An approximation method for a single server queue with cyclically indexed arrival and service rates

DOI10.1016/0096-3003(94)00157-YzbMath0838.65146OpenAlexW2027629266MaRDI QIDQ1899334

Douglas J. Morrice, Mark A. J. Song

Publication date: 9 October 1995

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

Full work available at URL: https://doi.org/10.1016/0096-3003(94)00157-y

zbMATH Keywords

performancesensitivity analysisnonlinear optimizationproduction planningstochastic orderingcyclic schedulesarrival and service patternsfrequency domain methodologysingle server Markovian queue

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Probabilistic methods, stochastic differential equations (65C99)

Uses Software

• IMSL Numerical Libraries
• GAMS

Cites Work

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• On an exponential server with general cyclic arrivals
• A single server queue with cyclically indexed arrival and service rates
• Optimal mean squared error analysis of the harmonic gradient estimators
• Analyzing the \(M/M/1\) queue in frequency domain experiments
• Variance and bias reduction techniques for the harmonic gradient estimator
• The Pointwise Stationary Approximation for Mt/Mt/s Queues Is Asymptotically Correct As the Rates Increase
• Stochastic comparisons for single-server queues
• Simulation Factor Screening Using Harmonic Analysis

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