Solving probability transform functional equations for numerical inversion
type: Item
instance of: scholarly article
title: Solving probability transform functional equations for numerical inversion
zbMATH Open document ID: 0766.60107
DOI: 10.1016/0167-6377(92)90085-H
author: Joseph Abate
author: Ward Whitt
published in: Operations Research Letters
publication date: 1993-01-04T00:00:00Z
review text: The method for calculating probability cumulative distribution by numerically inverting transform, when Laplace transform is characterized implicitly via functional equations, is presented. The method is illustrated by the busy period distribution for \(M/G/1\) queue.
reviewed by: Anatolij Dvurečenskij
Mathematics Subject Classification ID: 60K25
Mathematics Subject Classification ID: 90B22
zbMATH DE Number: 86092
zbMATH Keywords: numerical transform inversion
zbMATH Keywords: Laplace transform
zbMATH Keywords: busy period
Wikidata QID: Q56763787
describes a project that uses: Algorithm 368
MaRDI profile type: Publication
cites work: The Fourier-series method for inverting transforms of probability distributions
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cites work: On Time Dependent Queuing Processes
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cites work: Busy Period Analysis of a Time-Sharing System
cites work: Q4733209
cites work: The covariance function of the virtual waiting-time process in an M/G/1 queue
cites work: Q3321201
cites work: A Combinatorial Method in the Theory of Queues
full work available at URL: 0167-6377(92)90085-h
OpenAlex ID: W2073875648
description: scientific article; zbMATH DE number 86092