The transient behaviour of the \(M/E_ k/2\) queue and steady-state simulation

DOI10.1016/0305-0548(88)90020-2zbMath0642.60087OpenAlexW1983506733MaRDI QIDQ1101809

W. David Kelton, Joseph Murray

Publication date: 1988

Published in: Computers \& Operations Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0305-0548(88)90020-2

zbMATH Keywords

expected delayconvergence behaviorsteady-state simulations

Mathematics Subject Classification ID

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

Related Items (7)

A relaxation time heuristic for exponential-Erlang queueing systems ⋮ Predicting the performance of queues -- a data analytic approach ⋮ Mathematical analysis of queue with phase service: an overview ⋮ Analysis of the behavior of the transient period in non-terminating simulations ⋮ Estimating the steady-state mean from short transient simulations ⋮ Approximate solution for multi-server queueing systems with Erlangian service times ⋮ The relaxation time heuristic for the initial transient problem in \(M/M/k\) queueing systems

Cites Work

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• An Empirical Investigation of the Transient Behavior of Stationary Queueing Systems
• A new approach for dealing with the startup problem in discrete event simulation
• The Transient Behavior of the M/M/s Queue, with Implications for Steady-State Simulation
• A Closure Approximation for the Nonstationary M/M/s Queue
• Conservation Equations and Variance Reduction in Queueing Simulations
• Some New Results for the M/M/1 Queue
• Approximating the Behavior of Nonstationary Single-Server Queues
• Optimal Prediction of Times and Queue Lengths in the GI/M/1 Queue
• A conservation law for a wide class of queueing disciplines
• An Approximation for the Moments of Waiting Times

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