮ Fluid queue driven by an \(M/M/1\) queue subject to Bernoulli-schedule-controlled vacation and vacation interruption ⋮ Fluid model modulated by an \(\mathrm{M}/\mathrm{M}/1\) working vacation queue with negative customer ⋮ Birth and Death (BDP) Process Models with Applications ⋮ Fluid model driven by an \(\mathrm{M}/\mathrm{M}/1\) queue with multiple vacations and \(N\)-policy ⋮ Exact transient solution of anM/M/1 driven fluid queue ⋮ Exact tail asymptotics for fluid models driven by an \textit{M/M/c} queue

This page was built for publication: An M/M/1 driven fluid queue -- continued fraction approach