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
Related Articles
- EP ID EP92079
- DOI -
- Views 167
- Downloads 0
HEAT TRANSFER IN THE COOLER - CPU INTERFACE
The increased number of requests regarding the cooling of the computers and the miniaturization of electronic components, determined the search for new solutions for intensifying the heat exchange between the processor a...
RESEARCHES ON THE INFLUENCE OF ELECTRICAL PARAMETERS OF CIRCUIT ON DEPTH OF DRAWING OF CIRCULAR PARTS THROUGH ELECTRO-HYDRAULIC PROCESS
This paper deals with the influence of the discharge electrical parameters such as wire length and diameter priming discharge, discharge capacity and battery voltage on the stamped depth to electrohydraulic method
EVALUATION OF TERMO-GAS DYNAMIC PARAMETERS FOR ENGINE BRAKE PROCESS
In this work is presented the mathematical model to calculate the thermo-gas dynamic parameters that define the brake engine. This model can be used both for determining the state of the parameters of the working fluid i...
ANALYSIS OF CONDITIONS FOR OBTAINING A KEYHOLE REGIME FOR LASER WELDING
For laser welding using high intensity of laser beam produce the keyhole phenomenon in welding pool. For keyhole welding regime there is a particular of the weld cross-section shape aspect given by the heat affected zone...
INFLUENCE OF POLYMER CONCENTRATION ON THE PERMEATION PROPERTIES OF NANOFILTRATION MEMBRANES
Driving force membrane processes seem to be most useful for water treatment. Membranes are very effective in removing a wide variety of water contaminants. Therefore, the use of these processes in water purification to r...