On the numerical inversion of busy-period related transforms

DOI10.1016/S0167-6377(01)00113-4zbMath1096.90009OpenAlexW2150086784MaRDI QIDQ1612000

J. P. C. Blanc

Publication date: 28 August 2002

Published in: Operations Research Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-6377(01)00113-4

zbMATH Keywords

integral transformcontour integralinversionbusy period

Mathematics Subject Classification ID

Queues and service in operations research (90B22) Laplace transform (44A10) Numerical methods for integral transforms (65R10)

Related Items (2)

Priority queueing systems: from probability generating functions to tail probabilities ⋮ USING SINGULARITY ANALYSIS TO APPROXIMATE TRANSIENT CHARACTERISTICS IN QUEUEING SYSTEMS

Cites Work

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• The Fourier-series method for inverting transforms of probability distributions
• Solving probability transform functional equations for numerical inversion
• Numerical inversion of probability generating functions
• Multidimensional transform inversion with applications to the transient \(M/G/1\) queue
• Calculating the \(M/G/1\) busy-period density and LIFO waiting-time distribution by direct numerical transform inversion
• Evaluating first-passage probabilities for spectrally one-sided Lévy processes
• Limits and Approximations for the Busy-Period Distribution in Single-Server Queues
• Queueing output processes
• Numerical Inversion of Laplace Transforms of Probability Distributions

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