Anzeige
Erschienen in:
2017 | Supplement | Buchkapitel
Fluid Limit for Switching Closed Queueing Network with Two Multi-servers
verfasst von : Svetlana Anulova
Erschienen in: Distributed Computer and Communication Networks
Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.
Wählen Sie Textabschnitte aus um mit Künstlicher Intelligenz passenden Patente zu finden. powered by
Markieren Sie Textabschnitte, um KI-gestützt weitere passende Inhalte zu finden. powered by
Abstract
A closed network consists of two multi-servers with n customers. Service requirements of customers at a multi-server have a common cdf. State parameters of the network: for each multi-server empirical measure of the age of customers being serviced and for the queue the number of customers in it, all multiplied by \(n^{-1}\).
Our objective: asymptotics of dynamics as \(n\rightarrow \infty \). The asymptotics of dynamics of a single multi-server and its queue with an arrival process as the number of servers \(n\rightarrow \infty \) is currently studied by famous scientists K. Ramanan, W. Whitt et al. In the last publications the arrival process is generalized to time-dependent. We develop our previous asymptotics results for a network also in this direction: instead of a simple time dependence a markov swithching behavior of one multi-server is introduced. For the asymptotic process we in a rough way find equilibrium and prove convergence as \(n\rightarrow \infty \).
Motivation for studying such models: they represent call/contact centers, and switching expresses the changes of the system environment.