Method for analyzing the load of MESH-network cluster nodes based on the mathematical model of Jackson networks
DOI:
https://doi.org/10.26906/SUNZ.2025.1.201-204Keywords:
Jackson network, cluster, mathematical model, MESH network, trafficAbstract
The article presents a method for analyzing the load of a cluster of nodes in MESH-networks based on the
mathematical apparatus of Jackson networks. A mathematical model is considered that describes the interaction of nodes in the
cluster. In particular, the model describes their ability to process incoming traffic and redistribute flows among themselves. The
model takes into account the probabilities of application transition between nodes, the service speed of each node, and external
incoming traffic. The main attention is paid to the analysis of the node load and the conditions of system stability. The calculation
of the node load coefficients and the probability of the absence of applications is carried out. The average number of applications
in each node is also calculated. It is shown that to ensure stable operation of the system, it is necessary that the load coefficient of
each node be less than one. The influence of system parameters, such as the intensity of incoming traffic and the speed of service,
on the performance of the cluster is determined. The proposed approach is an effective tool for optimizing MESH networks, as it
allows you to identify nodes with critical loads and assess the stability of the system as a whole. The model can be used to design
new networks and improve existing ones. The model will be especially useful in conditions of heterogeneous traffic and dynamic
changes in system parameters.
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