A PROBABILISTIC DYNAMIC MODEL ASSOCIATED TO A JACKSON NETWORK, WITH SERIES QUEUES; THE SOLUTION OF THE ASYMPTOTICALLY STABLE STEADY STATE
Journal Title: TEHNOMUS - Year 2011, Vol 18, Issue 1
Abstract
This article studies in detail a subclass of Jackson networks class, namely the subclass of computer networks with queues in series and comes to prove a theorem which is called the Jackson's theorem, which provides a formula that gives an analytic expression of the probability distributions for the asymptotically stable equilibrium state of this subclass. The solution of this model in asymptotically stable equilibrium state will provide, at every moment, the probability that in the network nodes to be a certain number of transitions, in the waiting tail of the node or in processing by the server of the respectively network node.
Authors and Affiliations
MARIN POPA, MIHAITA DRAGAN, MARIANA POPA
Keywords
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