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.

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.

Jackson networks,sojourn time,Network flow equations,Randomization procedure

• Matemáticas - Ciências Naturais
• Ciências da Computação e da Informação - Ciências Naturais