Transient and busy period analysis of the GI/G/1 queue: The method of stages

DOI10.1007/BF01159205zbMath0743.60091OpenAlexW4232993953MaRDI QIDQ1183679

Daisuke Nakazato, Dimitris J. Bertsimas

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1007/bf01159205

zbMATH Keywords

Laplace transformstransient behaviormethod of stages

Mathematics Subject Classification ID

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

Related Items (9)

Explicit Formulae for the Queue Length Distribution of Batch Arrival Systems ⋮ Predicting the performance of queues -- a data analytic approach ⋮ The Departure Process for Queueing Systems with Batch Arrival of Customers ⋮ Bayesian estimation of finite time ruin probabilities ⋮ Computational Performance of Server Using the Mx/M/1 Queue Model ⋮ The Fourier-series method for inverting transforms of probability distributions ⋮ Busy period analysis of the level dependent \(PH/PH/1/K\) queue ⋮ Robust transient analysis of multi-server queueing systems and feed-forward networks ⋮ Bayesian prediction of the transient behaviour and busy period in short- and long-tailed GI/G/1 queueing systems

Uses Software

• Mathematica

Cites Work

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• The busy period of queues which have a matrix-geometric steady state probability vector
• An Analytic Approach to a General Class of G/G/s Queueing Systems
• Transient behavior of the M/M/1 queue via Laplace transforms
• A Simple and Efficient Algorithm to Compute Tail Probabilities from Transforms
• Transient and busy period analysis of the GIG/1 Queue as a Hilbert factorization problem

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