Taylor series solution of the \(M/M/1\) queueing system

DOI10.1016/0377-0427(92)90007-KzbMath0765.60098MaRDI QIDQ1208567

A. C. Krinik

Publication date: 16 May 1993

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Laplace transformBessel functionsCatalan sequencesingle server queueing systemtransient probabilities

Mathematics Subject Classification ID

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

Related Items (3)

A Simple Formula for the Transient State Probabilities of an M/M/1/∞Queue ⋮ Computation of the transient solution of M/M/1 queue ⋮ A new formula for the transient behaviour of a non-empty M/M/1/\(\infty\) queue.

Cites Work

• Transient behavior of the M/M/1 queue: Starting at the origin
• On representations of the braid group
• A transient solution to an M/M/1 queue: a simple approach
• A sample path analysis of the M/M/1 queue
• Spectral theory for the differential equations of simple birth and death processes
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