Book chapter
Computing customers sojourn times in Jackson networks distribution functions and moments
Manuel Ferreira (Ferreira, M. A. M.);
Book Title
Current topics on mathematics and computer science
Year (definitive publication)
2021
Language
English
Country
India
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(Last checked: 2024-08-22 19:33)

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Abstract
Jackson queuing networks have a lot of practical applications, mainly in services and technologic devices. For the first case, an example are the healthcare networks and, for the second, the computation and telecommunications networks. Evidently the time that a customer - a person, a job, a message … – spends in this kind of systems, its sojourn time[1], is an important measure of its performance, among others. In this work, the practical statistical known results about the sojourn time of a customer, in a Jackson network, distribution are collected and presented. And an emphasis is set on the numerical methods applicable to compute the distribution function and the moments.
Acknowledgements
This work is financed by national funds through FCT -Fundação para a Ciência e Tecnologia, I.P., under the project UIDB/04466/2021. Furthermore, the author thanks the Instituto Universitário de Lisboa and ISTAR-IUL, for their support.
Keywords
Jackson networks,sojourn time,Network flow equations,Randomization procedure
  • Mathematics - Natural Sciences
  • Computer and Information Sciences - Natural Sciences
Funding Records
Funding Reference Funding Entity
UIDB/04466/2021 FCT -Fundação para a Ciência e Tecnologia, I.P.

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