On Quadrature Approximation for the Busy Period Density Function of an M/M/1 Queueing System

DOI10.1080/01966324.1998.10737467zbMath0938.60092OpenAlexW2098857336MaRDI QIDQ4259002

P. R. Parthasarathy, V. Vijayalakshmi

Publication date: 19 October 1999

Published in: American Journal of Mathematical and Management Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01966324.1998.10737467

zbMATH Keywords

eigenvaluetridiagonal matrixcontinued fractionChebyshev approximation

Mathematics Subject Classification ID

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

Related Items (2)

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Cites Work

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• Optimal shape design for a frictionless contact problem
• The transient solution to a class of Markovian queues
• Transient analysis of the M/M/1 queue
• A transient solution to an M/M/1 queue: a simple approach
• Transient behavior of the M/M/1 queue via Laplace transforms
• Some Properties of Continued Fractions with Applications in Markov Processes
• A sample path analysis of the M/M/1 queue
• On a new formula for the transient state probabilities for M/M/1 queues and computational implications

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