Exact transient solution of anM/M/1 driven fluid queue

DOI10.1080/00207160512331329041zbMath1069.60082OpenAlexW2072993119MaRDI QIDQ5460579

Kolinjivadi Viswanathan Vijayashree, Bruno Sericola, P. R. Parthasarathy

Publication date: 18 July 2005

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

Full work available at URL: https://doi.org/10.1080/00207160512331329041

zbMATH Keywords

recurrence relationcontinued fractionsCatalan numbers

Mathematics Subject Classification ID

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

Related Items (5)

On the exact transient solution of fluid queue driven by a birth death process with specific rational rates and absorption ⋮ A fluid queue modulated by two independent birth-death processes ⋮ Asymptotic analysis of a fluid model modulated by an M/M/1 queue ⋮ Stationary analysis of a fluid queue driven by some countable state space Markov chain ⋮ Exact tail asymptotics for fluid models driven by an \textit{M/M/c} queue

Cites Work

• Fluid queue driven by an \(M/M/1\) queue
• An M/M/1 driven fluid queue -- continued fraction approach
• Simple analysis of a fluid queue driven by an \(M/M/1\) queue
• Transient solutions for the buffer behavior in statistical multiplexing
• Transient analysis of the M/M/1 queue
• Stationary solution to the fluid queue fed by an M/M/1 queue
• Transient and Stationary Distributions for Fluid Queues and Input Processes with a Density
• Transient analysis of fluid model for ATM statistical multiplexer
• A finite buffer fluid queue driven by a Markovian queue

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