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doi: 10.9734/bpi/ctmcs/v1/9530d , 10.48550/arxiv.2109.12352 , 10.5281/zenodo.5152923 , 10.5281/zenodo.5152924
arXiv: 2109.12352
handle: 10071/26162
doi: 10.9734/bpi/ctmcs/v1/9530d , 10.48550/arxiv.2109.12352 , 10.5281/zenodo.5152923 , 10.5281/zenodo.5152924
arXiv: 2109.12352
handle: 10071/26162
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.
13 pages and 3 figures
Domínio/Área Científica::Ciências Naturais::Matemáticas, Probability (math.PR), Domínio/Área Científica::Ciências Naturais::Ciências da Computação e da Informação, network flow equations, Randomization procedure, Network flow equations, Jackson networks, randomization procedure, FOS: Mathematics, sojourn time, Mathematics - Probability
Domínio/Área Científica::Ciências Naturais::Matemáticas, Probability (math.PR), Domínio/Área Científica::Ciências Naturais::Ciências da Computação e da Informação, network flow equations, Randomization procedure, Network flow equations, Jackson networks, randomization procedure, FOS: Mathematics, sojourn time, Mathematics - Probability
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