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Computing Customers Sojourn Times in Jackson Networks Distribution Functions and Moments
Document Title
arXiv:2109.12352
Year (definitive publication)
2021
Language
English
Country
United States of America
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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, 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
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Keywords
Jackson networks,sojourn time,network flow equations,randomization procedure
Fields of Science and Technology Classification
- Mathematics - Natural Sciences
- Computer and Information Sciences - Natural Sciences
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